The angular velocity of the wheel when t = 3s is 7.5 rad/s. The reactions exerted by the fixed pin a on the wheel during motion are 75 N upwards and 75 N to the left.
To find the angular velocity of the wheel at t = 3s, we need to calculate the moment of inertia of the wheel and then use the equation relating moment, angular velocity, and moment of inertia.
1. Moment of Inertia (I):
The formula for the moment of inertia of a wheel with radius of gyration (ka) is given by:
I =[tex]mk^2[/tex]
where m is the mass of the wheel and k is the radius of gyration.
Given ka = 200mm = 0.2m and the mass of the wheel is 10 kg, we can calculate the moment of inertia:
I = 10 kg * (0.2[tex]m)^2[/tex]
I = 0.4 kg*[tex]m^2[/tex]
2. Moment (M):
The moment M is given as M = 5t Nm, where t is the time in seconds. At t = 3s, the moment is:
M = 5 * 3 Nm
M = 15 Nm
3. Angular Velocity (ω):
The equation relating moment (M), angular velocity (ω), and moment of inertia (I) is:
M = I * ω
Rearranging the equation, we can solve for ω:
ω = M / I
ω = 15 Nm / 0.4 kg*[tex]m^2[/tex]
ω = 37.5 rad/s
So, the angular velocity of the wheel at t = 3s is 37.5 rad/s.
4. Reactions at Fixed Pin:
To determine the reactions exerted by the fixed pin on the wheel, we need to consider the forces acting on the wheel. The two reactions are normal reaction (N) and tangential reaction (T).
The normal reaction (N) acts perpendicular to the surface of contact and balances the weight of the wheel. Since the wheel is in motion, N will have a component in the vertical direction and a component in the horizontal direction.
The tangential reaction (T) acts tangentially to the motion of the wheel and opposes the applied moment M.
Since the moment is going clockwise, the reactions at fixed pin a will be upwards and to the left.
The magnitude of the reactions can be calculated using the equation:
T = M / R
where R is the radius of the wheel.
Given the radius of the wheel, let's calculate the magnitude of the reactions:
T = 15 Nm / 0.2m
T = 75 N
Therefore, the reactions exerted by the fixed pin a on the wheel during motion are 75 N upwards and 75 N to the left.
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The angular velocity of the wheel when t = 3s is approximately 0.015 rad/s. The reactions exerted by the fixed pin a on the wheel during motion are a normal reaction of approximately 98 N and a tangential reaction of approximately 15 N.
Determine the angular velocity?To find the angular velocity of the wheel at t = 3s, we can use the equation for rotational motion: M = Iα, where M is the moment applied to the wheel, I is the moment of inertia, and α is the angular acceleration. Given M = 5t Nm and t = 3s, we can calculate the moment as M = 5(3) = 15 Nm.
The moment of inertia of the wheel can be expressed as I = mk², where m is the mass of the wheel and k is the radius of gyration. Given m = 10 kg and kₐ = 200 mm = 0.2 m, we can calculate I = 10 * (0.2)² = 0.4 kg·m².
Using the equation M = Iα, we can solve for α: α = M / I = 15 / 0.4 = 37.5 rad/s².
To find the angular velocity at t = 3s, we can use the equation ω = ω₀ + αt, where ω₀ is the initial angular velocity. Since the wheel starts from rest (ω₀ = 0), we have ω = αt = 37.5 * 3 = 112.5 rad/s.
The reactions exerted by the fixed pin a on the wheel during motion include a normal reaction (Rₐ) and a tangential reaction (Tₐ). The normal reaction Rₐ is equal to the weight of the wheel, which can be calculated as Rₐ = mg = 10 * 9.8 = 98 N.
The tangential reaction Tₐ is equal to the centripetal force, which can be calculated using the equation Tₐ = mrω², where r is the radius of the wheel. Assuming r is known, we can substitute the values of m, ω, and r to calculate Tₐ.
Therefore, At t = 3s, the wheel has an angular velocity of around 0.015 rad/s. The fixed pin a exerts reactions on the wheel, including a normal reaction of about 98 N and a tangential reaction of about 15 N.
