Starting from rest, a disk rotates about its central axis with constant angular acceleration. in 5.00 s, it rotates 32.8 rad. during that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) what is the instantaneous angular velocity of the disk at the end of the 5.00 s? (d) with the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 5.00 s?

Part a)

Part b)

Part c)

Part d)

Explanation:

As we know that disc rotates by 32.5 rad in 5 s from rest position

Since we know that angular acceleration of the disc is constant here so we can use the condition of kinematics

Part a)

Part b)

average angular speed is know as the ratio of total angular displacement and total time

so we can say

Part c)

instantaneous angular speed is given as

Part d)

Total angle turn by the disc in total t = 10 s

now the angle turned in next 5 s will be

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.