13824 x 10^3 J electrical energy is converted to light and thermal energy by a 160 w light bulb in one day
What is the best way to define thermal energy?Thermal energy is the movement of the molecules within an object or substance. Every material has heat energy; the sun is the primary thermal energy source in our solar system. The transfer of thermal energy through one material or item to another is known as heat.
Given,
Power = P = 160 W
time = t = 1 day = 24 hours = 24 x 3600 sec = 86400 sec
energy = power x time = 160 x 86400 = 13824 x 10^3 J
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What is better static or dynamic stretching?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
Imagine some cosmic catastrophe jolts Earth so that its axis is perpendicular to the orbital plane between Earth and the sun. The most obvious effect of this change would be ____.
Any cosmic catastrophe jolts the Earth so its axis is perpendicular to the orbital plane between Earth and the sun. Then, the significant effect will be the elimination of the variation of seasons.
A cosmic Catastrophe is a thought experiment in which the sun disappears in an instant. A Planetary Response gradually creates a supranational agency to protect life on Earth from natural threats from terrestrial (pandemics, mega volcanoes, major earthquakes, etc.) and celestial bodies (comets, asteroids, meteor storms, etc.). I am asking you to Variation in a time series within a year that repeats more or less regularly. Seasonal variations can occur due to temperature, precipitation, holidays, seasonal cycles, or holidays. Seasonality is defined as the cyclical changes in food and agricultural labor availability caused by climate change in rural areas of the least developed countries (LDCs).
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20 points!
A student wants to measure the diameter of a ping pong ball, a golf ball, and a baseball.
Which SI unit should the student use?
centimeters
moles
kilometers
milligrams
Answer:
Centimeters.
Explanation:
There are only 2 viable answers here. This is due to the fact that moles are used not to measure diameters but instead the number of atoms.
Similarly, milligrams are not used to measure diameters but instead small volumes.
This leaves us with kilometers and centimeters, and since all 3 objects are more easily representable in centimeters than kilometers, the answer must be centimeters. One example would be the diameter of a ping pong ball, which is approximately 4cm, or in other words, 0.00004km, with 4cm being much more easy to represent as it overall involves less digits.
A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 34.5 m/s. With what maximum speed can it go around a curve having a radius of 60.0 m
With 20.23 ms⁻¹, maximum speed can it go around a curve having a radius of 60.0 m
What's the maximum speed?The highest rate of speed a person can reach is called maximum speed. When athletes alter the magnitude (how quickly they are moving) or direction (or both) of their motion, or both, their acceleration changes as well since acceleration is related to velocity, which has both a magnitude and a direction connected with it.
ac max = V² max / R ....(1)
Inserting given values we get
ac, max = (34.5)² / 150 = 7.935 ms⁻²
For a changed radius of the curve of 60.0 m, the maximum safe speed from (1) becomes
Unew, max= √ac, max R new
Unew, max = √6.826 x 60
Unew, max 1 = 20.23 ms⁻¹, rounded to one decimal place.
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given the masses of p1, p2, p3, and p4 are respectively 1kg, 2kg, 3kg, and 4kg, determine the value of the greatest horizontal range of the four projectiles, assuming they land at the same height that they fire at.
As Projectile range is independent of mass, so They all will have same range.
When an object is close to Earth's surface, its gravitational attraction is calculated using the formula F = mg, where m is the object's mass and g is a constant whose value varies depending on the location. On the surface of the earth, it averages 9.81 meters per second. And when one moves away from the surface in either an inner or an outward direction, this value drops.
Although the strength of the earth's gravitational pull changes depending on the mass of the object, the acceleration caused by it is constant (of course close to the surface). Consequently, when two items of different masses are dropped from the same height, they hit the ground simultaneously (neglect air resistance).
Any motion of a projectile simply consists of vertical and horizontal motion. Regardless of the direction the projectile is going in, gravity controls vertical motion since it only acts in that direction. Additionally, the acceleration caused by gravity is not reliant on the mass of the item. Therefore, the mass has no bearing on the vertical motion.
