wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Rotational Kinematics

Total questions: 40

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Which has greater angular 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 - they both have the same angular speed

2.
A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?
a)
0.013 s
b)
0.002 s
c)
76.9 s
d)
6.28 s
3.

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

a)

6.67 rad/s

b)

2500 rad/s

c)

41.9 rad/s

d)

20.9 rad/s

4.

Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug B is at a radius of 4 cm, while bug A is at a radius of 8 cm. Which of the following is true?

a)

Bug A has a greater rotational speed.

b)

Bug B has a greater rotational speed.

c)

Bug B has a greater speed.

d)

Bug A has a greater speed.

5.

An object moves in a circle at a constant speed. Which of the following is NOT true f the object?

a)

its centripetal acceleration points toward the center of the circle

b)

its tangential speed is constant

c)

its velocity is constant

d)

a centripetal force acts on the object

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)

1.8 s

b)

2.0 s

c)

16 s

d)

18 s

7.

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

8.

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

a)

125 rad

b)

25 rad

c)

2 rad

d)

0.5 rad

9.

As a young boy swings a yo-yo parallel to the ground and above his head, the yo-yo has a centripetal acceleration of 250 m/s^2. If the yo-yo’s string is 0.50 m long,what is the yo-yo’s tangential speed?

a)

11 m/s

b)

15 m/s

c)

112 m/s

d)

22 m/s

10.

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

11.

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

12.

Torque is the product of a force exerted on an object times the length of the lever arm.

a)

True

b)

False

13.

In order for a seesaw to be in rotational equilibrium, the sum of the torques acting on it have be balanced.

a)

True

b)

False

14.

A bug on a turning phonograph record will make more turns per minute if it is located toward the center of the record.

a)

True

b)

False

15.

The centripetal force exerted on stunt motorcyclist Biker Bob while riding on the inner vertical surface of a circular track is

a)

Friction

b)

his weight

c)

the normal force

d)

none of the above

16.

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)

1 rad/s

d)

6 rad/s

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.

Which of the following is NOT a unit of rotational speed?

a)

Meters per second

b)

Revolutions per minute

c)

Revolutions per second

d)

Rotations per second

19.

Which will produce more torque to loosen the lug nut?

a)

A

b)

B

c)

They are the same

20.

A wrench is used to tighten a nut. A 15N perpendicular force is applied 5m away from the axis of rotation as it turns. What is the torque applied to the wrench?

a)

75 Nm

b)

1.5 Nm

c)

750 Nm

d)

150 Nm

21.

A solid sphere, solid cylinder, and a hollow hoop 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)

hoop

c)

sphere

d)

They all reach the bottom at the same time.

22.
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.
23.

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

24.
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
25.

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

a)

0.05 rad/s

b)

0.31 rad/s

c)

0.5 rad/s

d)

31 rad/s

26.

Which of the following is NOT a unit of rotational speed?

a)

Meters per second

b)

Revolutions per minute

c)

Revolutions per second

d)

Rotations per second

27.
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.
28.
Rotational inertia is the resistance an object has to changes in its rotational state.
a)
True
b)
False
29.

An automobile (2000 kg) travels around a circular track of radius 430 m at a speed of 22 m/s. What is the coefficient of friction needed to keep this car on the track?

a)

1.15

b)

0.115

c)

0.23

d)

0.023

30.

Moment of inertia is the resistance to change in...

a)

movement

b)

rotation

c)

none of these

31.

A model airplane is guided in a horizontal circular path by a cord of length 16 m. If it has a constant speed of 18 m/s and a mass of 200 g, what is the tension in the cord?

a)

4.5 N

b)

9.1 N

c)

4.05 N

d)

405N

32.

An automobile travels around a circular track of radius 0.120 km at a speed of 2.5 m/s. What is the centripetal acceleration?

a)

2600 m/s2

b)

0.26 m/s2

c)

0.0052 m/s2

d)

0.052 m/s2

33.

A Lincoln Continental and a VW Beatle are making a turn. The Lincoln is four times more massive than the Beatle. If they make the turn at the same speed, then how do the centripetal forces acting on the two cars compare?

a)

Lincoln is four times bigger

b)

Lincoln is two times smaller

c)

Lincoln is sixteen times bigger

d)

Lincoln is four times smaller

34.

The Earth completes one of these every 365.25 days

a)

rotation

b)

revolution

35.

An industrial flywheel has a greater rotational inertia when most of its mass is

a)

nearer the axis

b)

uniformly spread out as in a disk

c)

nearer the rim

36.

A flywheel's diameter is twice that of another of the same shape and mass. Roational inertia of the larger flywheel is

a)

two times greater

b)

four times greater

c)

the same as the other

d)

half that of the other

37.

A ring, a disk, and a solid sphere begin rolling down a hill together. Which reaches the bottom first?

a)

disk

b)

ring

c)

sphere

d)

all reach the bottom at the same time

38.

A torque acting on an object tends to produce

a)

a center of gravity

b)

rotation

c)

linear motion

d)

equilibrium

e)

velocity

39.
What happens to her angular velocity when a figure skater brings in her arms?
a)
Increases her angular velocity
b)
Decreases her angular velocity
c)
Has no affect
40.

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)

0.92 J

b)

17 J

c)

1.1 J

d)

0.18 J