Question

A 13.7 N force is applied to a cord wrapped around a disk of radius 0.43 m. The disk accelerates uniformly from rest to an angular speed of 30.3 rad/s in 3.43 s. Determine the angular acceleration of the disk. Hint: the average acceleration is the change in angular speed over time.

Answer 1

8.83 rad/s²

Step-by-step explanation:

w₀ = initial angular speed of the disk = 0 rad/s

w = final angular speed of the disk = 30.3 rad/s

t = time period of rotation of the disk = 3.43 sec

`\alpha` = Angular acceleration of the disk

Angular acceleration of the disk is given as

`\alpha = (w-w_(o))/(t)`

inserting the values

`\alpha` = (30.3 - 0)/3.43

`\alpha` = 8.83 rad/s²