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Rotational Kinematics Problems

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

Starting from rest, an engine turbine rotates until it reaches an angular velocity of 1,200 rad/s. If the angular acceleration of the engine is 25 rad/s2, how long does it take the engine turbine to reach this angular velocity?

a)

48 s

b)

0.021 s

c)

30,000 s

d)

57,600 s

2.

A wheel completes 100 revolutions around a central axis point. If the wheel started at rest and it takes 12 s to complete this distance, what is the angular acceleration of the wheel?

a)

8.73 rad/s2

b)

104.72 rad/s2

c)

1.39 rad/s2

d)

16.67 rad/s2

3.

A top completes 200 revolutions around. How would you convert that radians?

a)

Divide by 2π

b)

Multiply by 2π

c)

Divide by π

d)

Multiply by π

4.
A merry go round starts from rest, and reaches an angular speed of 2 radians/second in 3 seconds. What is its angular acceleration, and through what angle does it sweep in the 3 second time interval? 
a)

α = 3/2 rad/s2

b)

α = 2/3 rad/s2

c)

α = 2/3 rad/s2

d)

α = 6 rad/s2

5.

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

6.

How many radians make up one revolution of 360 degrees?

a)

π/2

b)

π

c)

2π

d)

3π/2

7.
A flywheel starts from rest, and has an angular acceleration of 4 rad/s2. What will be its angular speed when it has made one revolution? 
a)
5.01 rad/s
b)
50.27 rad/s
c)
2.83 rad/s
d)
7.09 rad/s
8.
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
9.
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
10.
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