An airplane is traveling at 250 m/s in level flight. If the airplane is to make a change in direction, it must travel is a horizontal curved path. To fly in the curved path, the pilot banks the airplane at an angle such that the lift has a horizontal component that provides the horizontal centripetal acceleration to move in a horizontal circular path. If the airplane is banked at an angle of 15.0 degrees, then the radius of curvature of the curved path of the airplane is
Answers
Answer:
The radius of curvature of the curved path of the airplane is 23784.356 meters (23.784 kilometers).
Explanation:
We assume that airplane can be represented as a particle. The free body diagram of the vehicle is presented below as attachment, whose variables are:
[tex]W[/tex] - Weight of the airplane, measured in newtons.
[tex]F[/tex] - Lift, measured in newtons.
[tex]\theta[/tex] - Banking angle, measured in sexagesimal degrees.
The equations of equilibrium associated with the airplane are, respectively:
[tex]\Sigma F_{r} = F\cdot \sin \theta = m\cdot \frac{v^{2}}{R}[/tex] (Eq. 1)
[tex]\Sigma F_{z} = F\cdot \cos \theta - W = 0[/tex] (Eq. 2)
From (Eq. 2):
[tex]F = \frac{W}{\cos \theta}[/tex]
In (Eq. 1):
[tex]W\cdot \tan \theta = m\cdot \frac{v^{2}}{R}[/tex]
By using the definition of weight, we eliminate the mass of the airplane:
[tex]g\cdot \tan \theta = \frac{v^{2}}{R}[/tex]
Where:
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]v[/tex] - Speed, measured in meters per second.
[tex]R[/tex] - Radius of curvature, measured in meters.
Lastly, we clear the radius of curvature with the expression:
[tex]R = \frac{v^{2}}{g\cdot \tan \theta}[/tex]
If we know that [tex]v = 250\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\theta = 15^{\circ}[/tex], the radius of curvature is:
[tex]R = \frac{\left(250\,\frac{m}{s} \right)^{2}}{\left(9.807\,\frac{m}{s^{2}} \right)\cdot \tan 15^{\circ}}[/tex]
[tex]R = 23784.356\,m[/tex]
The radius of curvature of the curved path of the airplane is 23784.356 meters (23.784 kilometers).
Related Questions
3. A substance has a density of 19.3 g/ml. What is the volume of 20.2 g of the
substance? Hint: density can be used as a conversions factor
Answers
Answer:
The answer is 1.05 mLExplanation:
The volume of a substance when given the density and mass can be found by using the formula
[tex]volume = \frac{mass}{density} \\ [/tex]
From the question we have
[tex]volume = \frac{20.2}{19.3} \\ = 1.04663212...[/tex]
We have the final answer as
1.05 mLHope this helps you
why does psychics need a electrical current
Answers
Answer:
Because Electrical Current is the most important thing about psychics
Explanation:
;p
The answer pleaseeeeeee
Answers
A graph of kinetic energy vs the mass of an object is ______________?
Answers
Answer:
The shape of the MASS vs ENERGY graph has a NON-LINEAR RELATIONSHIP.
Explanation:
Your Welcome Friend! :)
A graph of kinetic energy vs the mass of an object is non-linear.
What is the nonlinear relationship?
Changes in the output are not proportional to changes in any of the inputs in a nonlinear connection.
When a linear connection is plotted on a graph, it produces a straight line; however, when a nonlinear relationship is plotted on a graph, it produces a curve.
When graphed, motion energy is proportional to the mass of the moving item, resulting in a linear connection, and it expands with the square of its speed, resulting in a non-linear relationship.
Hence a graph of kinetic energy vs the mass of an object is non-linear.
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If you walk North for 40 feet and then walk East for 30 feet, what is your total distance
travelled? What is your displacement?
