Question 1

Express 100rpm (revolutions per minute) in radians per second.

Accepted Answer

10.47 rad/s

Answer

14.47 rad/s

Answer

8.47 rad/s

Answer

12.47 rad/s

Question 2

A rotating disc completes one rotation every 10 seconds. Express the angular velocity in rpm.

Accepted Answer

6rpm

Answer

7rpm

Answer

5rpm

Answer

4rpm

Question 3

Find the speed in $ms^{-1}$ of a car truning a bend of radius 4m with and angular speed of 2 rad/s.

Accepted Answer

$8ms^{-1}$

Answer

$6ms^{-1}$

Answer

$7ms^{-1}$

Answer

$9ms^{-1}$

Question 4

A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow.

If the velocity of the ball in the pitcher's hand is $25ms^{-1}$ and the ball is 0.3 m from the elbowjoint, what is the angular velocity of the forearm?

Accepted Answer

83.3 rad/s

Answer

93.3 rad/s

Answer

63.3 rad/s

Answer

73.3 rad/s

Question 5

A gyroscope slows from an initial rate of 15 rad/s at a rate of 0.5 rad/$s^{2}$

How long does it take to come to rest

Accepted Answer

30s

Answer

40s

Answer

20s

Answer

10s

Question 6

With the aid of a string, a gyroscope is accelerated from rest to 28 rad/s in 0.4s .

What is its angular acceleration in rad/$s^{2}$?

Accepted Answer

70 rad/$s^{2}$

Answer

60 rad/$s^{2}$

Answer

90 rad/$s^{2}$

Answer

80 rad/$s^{2}$

Question 7

Suppose a piece of dust finds itself on a CD.

If the spin rate of the CD is 400 rpm, and the piece of dust is 3 cm from the center, what is the total distance travelled by the dust in 2 minutes?

Accepted Answer

150.8m

Answer

145.8m

Answer

155.8m

Answer

160.8m

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