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a driver drives to depth of 20cm below the surface of water of density 1.0x10 cubed km3 the pressure he experiences isNm-2
Answer:
[tex]20.61\times 10^{5}Nm^{-2}[/tex]
Explanation:
We are given that
h=20 cm=0.20m
1m=100 cm
Density of water=[tex]\rho=1.0\times 10^3 kg/m^3[/tex]
We have to find the pressure experienced by driver at that depth.
Atmospheric pressure, P0=101 kPa
Pressure experience by driver
[tex]P=\rho hg+P_0[/tex]
Where [tex]g=9.8[/tex]
[tex]P=1.0\times 10^3\times 0.20\times 9.8+101[/tex]
[tex]P=2061KPa[/tex]
1 KPa=[tex]1000Nm^{-2}[/tex]
[tex]P=2061\times 1000=2061000N/m^2[/tex]
[tex]P=20.61\times 10^{5}Nm^{-2}[/tex]
According to Newton's second law equation, what is the relationship between net force applied and the acceleration of the object
Acceleration is inversely proportional to the net force
if acceleration goes up forces goes down
if acceleration goes down mass goes down
Acceleration is directly proportional to the net force
Answer:
Acceleration is directly proportional to the net force
Explanation:
The net force acting on an object is given by :
F = ma
Where
m is mass
and
a is acceleration
It can be seen that the relation between the net force and the acceleration is direct i.e. as the acceleration increases, the net force will increase. Hence, the correct option is (d).
what is the area of a car that touches the road if the car's weight on that tire is 3072 N and the pressure exerted on the road is 48 pa
Answer:
Car's touch area = 64 m²
Explanation:
Given:
Weight of car = 3,072 N
Pressure = 48 pa
Find:
Car's touch area
Computation:
Area = Force / Pressure
Car's touch area = 3,072 / 48
Car's touch area = 64 m²
When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures
Answer:
c) affects
Explanation:
im like 90% sure
find the weight of an astronaut whose mass is 75 kg on the moon
A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?
Answer:
22 mins and 30 seconds
Explanation:
2m in 1 min so:
45m in x mins Cross multiply
2x = 45
x = 45/2
x=22.5
Which of the following correctly lists the parts of the water cycle?
Question 7 options:
Evaporation, condensation, temperature, precipitation, collection
Condensation, build-up, runoff, precipitation, collection
Runoff, precipitation, evaporation, melting, condensation
Evaporation, condensation, precipitation, runoff, collection
evaporation, condensation, precipitation, runoff, collection
A gas has an initial volume of 2.5 L at a temperature of 275 K and a pressure of 2.1 atm. The pressure of the gas increases to 2.7 atm, and the temperature of the gas increases to 298 K. What is the final volume of the gas, rounded to the nearest tenth? 2.1 L 2.5 L 2.7 L 3.0 L
Answer:
2.10L
Explanation:
Given data
V1= 2.5L
T1= 275K
P1= 2.1atm
P2= 2.7 atm
T2= 298K
V2= ???
Let us apply the gas equation
P1V1/T1= P2V2/T2
substitute into the expression we have
2.1*2.5/275= 2.7*V2/298
5.25/275= 2.7*V2/298
Cross multiply
275*2.7V2= 298*5.25
742.5V2= 1564.5
V2= 1564.5/742.5
V2= 2.10L
Hence the final volume is 2.10L
1. Regular reflection is the _______ reflection of light on a(n)______ surface
A.even, smooth
B.non or uneven, rough
C.semi-smooth, rough
D.uneven, rough
Answer:
A. Even, smooth
Explanation:
In regular reflection, light reflected from a smooth surface in a definite direction
3 Below, someone is trying to balance a plank with
stones. The plank has negligible weight.
a Calculate the moment of the 4 N force about O.
b Calculate the moment of the 6 N force about O.
- 2 m *
2 m-*
4 m
Р
1
4N
6N
Answer:
a. The moment of the 4 N force is 16 N·m clockwise
b. The moment of the 6 N force is 12 N·m anticlockwise
Explanation:
In the figure, we have;
The distance from the point 'O', to the 6 N force = 2 m
The position of the 6 N force relative to the point 'O' = To the left of 'O'
The distance from the point 'O', to the 4 N force = 4 m
The position of the 4 N force relative to the point 'O' = To the right of 'O'
a. The moment of a force about a point, M = The force, F × The perpendicular distance of the force from the point
a. The moment of the 4 N force = 4 N × 4 m = 16 N·m clockwise
b. The moment of the 6 N force = 6 N × 2 m = 12 N·m anticlockwise.
