Question

In a simple Atwood machine, the masses are released from rest and accelerate at a rate a. If the radius of the pulley is r, through what angle does the pulley rotate in time t after the masses are released?
a. ra/t
b. 2ra/t^2
c. a/rt
d. 2a/rt^2

Answer 1

by θ = ω(initial) x t + 1/2αt^2
=>θ = 0 + 1/2 x a x t^2
=>θ = (1/2)at^2 radian