A projectile moves horizontally in a very straightforward manner. A projectile is not affected by horizontal forces. As a result, its horizontal velocity does not change. Additionally, the range is influenced by horizontal velocity and flying time. Flight time is influenced by vertical motion.
We now know that mass has no bearing on flying duration or range. And if you run into a projectile motion problem, simply divide the problem into horizontal and vertical motions. And handle it the same way you would a single-direction motion. greatly simplifies matters.
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an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is
The required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
Given that,
An object with mass m is dropped from rest and taking air resistance into account.
The velocity as a function of time is,
v(t) = (m g)/c [ 1 - e^-(ct/m)]
v(t) = (m g)/c [ 1 - 1/e^(ct/m)]
lim t → ∝ v(t) = (m g)/c [ 1 - 1/∝]
lim t → ∝ v(t) = (m g)/c ( 1 - 0)
lim t → ∝ v(t) = (m g)/c
Thus, the required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
The question is incomplete. The complete question is 'v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) Calculate lim t→∞ v.'
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Echolocation only works well when the object is as long as or longer than one wavelength of the sound produced.
a) Estimate the size of the smallest object a bat can detect using echolocation when the air temperature is 22 °C
The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.
Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.
For care the Jame of bat, dolphin frequency as explained in alio high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.
Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.
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Of the following objects, on which one would time on its surface run most slowly?
a. An object with the same mass as the Sun but twice as large in radius
b. The Sun
c. An object with the same mass as the Sun but only half as large in radius
The time on the surface of an object would run most slowly on an object with the same mass as the Sun but twice as large in radius.
What is mass?
Mass is a measure of the amount of matter in an object and is typically expressed in kilograms (kg). It is an intrinsic property of matter and is different from weight, which is a measure of the force of gravity acting on an object. Mass is an important factor in determining the physical properties of an object, such as density, momentum, and inertia. Mass is also used to calculate the gravitational force between two objects, as well as the energy required to move it.
This is because the surface gravity of an object is inversely proportional to the square of its radius. Therefore, the object with the same mass as the Sun but twice as large in radius would have a much lower surface gravity, and time would run more slowly on its surface.
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A student carefully measures the time it takes for a turtle to move 10.0 m. He gets a value of 4218.6 s. However he discovers that the stopwatch had already been running for about 300 s before the turtle started to move. How long did it take the turtle to go 10.0 m
The turtle traveled 10 meters in 3,918.6 seconds using simple subtraction.
What does subtracting in math mean?In mathematics, to subtract is to eliminate something from set of things or a group of things. When we remove from the group, the number of items falls or gets less. The minuend, forces at play, and difference are the elements of a subtraction problem.
It involves calculating the distinction between two numbers. The icon looks like this: (minus). In this operation, we take a particular number then split it by a fewer group. In other words, we divide one integer by another. Click here for some difficult addition and subtraction sums.
He gets a value of 4218.6 s
he discovers that the stopwatch had already been running for about 300 s
Time taken by turtle = 4218.6 - 300
= 3918.6 s
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A block of mass mm is initially at rest on a rough horizontal surface when a constant force FF is exerted on it, as shown. The block accelerates to the right and is moving with speed vv once it has moved a distance dd. Which of the following equations can be used to solve for the force of friction exerted on the block by the surface?
F m v2 А F-f= 2d B F-f=ma с F-f= mv2 2d D f-F = mv2 d E f-F = mv2 2d
Block B on the exterior f-F = ma c f-F = mv2 2d f-F = D = mv2 d f-F E f-F = v2 2d.
What is meant by mass surface?A thing's top, exterior, or outermost layer: Tropical rain forests once covered 10% of the earth's surface. The marble has a smooth, polished surface.
