What is the frequency of a wave when it speeds up at 5 m/s for a distance of 25 m?
1 answer:
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Answer:
a) The angular acceleration is 1.875 radians per square second.
b) The time taken by the disk to reach the final angular speed is 8 seconds.
Explanation:
a) Let suppose that the disk accelerates uniformly, given that initial and final angular speed (,
), in radians per second, and change in angular position (
), in radians, are known. The angular acceleration (
), in radians per square second, are found by using this expression:
(1)
If we know that ,
and
, then the angular acceleration of the disk is:
The angular acceleration is 1.875 radians per square second.
b) The time taken by the disk to reach the final angular velocity is determined by the following kinematic formula:
(2)
Where is the time, in seconds.
If we know that ,
and
, then the time taken by the disk is:
The time taken by the disk to reach the final angular speed is 8 seconds.