1. The angular speed of a propeller on a boat increases with constant accelerati
ID: 1366827 • Letter: 1
Question
1. The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/s to 28 rad/s in 2.0 revolutions. What is the acceleration of the propeller?
2. Two children ride on the merry-go-round. Child 1 is 2.0 m from the axis of rotation, and child 2 is 1.5 m from the axis. If the merry-go-round completes one revolution every 4.2 s , find the angular speed and the linear speed of each child.
3. A compact disk, which has a diameter of 12.0 cm, speeds up uniformly from zero to 4.10 rev/s in 3.15 s . What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 2.00 rev/s? What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 3.00 rev/s?
Explanation / Answer
Use the kinematic equation, we get
vf2 = vi2 + 2ad
where d is the angular distance. d = 2.0 rev * (2 rad/rev) = 12.566 radians
Hence,
28*28 = 14 * 14 + 2 a * 12.566
So, the angular acceleration: a = 23.4 rad/s2
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