Answers
Answer:
The person travelled a total distance of (40+30) feet = 70 feet
Displacement= 50feet (im not positive on the displancement)
displacemeny is the shortest distance between two pionts
Explanation:
5. Two buses X and Y started moving in opposite directions
from a point. After 5 minute Xcovered distance of 250mm
and y covered the distance of 300m. Calculate the relative
velocity.
Answers
Answer:
v = 0.166 [mm/min]
Explanation:
To solve this problem we must calculate the speed of each bus by means of the following formula that relates the displacement with time.
V = displacement / time
displacement = 250 [mm]
time = 5[min] = 300 [s]
Vx = 250/300 = 0.833[mm/min]
Vy = 300/300 = 1 [mm/min]
The relative velocity is the subtraction of the velocities, since the velocities are in opposite directions.
v = (1 - 0.833) = 0.166 [mm/min]
Explain how to find the angle between two nonzero vectors. Choose the correct answer below. A. The angle between two nonzero vectors can be found by first dividing the dot product of the two vectors by the product of the twoâ vectors' magnitudes. Then taking the inverse cosine of the result. B. The angle between two nonzero vectors can be found by first dividing the product of the twoâ vectors' magnitudes by the dot product of the two vectors. Then taking the inverse cosine of the result. C. The angle between two nonzero vectors can be found by first dividing the dot product of the two vectors by the product of the twoâ vectors' magnitudes. Then taking the inverse sine of the result. D. The angle between two nonzero vectors can be found by first dividing the product of the twoâ vectors' magnitudes by the dot product of the two vectors. Then taking the inverse sine of the result.
Answers
Answer:
θ = Cos⁻¹[A.B/|A||B|]
A. The angle between two nonzero vectors can be found by first dividing the dot product of the two vectors by the product of the two vectors' magnitudes. Then taking the inverse cosine of the result
Explanation:
We can use the formula of the dot product, in order to find the angle between two non-zero vectors. The formula of dot product between two non-zero vectors is written a follows:
A.B = |A||B| Cosθ
where,
A = 1st Non-Zero Vector
B = 2nd Non-Zero Vector
|A| = Magnitude of Vector A
|B| = Magnitude of Vector B
θ = Angle between vector A and B
Therefore,
Cos θ = A.B/|A||B|
θ = Cos⁻¹[A.B/|A||B|]
Hence, the correct answer will be:
A. The angle between two nonzero vectors can be found by first dividing the dot product of the two vectors by the product of the two vectors' magnitudes. Then taking the inverse cosine of the result
A Coolie raises a box of mass 20 kg to a height of 1.5m. If the force of gravity on 1 kg is 10N. The work done by the Coolie is
Answers
Mass(m)=20kg
Displacement (s)=1.5m
For 1 kg force of gravity=10N
We have,
F=mg
or,10=1xg
or g=10m/s^2
Then,
Total work done by the coolie(W)=force x displacement
or,W=mxgxs
=20x10x1.5
=300J
Superman is riding his bicycle. At the base of a hill, he has a specific amount of kinetic energy. Then he coasts up the hill without pedaling. He comes to a stop at the top of the hill. Why is Superman’s potential energy at the top of the hill less than his kinetic energy at the bottom of the hill?
A. The hill did work on the bicycle as he went up the hill.
B. The rest of the energy is stored in the muscles of his body.
C. He still has kinetic energy while stopped on the top of the hill.
D. Friction and air resistance created heat on his trip up the hill.
Answers
Answer:
D. Friction and air resistance created heat on his trip up the hill.
Explanation:
Energy transformation from one form to another is not 100% efficient. This is the postulate of the first law of thermodynamics.
Most of the energy transformation is not purely 100%.
When energy is transformed, some are usually wasted.
In this case, in moving from bottom up, Superman produced some heat and encountered air resistance. To reach the top, he must have overcome the resistance and produce enough heat to power him through. This reduces the amount of potential energy that should have been the same as the kinetic energy down below.Explain how hypothesis are related to theories
Answers
A hypothesis is a prediction made prior to conducting research. It is constructed in such a way that it can be tested to see if it is true. A theory is a principle developed to explain what has already been observed in data.