The surface of the picture is covered in little fissures. The bowl's exterior has a glossy finish. The wood was rough on the outside. Ice-covered roads ought to be avoided. The phrase "on the surface" describes how something seems, even if it isn't really the case.
The formulas F- f = mv2 / d can be used to determine the force of friction that the surface exerts on the block.
Briefing:
F - f = ma
a = v/t
t = d/v
F - f = m × v / t
F- f = m ×
F- f = m × v²/d
Therefore,
F- f = mv² / d
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A theme park is planning out a new free-fall ride. The drop is almost perfectly frictionless, with a distance of 190 meters. Assuming that the initial velocity was zero, what would be the speed at the bottom of the drop?
a-53 m/s
b-61 m/s
c-67 m/s
d-72 m/s
Answer:
Approximately [tex](-61)\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Under the assumptions, the vehicle would be in a free fall. Acceleration would be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].
Let [tex]u[/tex] denote the initial velocity of the vehicle. Let [tex]v[/tex] denote the velocity of the vehicle at the bottom of the drop. Let [tex]x[/tex] denote the displacement of the vehicle during the drop.
It is given that the initial velocity is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex]. During the drop, displacement would be [tex]x = (-190)\; {\rm m}[/tex] (negative since the vehicle is below where it started.) The value of final velocity [tex]v[/tex] needs to be found.
It is known that the vehicle is moving downwards at the end of the fall. Therefore, the value of [tex]v\![/tex] would be negative. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v[/tex] from [tex]u[/tex], [tex]a[/tex], and [tex]x[/tex].
[tex]\begin{aligned}v^{2} &= u^{2} + 2\, a\, x\end{aligned}[/tex].
[tex]\begin{aligned}v &= -\sqrt{u^{2} + 2\, a\, x} \\ &= -\sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (-9.81\; {\rm m\cdot s^{-2}})\, (-190\; {\rm m})} \\ &\approx (-61)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
(Note that [tex]v[/tex] is negative.)
In other words, the velocity of the vehicle would be approximately [tex](-61)\; {\rm m\cdot s^{-1}}[/tex] at the end of the drop.
A fish introduces more air into its swim bladder so that it rises toward the surface of the water. Which of the following statements best describes the situation? A The fish decreased its buoyant force by decreasing its density. B The fish increased its buoyant force by increasing its density. с The fish increased the buoyant force by reducing its density.
The situation will be describe with:
C. The fish increased the buoyant force by reducing its density.
THE SWIM BLADDERA swim bladder is an internal organ that some fish use to control their buoyancy. The fish can adjust the amount of gas in the swim bladder to make itself more or less dense than the water around it. In order to rise toward the surface of the water, the fish would need to decrease its density relative to the water, which it can do by increasing the amount of air in its swim bladder. This increase in air in the swim bladder reduces the fish's density, which in turn increases its buoyancy and allows it to rise to the surface.
There are different ways that a fish can control its buoyancy, and different species of fish may have different adaptations for doing so. Some fish may have other organs or structures that can be used to control buoyancy, such as lipids in their body tissue, or fins that can be used to control their position in the water.
Additionally, some fish may have the ability to change their shape or size in order to control their buoyancy, such as by swallowing air or by compressing their swim bladder. However, in general, the most common way for fish to control buoyancy is by adjusting the amount of gas in their swim bladder.
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A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
With the use of wave speed and echo formula, the distance is 540 m
What is Echo ?Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.
Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.
The wave speed V = Fλ
Where
V = ?F = 120 KHz = 120,000λ = 3 mm = 0.003 mV = 120000 × 0.003
V = 360 m/s
How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?
Speed V = 2S/t
where
S = distance ?t = time taken = 3 s360 = (2 × S)/3
360 × 3 = 2S
S = 1080/2
S = 540 m
Therefore, the cargo is 540 m away
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When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R
When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.
What do you mean by gravitational force?Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.
