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Rotational Motion AP Physics

Total questions: 53

Worksheet time: 12hrs 4mins

Name
Class
Date
1.
 2600 rev/min is equivalent to which of the following?
a)
2600 rad/s 
b)
43.3 rad/s 
c)
273 rad/s
d)
60 rad/s
2.
A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?
a)
9.6 rad/s/s
b)
4.8 rad/s/s
c)
3.1 rad/s/s
d)
1.6 rad/s/s
3.

A spool of thread has an average radius of 1.00 cm. If the spool contains 62.8 m of thread, how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers.

a)

100

b)

1000

c)

3140

d)

62800

4.

A 0.30m radius automobile tire rotates how many radians after starting from rest and accelerating at a constant 2.0 rad/s2 over a 5.0 s interval?

a)

25 rad

b)

12.5 rad

c)

2 rad

d)

0.5 rad

5.
A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is its angular speed at the instant it goes through an angular displacement of 4.2 rad?
a)
0.025 rad/s
b)
0.11 rad/s
c)
0.46 rad/s
d)
1.2 rad/s
6.
A Ferris wheel starts at rest and builds up to a final angular speed of 0.70 rad/s while rotating through an angular displacement of 4.9 rad. What is its average angular acceleration?
a)
0.01 rad/s/s
b)
0.05 rad/s/s
c)
1.8 rad/s/s
d)
2.6 rad/s/s
7.
A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 7-s interval?
a)
0.2 rad/s
b)
0.3 rad/s
c)
0.46 rad/s
d)
0.78 rad/s
8.
Which object listed below has the greatest momentum?
a)
A 0.05 kg object rolling at 0.2 m/s.
b)
A 0.15 kg object rolling at 2 m/s.
c)
A 0.15 kg object rolling at 1 m/s
d)
A 0.4 kg object rolling at 2 m/s.
9.
Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
a)
the inside horse
b)
the outside horse
c)
Neither
10.
A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,
a)
her moment of inertia increases and her angular speed decreases.
b)
her moment of inertia decreases and her angular speed increases.
c)
her moment of inertia increases and her angular speed increases.
d)
her moment of inertia increases and her angular speed remains the same.
11.
In order to do a lot of flips an Olympic diver would want:
a)
A high rotational inertia
b)
A low rotational inertia
c)
A low linear acceleration
d)
A low angular velocity
12.
What happens to his rotational inertia when a figure skater brings in his arms?
a)
Increase his rotational inertia
b)
Decrease his rotational inertia
c)
has no affect
13.
The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?
a)
10.4 rad/s²
b)
3.43 rad/s²
c)
5.20 rad/s²
d)
1.06 rad/s²
14.
A tin can whirled on the end of a string moves in a circle because 
a)
the can continually pulls on the string.
b)
once the can starts moving, that is its natural tendency.
c)
there is a force on the can pulling it outward.
d)
there is an inward force acting on the can.
15.
Where is the center of gravity of a softball bat located?
a)
Exactly halfway along the bat
b)
In the thin handle
c)
In the more massive end of the bat
16.
Rotational inertia is the resistance an object has to changes in its rotational state.
a)
True
b)
False
17.
Which would have a greater linear velocity?
a)
Kid near the center of the merry go round
b)
Kid near the outside of the merry go round
c)
neither
18.
Why are you more stable when riding a bicycle at a faster speed?
a)
You have more mass
b)
The wheels have angular momentum
c)
It's not easier to ride at a faster speed
d)
The bike has more momentum
19.

A rod of length L rotates about a fixed axis that is located at the end of the rod. Which of the following is equal at all points on the rod?

a)

θ, Fc

b)

θ, ω, α

c)

ω, νt

d)

Fc, ac

20.

