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Angular Kinematic Equations Practice Problems

Total questions: 24

Worksheet time: 24mins

Name
Class
Date
1.
A ball attached to a string and rotates in a circle. If it takes 1.00 s to complete one revolution, what is the angular velocity of the ball?
a)
3.14 rad/s
b)
6.28 rad/s
c)
9.42 rad/s
d)
12.6 rad/s
2.

Units for angular velocity

a)

radians

b)

rad/s

c)

rad/s2

d)

m/s

3.

A rod rotates about a pivot at its center with a known initial angular velocity and eventually comes to rest. What quantities could you measure to determine the angular acceleration of the rod?

a)

The time it takes the rod to stop turning

b)

The number of rotations the rod completes while coming to rest

c)

the friction between the rod and the axle it is mounted on

d)

the weight of the rod

4.
A record on a turntable is spinning and is coming to rest. If the angular velocity is 20.0 rad/s and the record slows at a rate of - 5 rad/s/s, how long does it take the record to come to rest? 
a)
2 s
b)
4 s
c)
12 s 
d)
8 s 
5.
Which of the following is the unit for angular displacement?
a)
meters
b)
seconds
c)
radians
d)
radians per second
6.
Units for angular acceleration
a)
radians
b)
rad/s/s
c)
m/s/s
d)
m/s
7.
When a rigid object rotates about a fixed axis, what is true about all the points in the object? 
a)
They all have the same tangential acceleration.
b)
They all have the same angular speed.
c)
They all have the same tangential speed.
d)
They all have the same radial acceleration.
8.

This symbol represents

a)

torque

b)

tacos

c)

tangential velocity

d)

tension

9.

This symbol represents

a)

angular displacement

b)

angular velocity

c)

angular acceleration

d)

angular momentum

10.

This symbol represents

a)

angular displacement

b)

angular velocity

c)

angular acceleration

d)

angular momentum

11.

This symbol represents

a)

angular displacement

b)

angular velocity

c)

angular acceleration

d)

angular momentum

12.

A rod rotates about a pivot at its center with a known initial angular velocity and eventually comes to rest. If you measure the number of rotations the rod completes before coming to rest, what equation could you use to determine the angular acceleration of the rod?

a)

1

b)

2

c)

3

d)

4

13.

A rod rotates about a pivot at its center with a known initial angular velocity and eventually comes to rest. If you measure the time it takes the rod to come to rest, what equation could you use to determine the angular acceleration of the rod?

a)

1

b)

2

c)

3

d)

4

14.

What is the angular acceleration of this object from 0-5 seconds?

a)

3 rad/s/s

b)

6 rad/s/s

c)

0.5 rad/s/s

d)

1.5 rad/s/s

15.

Which way is the object rotating from 0-3 seconds?

a)

clockwise

b)

counterclockwise

16.

Which way is the object rotating from 3-5 seconds?

a)

clockwise

b)

counterclockwise

17.

What happens at t= 3s ?

a)

the object changes its direction of rotation

b)

the object is speeding up

c)

the object is slowing down

18.

What is the magnitude of the angular displacement of the wheel from 0-3 seconds?

a)

9 rad

b)

3 rad

c)

13.5 rad

d)

27 rad

19.

If the wheel started with half of its initial angular velocity, but had the same angular acceleration, how would the graph change?

a)

the slope would change from 3 rad/s/s to 1.5 rad/s/s

b)

the area under the curve for the first 3 s would change from 13.5 rad to 27 rad

c)

the y-intercept of the graph would change from -9 rad/s to -4.5 rad/s

d)

the slope would change from 3 rad/s/s to 6 rad/s/s

20.
a)
- 8 rad/s2
b)
+ 8 rad/s2
c)
-100 rad/s2
d)
-20 rad/s2
21.
a)
- 100 rad
b)
-100π rad
c)
-40π rad
d)
-200π radians
22.
Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B 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 A has a greater speed. 
d)
Bug B has a greater speed. 
23.
Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. What is the velocity of bug B?  
a)
4 cm/s
b)
32 cm/s
c)
2 cm/s
d)
1 cm/s
24.
a)
Clockwise and speeding up
b)
Counterclockwise and speeding up
c)
Clockwise and Slowing down
d)
Counterclockwise and slowing down