Given that the foece on the satellite due to earth gravity is F
(At a distance R from center of Earth)
Initial separation between the satallite and Earth is R
Final separation between the satallite and Earth is 3R
The force on the satallite due to earth is
F= [tex]\frac{GMm}{r^{2} }[/tex]
Here M is mass of earth and m is mass of satellite
if the distance between satellite and earth changed to 3R
the force on the satellite due to earth is
F'=[tex]\frac{GMm}{3R^{2} }[/tex]
F'=[tex]\frac{GMm}{9R^{2} }[/tex]
F'=F/9
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What is the mass of a softball if it hit the catcher's glove traveling at
48.7 m/s2 and struck with a force of 51.3-Newton?
Answer:
To solve this problem, you can use the formula F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. In this case, the force applied to the object is 51.3 newtons and the acceleration of the object is 48.7 m/s2. So, you can set up the equation like this:
51.3 newtons = m x 48.7 m/s2
To solve for the mass of the object, you can divide both sides of the equation by 48.7 m/s2:
51.3 newtons / 48.7 m/s2 = m x 48.7 m/s2 / 48.7 m/s2
This simplifies to:
1.05 kg = m
So, the mass of the softball is approximately 1.05 kilograms.
is/are defined in the NEC as the conductors and equipment for delivering electric energy from the serving utility to the wiring system of the premises served
The cables and machinery used to transport electric energy from the supplying utility to the wiring system of the premises served are referred to as "service" in the NEC. The Service Point is the location where the customer's premises wiring starts and the utility supply terminates.
is the distance between the utility's serving point and the service point specified as the overhead conductors?Drop in service. between the service point and the utility's electrical supply infrastructure, the overhead conductors.
The conductors from the service point to the service disconnecting means are what are referred to as by the NEC.Service conductors are the wires that run from the service point to the method of terminating the service (service equipment, not meter). For both above (service drop) and subterranean, service conductors would include service-entrance conductors (service lateral).
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if Jada has 25 dimes how many quarters dose she have
If Jada has 25 dimes, she has 10 quarters .
What are dime and quarter?Dime is a coin from the United States or Canada which has value of ten cents.
And. quarter is a coin from the United States or Canada which has value of twenty five cents.
Jada has 25 dimes .
Now, we know that 1 dime is equals to 10 cents.
Hence, Jada has = 25 × 10 cents = 250 cents.
Again we know that 1 quarter is worth 25 cents.
So, Jada has = (250 ÷ 25) quarters
= 10 quarters.
Hence, she has 10 quarters.
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Among the elementary subatomic particles of physics is the muon, which decays within a few microseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at 8.85 * 105 cm>s
By using the formulae, λ = h/mv, The De Broglie wavelength of the muon is calculated to be 4.13 × 10^10 m, as according to the given data in the question.
Is the nanosecond the shortest?The shortest measured time is 100 attoseconds. A quadrillionth of a minute is a femtosecond. One quadrillionth of a minute is a picosecond. One quadrillionth of a second is a nanosecond.
What is more compact than nano?Particles are smaller than just a nanometer. Depending on the element, an atom is between 0.1 and 0.3 nm in size. Atoms on the a surface in a SEM image.
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How will you explain the effect of the absorption and release of heat on the kinetic energy and arrangement of particles of matter?
According to the kinetic theory of matter, changes in heat energy allow for phase transitions between solids, liquids, and gases.
When something is heated, the particles inside move faster and have more energy. When an object warms up, its atoms and molecules gain kinetic energy. When something is heated, its constituent atoms or molecules accelerate in their motion. Matter's kinetic energy can be quickly and easily increased.
When an object warms up, its atoms and molecules gain kinetic energy. The atomic or molecular motions of matter increase with temperature. Lifting a particle's kinetic energy is a breeze. When a substance absorbs heat, the inter-particle bonds in it weaken and break, resulting in a phase transition. If the particles aren't moving faster, there can't be any more heat.