A horizontal force of 6.5N is exerted tangentially on a Frisbee of mass 0.032 kg and r=0.143m. Assuming the Frisbee, a uniform disk, starts at rest and where the force is exerted for 0.08 sec, determine the angular velocity of rotation about the axis when it's released. (AP extension)

a)

177 rad/sec

b)

227 rad/sec

c)

277 rad/sec

d)

327 rad/sec

21.
A cave dweller rotates a pebble in a sling with a radius of 0.30 m counterclockwise through an arc length of 0.96 m. What is the angular displacement of the pebble?
a)
1.6 rad
b)
-1.6 rad
c)
3.2 rad
d)
-3.2 rad
22.

A bucket on the circumference of a water wheel travels an arc length of 18 m. If the radius of the wheel is 4.1 m, what is the angular displacement of the bucket? (AP Extension)

a)

1.0 rad

b)

4.4 rad

c)

3.7 rad

d)

2.3 rad

23.

A 80.0 kg passenger i s seated 12 m from the center of the loop of a roller coaster. What centripetal force does the passenger experience when the roller coaster reaches an angular speed of 3.14 rad/s? (AP Extension)

a)

1700 N

b)

6900 N

c)

7200 N

d)

9500 N

24.
When you carry a heavy load with one arm, why do you tend to hold your free arm away from your body?
a)
To change the mass of your body
b)
To be ready to grab something in case you fall
c)
To look good
d)
To change the center of gravity of your body and the load
25.
An object will fall over if its center of gravity is 
a)
outside the object.
b)
too low.
c)
not over its area of support
d)
too high.
26.
Does a bridge anchored resting on two pillars have any torque?
a)
No, it isn't moving
b)
Yes, but it is at equilibrium
c)
Yes, but it will soon break because of the torque
d)
No, Bridges can't have torque
27.
The center of mass is:
a)
the exact middle
b)
the heaviest part
c)
the point at which you can balance with one finger
d)
the idea that mass is concentrated throughout
28.
Stars originate as large bodies of slowly rotating gas.  Because of gravity, these clumps of gas slowly decrease in size.  What happens to the angular speed of the start as it shrinks?
a)
It rotates faster.
b)
It rotates slower.
c)
It starts to accelerate in the forward direction.
d)
The rotation rate stays the same.
29.
As global warming occurs over the next century, the polar ice caps will start to melt ant the water will be distributed closer to the equator.  How will this change the Earth's moment of inertia?
a)
It would increase.
b)
It would decrease.
c)
It would stay the same.
30.

What would happen to the length of one day if Earth's moment of inertia were to increase? (AP Extension)

a)

The day would be longer.

b)

The day would be shorter.

c)

The day would stay the same.

31.
When a car goes around a circular curve on a horizontal road at constant speed, what force causes it to follow the circular path?
a)
the normal force from the road
b)
gravity
c)
the friction force from the road
d)
No force causes the car to do this because the car is traveling at constant speed and therefore has no acceleration.
32.
Jack and Rose are holding hands and spinning in a circle as fast as they can. If rose lets go on accident, what can you say about Jack's motion.
a)
it will be in a straight line opposite of Rose
b)
it will be in a straight line in the direction of the instantaneous velocity
c)
it will be in a curved path in the direction that he was originally going
d)
Rose said she would never let go... she lied
33.
A car travels counterclockwise with constant speed around the track shown to the right. Which of the vectors depicts the direction of the net force acting on the car at the point shown.
a)
A
b)
B
c)
C
d)
D
34.

Moment of Inertia of a body about an axis of rotation depends

a)

A. Mass of the body

b)

B. Choice of axis

c)

C. Distribution of mass about the C. axis of rotation

d)

D. All of the answers are true.

35.
For a rotating rigid body, which of the following statements is NOT correct?
a)
All points along a rotating rigid body move with constant speed
b)
Points along a rotating body have velocities that continuously change directions
c)
Points along a rotating body move through the same angle in equal time intervals
d)
All of the answers are correct
36.
A radian is all of the following EXCEPT
a)
A dimensionless quantity
b)
The ratio of arc length over radius
c)
The same as degrees
d)
The unit for rotational position
37.
A fixed point, around which something turns, perpendicular to the rotation.
a)
axis of rotation
b)
radius
c)
diameter
d)
radian
38.
One radian is approximately _______degrees
a)
98.6
b)
212
c)
32
d)
57.3
39.
One degree is approximately____________ radians.
a)
0.0174532
b)
57.3
c)
98.6
d)
3.14
40.
A quantity that measures the ability of a force to rotate an object  around some axis
a)
linear speed
b)
angular speed
c)
torque
d)
centrifugal speed
41.
Which wrench would make it easier to remove a stubborn bolt? 
a)
5 inch long
b)
6 inch long
c)
7 inch long
d)
8 inch long
42.