What is hypothesis?A hypothesis is an explanation proposed for a phenomenon. The scientific method requires that a hypothesis be testable in order for it to be considered a scientific hypothesis.
Scientists typically base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.
Theories are frequently used by scientists, researchers, and psychologists to guide their research and develop hypotheses.
A theory must be supported by evidence, whereas a hypothesis guides research and aids in the collection of evidence.
A theory is a tested, well-substantiated, unifying explanation for a set of verified, proven factors in science. A theory is always supported by evidence, whereas a hypothesis is only a possible outcome that can be tested and falsified.
Thus, this way one can concluded that the hypothesis and theories are related.
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what are the 3 sub particles of an atom
Answers
Answer:
Subatomic particles include electrons, the negatively charged, almost massless particles that nevertheless account for most of the size of the atom, and they include the heavier building blocks of the small but very dense nucleus of the atom, the positively charged protons and the electrically neutral neutrons.
Answer:
Neutron, Proton and Electron
Explanation:
Please help I don’t know how to do this
Answers
Answer:
3.176 hoursExplanation:
given:
distance = 270 km
speed = 85 km/h
find:
how long does it take to get into his audition in hours?
solution:
velocity = distance / time
85 km/h = 270 km
t
85 (t) = 270
t = 270 / 85
t = 3.176 hours
What type of fossils were found near Macon Georgia?
Answers
Answer:
I believe whale fossils were found.
Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M isF = GmMr2where G is the gravitational constant and r is the distance between the bodies.(a) Find dF/dr.dFdr = What is the meaning of dF/dr?dF/dr represents the rate of change of the distance between the bodies with respect to the force.dF/dr represents the rate of change of the mass with respect to the force. dF/dr represents the rate of change of the force with respect to the distance between the bodies.dF/dr represents the amount of force per distance.dF/dr represents the rate of change of the mass with respect to the distance between the bodies.What does the minus sign indicate?The minus sign indicates that the force between the bodies is decreasing.The minus sign indicates that the bodies are being forced in the negative direction. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases.The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant.The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases.
Answers
Answer:
Explanation:
a 50-kg object is acted upon by a net force of 360-N how much does it accelerate?
Answers
Answer:
it acceleration 7.2m/s²
Explanation:
mass of object = 50kg
force of object = 360N
acceleration = ?
Force= mass × acceleration
acceleration = force/mass
acceleration = 360N/50Kg
acceleration = 7.2m/s²
it accelerate 7.2 m/s²
Types of muscle tissue includes
Skeletal muscle
Cardiac muscle
Smooth muscle
All of the above
Answers
Answer:
D. all of the above
Explanation:
hope it helps
What Health Related Component of Physical Fitness is the ability of the heart and lungs to supply oxygen to the body? a. Muscular Strength c. Cardiorespiratory Endurance b. Muscular Endurance d. Flexibility
Answers
Explain why a golf ball that is hit on the moon travels much farther than a golf ball that is hit with the same force on Earth.
Answers
Answer:
the reason why is that if it is hit with the same force the moon has a lot less gravity than the earth dose so the golf ball will hit the ground on earth first before the golf ball on moon dose
What indicates that an object has been subjected to an unbalanced force?
Answers
....
Give reasons.
A stone thrown upward returns back to the earth surface.
Answers
Answer:
Gravity
Explanation:
Due to earths gravity, anything that goes into the air returns back to the surface unless it is given the ability to fly.
Hope this helps!
is it better to walk or run in the rain?
Answers
Answer:
Not gonna lie. I actually had to think about this a lot XD
Running in the rain can cause you to slip and get hurt. Which I think isn't what you would want.
Walking in the rain (although it is sad), is actually a better idea than running.
Hope this helps!