When the distance between two charges decreases, the electric force.
Question 8 options:
A. Decrease
B. Only decreased if both charges are opposites
C. Increase
D. Only increase if both charges are positive
Answer:
Increase.
Explanation:
The force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
d is the distance between two charges
The force is inversely proportional to the distance between charges. It means when the distance between two charges decreases, the electric force will increase. Hence, the correct option is (c) "increase".
DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please
Answer:
1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.
Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.
2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…
3. The equation for kinetic energy is: .
Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.
Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,
Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.
Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.
Explanation:
What are the three physical things that can reduce the chances of injury while catching a fastball.
Answer:
Breaking bones, injuring tendons, bruising
Explanation:
why was galileo unable to formulate equations to describe motion?
Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.
Explanation:
Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.
Galileo introduced two different propositions to describe motion of an object, which includes;
uniform acceleration of an objectfree fall of objectsGalileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.
Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".
Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.
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Type the correct answer in the box. Use numerals instead of words. Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample's volume? The sample's volume is cm3.
Answer:
10cm^3
Explanation:
Given data
Mass of steel = 80grams
density of steel= 8 g/cm^3
We know that the formula for density is given as
density= mass/volume
make volume subject of formula
volume= mass/density
volume=80/8
volume= 10cm^3
Hence, the volume 10cm^3
PLEASSSSSEE! PLEASE ANSWER!!! I AM DESPERATE AND THIS IS EXTEMELY URGENT! I NEED AN ANSWER ASAPPP!!!!
Answer:
most potential is someone in an airplane. second is position A, third is position c, fourth is position D, fifth is position B and least potential is a person standing on the ground.
Explanation:
hopefully you understand what I wrote
in which parts of a plant would u expect phototropism to occur?
Answer:
chloroplasts
Explanation:
Most plant shoots exhibit positive phototropism, and rearrange their chloroplasts in the leaves to maximize photosynthetic energy and promote growth.
When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. Affect
D. Structures
Answer:
C. affects
Explanation:
affect means to impact or change. When the system fails it's it impacts or affects the others systems so they become sick.
Which electromagnetic wave can be used to treat cancer? Group of answer choices a.microwaves b.gamma waves c.infrared waves d.xray waves
Answer:
Radiation therapy uses high-energy particles or waves, such as x-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.Hope that helps
If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)?
Answer:
Explanation:
Givens
delta mv = ?
m = 2 kg
vi = 6 m/s right is positive
vf = - 4 m/s left
Formula
delta mv = m (vf - vi)
Solution
delta mv = 2 * (-4 - 6)
delta mv = 2 * - 10
delta mv = - 20 kg m/s
12) Two-point charges each have a value of 3.0 C and 5.0 C and are separated by a distance of 6.0 m. What is the electric field at a point midway between the two charges?
Answer:
The electric field at a point midway between the two charges is 2 x 10⁹ N/C.
Explanation:
Given;
first point charge, Q₁ = 3.0 C
second point charge, Q₂ = 5.0 C
distance between the two point charges, R = 6.0 m
The mid-point between the two charges, r = R/2 = 3.0 m
3.0 C <-------------------->3.0m<----------------------->5.0 C
The forces are acting in opposite direction, the electric field strength of each charge is calculated as;
[tex]E_1 = \frac{kQ_1}{r^2} (-\bar x)\\\\E_1 = \frac{9\times 10^9 \times 3}{3^2}(-\bar x)[/tex]
[tex]E_2 = \frac{kQ_1}{r^2} (+\bar x)\\\\E_2 = \frac{9\times 10^9 \times 5}{3^2} (+\bar x)\\\\[/tex]
The net electric field is calculated as;
[tex]E_{net} = \frac{9\times 10^9 \times 5}{3^2} \ - \ \frac{9\times 10^9 \times 3}{3^2}\\\\E_{net} = \frac{9\times 10^9 }{3^2} (5-3)\\\\E_{net} = 2 \times 10^9 \ N/C[/tex]
Therefore, the electric field at a point midway between the two charges is 2 x 10⁹ N/C.
Which body system allows the student to sense the water and sand textures?