Complete the following statement: When a net torque is applied to a rigid object, it always produces a

a)

constant acceleration

b)

rotational equilibrium

c)

constant angular velocity

d)

constant angular momentum

e)

change in angular velocity

43.

A wrench is used to tighten a nut as shown in the figure. A 12-N force is applied 7.0 cm from the axis of rotation. What is the magnitude of the torque due to the applied force?

a)

0.58 Nm

b)

0.84 Nm

c)

1.71 Nm

d)

14 Nm

e)

58 Nm

44.

A meter stick is pivoted at the 0.50-m line. A 3.0-kg object is hung from the 0.15-m line. Where should a 5.0-kg object be hung to achieve equilibrium (the meter stick oriented horizontal and motionless)?

a)

0.06-m line

b)

0.24-m line

c)

0.56-m line

d)

0.71-m line

e)

A 5.0-kg object cannot be placed anywhere on the meter stick to result in equilibrium in this system.

45.

Three objects are positioned along the x axis as follows: 4.4 kg at x = + 1.1 m, 3.7 kg at x = – 0.80 m, and 2.9 kg at x = –1.6 m. The acceleration due to gravity is the same everywhere. What is the distance from the location of the center of gravity to the location of the center of mass for this system?

a)

0 m

b)

–0.52 m

c)

–0.26 m

d)

+0.26 m

e)

+0.52 m

46.

A certain merry-go-round is accelerated uniformly from rest and attains an angular speed of 1.2 rad/s in the first 18 seconds. If the net applied torque is 1200 Nm, what is the moment of inertia of the merry-go-round? (AP Extension)

a)

1400 kgm2

b)

18,000 kgm2

c)

9000 kgm2

d)

500 kgm2

e)

This cannot be determined since the radius is not specified.

47.

Which one of the following statements concerning the moment of inertia I is false? (AP Extension)

a)

may be expressed in units of kgm2.

b)

depends on the angular acceleration of the object as it rotates.

c)

depends on the location of the rotation axis relative to the particles that make up the object.

d)

depends on the orientation of the rotation axis relative to the particles that make up the object.

48.

A rigid body rotates about a fixed axis with a constant angular acceleration. Which one of the following statements is true concerning the tangential acceleration of any point on the body? (AP Extension)

a)

The tangential acceleration is zero m/s2

b)

The tangential acceleration depends on the angular velocity.

c)

The tangential acceleration is equal to the centripetal acceleration.

d)

The tangential acceleration is constant in both magnitude and direction.

e)

The tangential acceleration depends on the change in the angular velocity.

49.

Two motorcycles are riding around a circular track at the same angular velocity. One motorcycle is at a radius of 15 m; and the second is at a radius of 18 m. What is the ratio of their linear speeds, v2/v1 ? (AP Extension)

a)

1.0

b)

0.83

c)

1.4

d)

0.71

e)

1.2

50.
A uniform solid cylinder with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 33.4 rpm. What is its kinetic energy?
a)
0.092 J
b)
17 J
c)
1.1 J
d)
0.18 J
51.
If a wheel of moment of inertia 24 kg•m2 moves at a velocity of 6 m/s and has an angular momentum of 36 kg•m2/s, what is its radius?
a)
2 m
b)
3 m
c)
4 m
d)
6 m
52.
According to the Law of Conservation of Angular Momentum, if I (momentum of inertia) increases, what will happen to ω?
a)
Decrease
b)
Stay the same
c)
Increase
53.
A spinning wheel will maintain its state of angular momentum unless acted on by an external torque.
a)
True
b)
False

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