Answer:
Walk
Explanation:
Running might stop you from being outside for as long, but running on wet ground will most likely result in a not-so-graceful faceplant.
Use the drop-down menus to order the steps for writing chemical formulas.
- Identify the elements in the compound.
- Write the chemical symbols in the order shown in the name.
- Use the periodic table to find the symbols of elements in the compound.
- Use prefixes to determine the number of each type of atom in the compound.
- Use subscripts to show the number of each type of atom in the compound.
Answers
Answer:
1,3,2,4,5
Explanation:
Because I had right
Following these steps will help write chemical formulas by identifying the elements, finding their symbols, arranging them in order, and determining the appropriate prefixes representing them with subscripts.
Here is the correct order for writing chemical formulas :
1) Identify the elements in the compound.
2) Use the periodic table to find the symbols of elements in the compound.
3) Write the chemical symbols in the order shown in the name.
4) Use prefixes to determine the number of each type of atom in the compound.
5) Use subscripts to show the number of each type of atom in the compound.
Therefore, Following these steps will help you correctly write chemical formulas by identifying the elements, finding their symbols, arranging them in the correct order, determining the appropriate prefixes for the number of atoms, and representing them with subscripts.
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Two forces are described below:
Force 1: The squeezing force applied to remove water from a wet cloth
Force 2: The gravitational force exerted by Earth on the moon
Which statement is true about the forces? (3 points)
Both are contact forces.
Both are non-contact forces.
Force 1 is a non-contact force and Force 2 is a contact force.
Force 1 is a contact force and Force 2 is a non-contact force.
Answers
Answer:
its Force 1 is a contact force and Force 2 is a non-contact force.
Explanation:
I took the test!
Answer:
Force 1 is a contact force, Force 2 is a non-contact force :)
Explanation:
Because Force 1 is an object touching something and Force 2 is a force that is not touching something (hope this helps)
2. When our sun expands and cools, it will turn into a.
Answers
Answer:
Red giant star
Explanation:
How much is the weight of a 1 kg mass at the pole and the equator of the earth
Answers
Given parameters:
Mass given = 1kg
Unknown:
Weight of the body at pole and equator = ?
Solution:
Both locations are on the surface of the earth. Generally, we take 9.8m/s² as the acceleration due to gravity on the earth.
Weight = mass x acceleration due to gravity
But little disparity occurs in the value of acceleration due to gravity from the pole to equator. This is due to equatorial bulge.
At the equator , 9.780 m/s²
pole 9.832 m/s²
Weight at equator = 1 x 9.780 = 9.78N
Weight at the pole = 1 x 9.832 = 9.832N
If you hold a piece of copper wire in an open flame, which of the following will most likely happen?
The heat will travel through the wire to your hand.
The light will change into electricity.
The flame will absorb heat from the wire.
The ſame will get brighter.
Answers
Answer:
The heat will travel through the wire to your hand.
Explanation:
Thats the one that makes the most sense.
Velocity of a car traveling in a straight line increases from 0 m/s to 30 m/s in eight seconds what is the average acceleration of the car
Answers
Average acceleration is how much the car increases (on average) per second. So, since it increases by 30 m/s in 8 s, then dividing 30 by 8 will give you an average acceleration of 3.75 m/s^2 (remember that acceleration is ever increasing, so the unit is s^2, not just s)
Laws of motion are important for the study of objects that are not in motion and objects in motion. Is it true or false?
Answers
True or false- Normally, all objects are electrically positively charged
Answers
When two objects collide and stick together, what will happen to their speed, assuming momentum is conserved?
Answers
If they are moving in the same direction, the faster moving object will slow down and the slower moving object will speed up.
If they are moving in opposite directions the faster will slow down and the slower one will change direction.
Answer:
They will move more slowly.
Explanation:
When the two objects stick together, they can be treated like one larger mass. By increasing mass, and keeping momentum the same, velocity must decrease (a larger object moves slower if all other variables stay the same) by p = mv.