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Physics Rotation Lesson

Total questions: 66

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

2600 rev/min is equivalent to which of the following?

a)

2600 rad/s

b)

86.67 rad/s

c)

272.27 rad/s

d)

136.14 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)

0.20 rad/s/s

b)

4.81 rad/s/s

c)

3.12 rad/s/s

d)

1.63 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, about 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)

10,000

d)

10

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)

0.21 rad/s

6.

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is the time interval required for it to reach a 4.2 rad displacement after starting from rest

a)

12.96 s

b)

168 s

c)

336 s

d)

18.33 s

7.

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)

0.07 rad/s/s

b)

0.05 rad/s/s

c)

1.8 rad/s/s

d)

2.6 rad/s/s

8.

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)

0.28 rad/s

b)

0.33 rad/s

c)

0.46 rad/s

d)

0.78 rad/s

9.
Which has more rotational inertia? (consider all objects have equal radius)
a)
Hollow sphere
b)
solid sphere
c)

cylindrical shell

d)

solid cylinder

10.
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
11.

Suppose you are rotating in a chair with 2 equal masses held in each outstretched hand and you drop them. What happens to your angular velocity?

a)

Increase

b)

Decrease

c)

Stays the same

d)

Is lost

12.
A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?
a)
cylinder
b)
pipe
c)
sphere
d)
They all reach the bottom at the same time.
13.

Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?

a)

Solid disks.

b)

Hoops.

c)

Hollow cylinders.

d)

Diamond encrusted triangles.

14.
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
15.
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
16.

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)

10.41 rad/s²

b)

3.43 rad/s²

c)

5.20 rad/s²

d)

1.06 rad/s²

17.
If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?
a)
0.67 rad/s
b)
1.5 rad/s
c)
5 rad/s
d)
6 rad/s
18.
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.
19.
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
20.
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
21.

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

22.

The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/sec is 3000 joules. What is the moment of inertia of the propeller?

a)

0.25 kgm2

b)

0.22 kgm2

c)

0.18 kgm2

d)

0.15 kgm2

23.

A cave dweller rotates a pebble in a sling with a radius of 0.30 m clockwise 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
24.

A gear in a machine accelerates at 11.2 rad/s2 . If the wheel’s initial angular speed is 5.40 rad/s, what is the wheel’s angular speed after exactly three full turns?

a)

21.25 rad/s

b)

96.36 rad/s

c)

451.39 rad/s

d)

185 rad/s

25.

A helicopter has rotor blades 3.0 m long that are rotating at an angular speed of 63 rad/s. What is the tangential speed of each blade tip ?

a)

21 m/s

b)

189 m/s

c)

63 m/s

d)

3 m/s

26.

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?

a)

118 N

b)

6900 N

c)

3000 N

d)

9500 N

27.
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
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.

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

a)

The day would be longer.

b)

The day would be shorter.

c)

The day would stay the same.

30.

Jack and Rose are holding hands and spinning in a circle as fast as they can. If Rose lets go by 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

31.

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

a)

Mass of the body

b)

Choice of axis

c)

Distribution of mass about the C. axis of rotation

d)

All of the answers are true.

32.
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
33.
A fixed point, around which something turns, perpendicular to the rotation.
a)
axis of rotation
b)
radius
c)
diameter
d)
radian
34.
One radian is approximately _______degrees
a)
98.6
b)
212
c)
32
d)
57.3
35.
One degree is approximately____________ radians.
a)
0.0174532
b)
57.3
c)
98.6
d)
3.14
36.
The change in arc length is considered ________ if the rotation is in the counter-clockwise direction, and _________ if the rotation is in the clockwise direction
a)
positive, negative
b)
negative, positive
c)
negative, negative
d)
positive, positive
37.
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
38.
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
39.

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

40.

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)

1.71 Nm

b)

0.84 Nm

c)

1.71 Nm

d)

0.58 Nm

e)

84 Nm

41.

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)

0.09-m line

b)

0.21-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.

42.

Which one of the following statements concerning the moment of inertia I is false?

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.

e)

of the particles that make up an object, the particle with the smallest mass may contribute the greatest amount to I.

43.

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?

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.

44.

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 ?

a)

1.0

b)

0.83

c)

1.4

d)

0.71

e)

1.2

45.

