Question

A wheel starts from rest is uniformly accelerated at 2 rad/s^2 for 20s. It is allowed to rotate uniformly for the next 10s and is finally brought to rest in next 20s. Find the total angle rotated by the wheel in radian.

Answer 1

ω = 0 + 2(20) = 40 (according to rotational equation ω = ω0 + αt)

and θ = 0 + 1/2(2)(20)2 = 400 radian

in middle uniform part angle rotated = 40*10 = 400 radian

and since acceleration in first part and retardation in last part are equal so angle rotated in last part = 400 radian

total = 1200 radian

Answer 2

Answer:

answer is 1200 radian

Explanation:

hope it helps.