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An astronaut (86 kg) on a spacewalk (outside of the shuttle) throws Space Cat (4.8
kg) at a speed of 25 m/s, relative to the shuttle, at an angle of 40 degrees above horizontal
away from himself. What is the speed of the astronaut after launching our feline
superhero?
The speed of the astronaut after launching our feline superhero is 1.4 m/s.
What is the speed of the astronaut?
The speed of the astronaut is determined from the principle of conservation of linear momentum.
Pi = Pf
where;
Pi is the momentum of the astronautPf is the momentum of the cat86vₓ = 4.8 x (25 cos40)
86vₓ = 91.9
vₓ = 91.9 / 86
vₓ = 1.07 m/s
The vertical component of the speed;
86vy = 4.8 x (25 sin40)
86vy = 77.1
vy = 77.1 / 86
vy = 0.9 m/s
The resultant speed of the astronaut is calculated as;
v = √ ( vₓ² + vy² )
v = √ ( 1.07² + 0.9² )
v = 1.4 m/s
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Together, the car and trailer have a mass of 2000 kg. At what rate will the car and trailer accelerate?
The weight of the automobile and trailer together is 2000 kg. The vehicle will accelerate at a rate of 2.5 m/s2.
What does average acceleration formula entail?Acceleration is measured in meters per second squared (ms2), or m s 2. Formula for Average Acceleration: The final velocity minus the initial velocity, divided by the change in time, is the equation for average acceleration (a). A = v t = v f v I t.
What is the linear momentum formula?The product of an object's mass (m) and velocity (v) is its linear momentum. Higher momentum makes it more difficult to halt an object. P = mv is the equation for linear momentum.
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How to solve this electrical circuit?
The resistor that is equivalent to the resistance of the circuit is 1 2/7 Ohms
What is an equivalent resistance of a circuit?The equivalent resistance of a circuit is the (single) resistance that can replace the combination of resistances in the circuit such that the current flowing in the circuit remains the same.
Please find attached the drawing of the circuit, created with an online circuit building tool.
Whereby the capacitor also acts as a resistor of 6 Ohms, we get;
Resistors R₄, R₅, and R₆ are parallel
The resistor equivalent to the three resistors is found as follows;
Req₁ = 1/(1/R₄ + 1/R₅ + 1/R₆)
Therefore, Req₁ = (1/(1/2 + 1/1 + 1/6)) = 0.6
Req₁ is in series with R₁, therefore;
Req₂ = Req₁ + R₁ = 0.6 + 3 = 3.6
Req₂, (Req₁ + R₁ combined) is parallel to R₂ and R₃, therefore;
Req₃ = 1/(1/Req₂ + 1/R₂ + 1/R₃)
Req₃ = 1/(1/3.6 + 1/3 + 1/6) = 9/7 = 1 2/7
The equivalent resistor of the circuit is 1 2/7 ohms
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a box of chocolate bars weighs 180N. Its base has an area of 0.09m2. what pressure does it exert on the ground
Answer:
2000
Explanation:
180/0.09
=2000
pressure=force/area
To help me become a detective, would it matter if I did triple science or not?
Answer:
No, it would not matter if you did triple science or not in terms of becoming a detective. However, it is important to have a good academic background and a strong understanding of the law and criminal justice system. Additionally, having good communication and problem-solving skills is also beneficial.
Explanation:
If an object takes 5 seconds to fall off a building, how high is the building?
A 26 kg crate initially at rest on a horizontal floor requires a 70 N horizontal force to set it in motion. Find the coefficient of static friction between the crate and the floor.
The coefficient of static friction between the crate and the floor is calculated to be 0.275.
The frictional force when an object moves on the horizontal surface is given as,
Ff = μ N
where, N is the normal force
μ is the coefficient of static or kinematic friction
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal force are equal in magnitude.
N = W = m g
Given that,
Mass of the crate = 26 kg
Frictional force Ff = 70 N
Weight of the crate = 26 × 9.8 = 254.8 N
The normal force is 254.8 N.