Muscular
Nervous
Skeletal
Immune
Option B is correct. The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.
What is the nervous system?The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.
As we get to higher animals, the nervous system becomes more complicated. jellyfish, have very basic neural nets that run throughout their bodies. Crabs have a more complex nervous system.
The neural system in the human body combines organ activity depending on inputs detected and sent by neurons. They send out information.
Thus Option B is correct.
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in a paragraph explain how electncity is generated at a power plant. please don't answer if you don't know
Answer:
A turbine spins to generate electricity. There are many ways to spin the turbine by using water, steam, nuclear and so on.
Consider two equally charged objects separated by a short distance. According to Coulomb’s Law, how does doubling the charge on one object affect the electric force present between two charged objects
Question 4 options:
A. results in one-half of the original electric force
B. results in one-fourth of the original electric force
C. increases the electric force by a factor of four
D. double force by a factor of four
Answer:
Coulomb's Law states
F = K Q1 * Q2 / R^2 where K is the force constant
F2 / F1 = 2 Q1 * Q2 / (Q1 * Q2) = 2 where one of the charges is doubled
So the force will be doubled (D looks rather vague but it cannot be the other three)
Identifique el tipo de variable para cada situación dada (cualitativa: nominal u ordinal) o (cuantitativa: continua o discreta)
For people who don't speak Spanish.
translation:
Identify the type of variable for each given situation (qualitative: nominal or ordinal) or (quantitative: continuous or discrete)
sorry though I cant answer your question.
Which scientific activities will Juno conduct on its trip to Jupiter? Check all that apply.
a. measuring the amount of water in Jupiter’s atmosphere
b. landing on the planet surface to collect rock samples
c. taking images of the planet using infrared cameras
d. taking chemical “fingerprints” of Jupiter’s gases
e. mapping Jupiter’s gravitational and magnetic field
f. transporting astronauts to the planet
Explanation:
Hope this helps,
Juno entered a polar orbit of Jupiter on July 5th 2016 UTC, to begin a scientific investigation of the planet. After completing its mission, Juno will be intentionally deorbited into Jupiters atmosphere. Junos mission is to measure Jupiters composition, gravitational field, magnetic field, and polar magnetosphere.
Answer:
1
3
4
5
or
a
c
d
e
Explanation:
If you climb to the top of Mt. Everest, you will be 8850 m (about 5.50 mi) above sea level.
What is the acceleration due to gravity at this altitude?
Answer:
9.773m/s2
Explanation:
Given,
h=8848m
The value of sea level is 9.08m/s2
So,
Let g′ be the acceleration due to the gravity on the Mount Everest.
g′=g(1−h2h)
=9.8(1−640000017696)
=9.8(1−0.00276)
9.8×0.99724
=9.773m/s2
Thus, the acceleration due to gravity on the top of Mount Everest is =9.773m/s2
Hope it helped!!!
An experiment is designed to test what color of light will activate a photoelectric cell the best. The photocell is set in a circuit that "clicks" in response to current. The faster the current, the more clicks per minute. In this experiment, the number of clicks in one minute is recorded for each color of light shining on the photocell. To change the color of light, a different color of cellophane is placed over the same flashlight and the flashlight is then located a specific distance from the photocell.
Which of the following was not kept constant?
the color of the light after it has passed through the cellophane
the source of the original light
the distance of the light from the photocell
the test for photocell activation
Answer:
the color of the light after it has passed through the cellophane
Explanation:
Since in the given experiment, there is an impact of various colors of light on the cell i.e. photoelectric that should be measured. The photocell should be placed in a circuit when the current would passed. For every color that falls on the photocell, the value of the current that passed via the cell represent an idea.
In the given situation the color of light shows an independent variable and the dependent variable is clicks per minute or the current that passed through the cell
Answer:
A-the color of the light after it has passed through the cellophane
Explanation:
Find the momentum of a 3.0 kg mass when it is stopped
Answer:
4,0kg it is stopped!!!!!
The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.
What is momentum?Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s². Momentum represents the mass of the moving body.
Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.
From the given,
mass of the object = 3 kg
the velocity of the object = 0 (when the body is stopped v=0)
the momentum, p = m×v
p = 3×0
= 0
The linear momentum of the object is zero.
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What is the plate tectonic theory? *
Answer:
Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago