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Rotational Kinematics 1

Total questions: 9

Worksheet time: 29mins

Name
Class
Date
1.
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
2.
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,   θ=27/4 rad
b)
α = 2/3 rad/s2, θ=3 rad
c)
α = 2/3 rad/s2, θ=6 rad
d)
α = 6 rad/s2, θ=27 rad
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.
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
5.
a)
Clockwise and speeding up
b)
Counterclockwise and speeding up
c)
Clockwise and Slowing down
d)
Counterclockwise and slowing down
6.
a)
- 8 rad/s2
b)
+ 8 rad/s2
c)
-100 rad/s2
d)
-20 rad/s2
7.
a)
- 100 rad
b)
-100π rad
c)
-40π rad
d)
-200π radians
8.
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. 
9.
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