The coefficient of static friction μ = Ff /N = 70/254.8 = 0.275
Thus, the coefficient of static friction between the crate and the floor is 0.275.
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What is the intensity of 60 dB sound?
The intensity of 60 dB sound is 10⁻⁶ W/m².
A common conversation between two persons seated at a distance of around one meter (3 14 feet) is as loud as 60 dB. It is equivalent to the typical noise level in a restaurant or office.
The decibel scale is a logarithmic one rather than a linear one. Accordingly, 10 dB denotes a sound that is 10 times louder than 0 dB, which represents no sound at all. Now, a sound at 20 decibels is 100 times louder than one at 0 decibels. And so on until a sound that is 100 decibels is 1 billion times louder than total silence (0 decibels).
A sound at 60 dB is therefore 100 times louder than a sound at 40 decibels and 1000 times louder than a sound at 30 decibels, while being 10 times louder than a sound at 50 decibels.
The formula for sound volume is L = log(I/I₀), or (I/I₀) = 10^L.
Given that L = 60dB = 6bel and that we know that I₀ = 10⁻¹² W/m²,
I/I₀ = 10⁶.
or I = 10⁻¹² × 10⁶ = 10⁻⁶ W/m²
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Describe what you could do to make the magnetic disk rotate faster
You could do to make the magnetic disk rotate faster: regular usage of a disc defragmentation program.
What is magnetic disk?A magnetic disk is a storage device that writes, rewrites, and accesses data using the magnetization process. It has a magnetic layer that retains data as tracks, spots, and sectors.
You could do to make the magnetic disk rotate faster:
Plan regular usage of a disc defragmentation program.Try to keep at least 20% of your disc space free, if you can. Defragmentation is facilitated and fragmentation is reduced as a result. Utilize a program like Crystal DiskInfo to regularly check the condition of your drive.Learn more about magnetic disk here:
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Why is i0 10 12 W m2 used as a reference intensity for intensity level?
Since I0 is the lowest sound intensity that a person with normal hearing can detect, it is chosen as the reference point. Given that log10 1 = 0, the decibel level of a sound with an intensity of 10–12 W/m2 is = 0 dB. In other words, the human hearing threshold is zero decibels.
The reference value I0 is 10–12 W/m2, which corresponds to the threshold of hearing intensity at 1000 Hz. The Sound Intensity Level, or SIL for short, is the intensity decibel scale. The related sign, like in our text, is LI.
Much more frequently than sound intensities in watts per square meter, sound intensity levels are expressed in decibels (dB). Both the scientific literature and the public media use decibels as their preferred measurement unit. The rationale behind this decision of units has to do with how we hear. There is a reference intensity, I0 = 1012 W/m2. The lowest or threshold intensity of sound that a person with normal hearing can perceive at a frequency of 1000 Hz is specifically known as I0. The degree of sound intensity is not the same as the intensity. is a unitless quantity that informs you of the sound level in relation to a predefined standard (1012 W/m2, in this case), as it is defined in terms of a ratio.
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A standing wave is set up in a pipe with both ends open. The frequency of its first harmonic is 300 Hz. What is the length of the pipe? Take the speed of sound to be 340 m s–1. Give your answer in meters
When the frequency of a standing wave set up in a pipe (with both ends open) first harmonic is 300 Hz, the length of pipe is 0.567 metres.
Therefore the answer is 0.567 m.
The speed of sound in air is approximately 340 m/s, and the wavelength of the first harmonic of a standing wave in an open pipe is twice the length of the pipe. Therefore, if the frequency of the first harmonic is 300 Hz, the wavelength can be calculated as:
wavelength = speed of sound / frequency
wavelength = (340 m/s) / (300 Hz)
The length of the pipe can be calculated as half the wavelength:
L = wavelength/2
L = (340 m/s) / (2×300 Hz)
L ≈ 0.567 m
So the length of the pipe is 0.68 m
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