What force does not cause any torque?

a)

Force perpendicular to the fulcrum.

b)

Force horizontal to the planck.

c)

Force slightly off center of the fulcrum

d)

Forces at a 45 degree angle to the fulcrum, and not on the fulcrum

46.
A seesaw with mass x is perfectly balanced with a fulcrum in the center. If mass x changes uniformly does the net torque change?
a)
Yes, because the Gravitational force increases with more mass, and torque is related to Force
b)
No, because the net torque is still zero despite increases in one of the individual components.
c)
No, because it is balanced that means net torque is zero, a uniform increase in weight keeps it balanced keeping net torque at zero
d)
Yes, any increase in weight will increase torque
47.
You apply force to a wrench to tighten a bolt. The wrench breaks in half. Select the best answer for what happens next. Assume the force applied remains constant.
a)
The torque is now half of what it was, because torque and distance are inversely proportional
b)
The torque is now half of what it was, because torque and distance are directly proportional
c)
The torque is now double of what it was, because torque and distance are inversely proportional
d)
The torque is now double of what it was, because torque and distance are directly proportional
48.

If the torque required to loosen a nut on the wheel of a car has a magnitude of 60.0 N• m, what minimum perpendicular force must be exerted by a mechanic at the end of a 45.0 cm wrench to loosen the nut?

a)

27 Nm

b)

133.3 N

c)

66.7 N

d)

1.33 Nm

49.
What is the direction of a centripetal force?
a)
In the same direction that the object is moving
b)
Inward and perpendicular to the motion of the object
c)
Upward and slightly forward
d)
Outward and perpendicular to the motion of the object
50.
If two identical objects travel at the same speed, which path requires less centripetal force?
a)
I (larger radius)
b)
II (smaller radius)
c)
They are the same
51.
A small but hard nut must be crushed.  Which position will require more squeezing force by a hand?
a)
Position A
b)
Position B
c)
It doesn't matter which position the nut is in.
52.

A solid metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figure shows forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?

a)
b)
c)
d)
53.

Jenny stands on the edge of a diving board. The diving board length is 3.0 meters from where it is fixed to the scaffold. Jenny's mass is 60 kg. Calculate the torque Jenny puts on the edge of the diving board.

a)

180 N∙m

b)

20 N∙m

c)

1766 N∙m

d)

589 N∙m

54.

An object is moving with uniform speed in a counterclockwise, horizontal circle. Which of the following images correctly depicts the force vector and velocity vector at a point in time.

a)
b)
c)
d)
55.

Four objects are held in position at the corners of a rectangle by light rods as shown. Find the moment of inertia of the system about the x-axis.

a)

99.0 kg·m2

b)

44.0 kg·m2

c)

143 kg·m2

d)

63 kg·m2

56.

Four objects are held in position at the corners of a rectangle by light rods as shown. Find the moment of inertia of the system about the y-axis.

a)

99.0 kg·m2

b)

44.0 kg·m2

c)

143 kg·m2

d)

63 kg·m2

57.

A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 5.0 kg-m2 . At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 1.0 rad/s.

Q; What is the angular acceleration of the cylinder between t = 0 s and t = 2 s?

a)

0.5 rad/s2

b)

1.0 rad/s2

c)

2.0 rad/s2

d)

4.0 rad/s2

58.

A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 5.0 kg-m2 . At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 1.0 rad/s.

Q; What is the angular momentum of the cylinder at t = 2 s?

a)

3.0 kgm2/s

b)

4.0 kgm2/s

c)

5.0 kgm2/s

d)

It cannot be determined without the radius

59.

A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 5.0 kg-m2 . At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 1.0 rad/s.

Q; What is the rotational kinetic energy of the cylinder at t = 2 s?

a)

2.0 J

b)

2.5 J

c)

5.0 J

d)

It cannot be determined without the radius

60.

A force of magnitude, F is applied to a doorknob and a second force of magnitude, 2F is applied to the same door at the middle of the door. Both forces are perpendicular to the door plane. Which of the following is the correct ratio between the torque of the first force and the torque of the second force?

a)

1:2

b)

1:1

c)

2:1

d)

4:1

61.

If sign of angular velocity and acceleration are opposite then angular velocity of object:

a)

speeding up

b)

slowing down

c)

will be same

d)

not enough information given

62.

If the object is rotating counter clockwise and the value of ω1 is bigger than ω2 , what would be the direction of angular acceleration?

a)

Up

b)

Down

c)

Left

d)

Right

63.

Select the best answer for the following statement:

If the net torque is zero, the object is not rotating.

a)

Always

b)

Sometimes

c)

Never

64.

In an earth-ball system, the ball is rolling down a hill. At the bottom of the hill what type(s) of energy does it have?

a)

potential of a spring

b)

potential due to gravity

c)

translational kinetic energy

d)

rotational Kinetic energy

65.

A top is spinning counterclockwise and moving toward the right with a linear velocity as shown in the drawing.  If the angular speed is decreasing as time passes, what is the direction of the angular velocity of the top??

a)

upward

b)

downward

c)

left

d)

right

66.

 A packaged roll of paper towels falls from a shelf in a grocery store and rolls due south without slipping.  As its linear speed slows, what are the directions of the paper towels’ angular velocity and angular acceleration

a)

east, west

b)

east, east

c)

west, west

d)

west, east

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