Rotational Motion Problems

Question

A rotor in a blender speeds up from rest to 105 rad/s in 0.793 s. Through what angle does the rotor turn in that time?

Unit = rad

remember: CCW is +, CW is -. 1 rev = 2*pi rad

Answer 1

assuming that the acceleration is constant then angular velocity is w = α·t, and the angle θ = (α·t^2)/2.

Then it follows θ = w*t/2 = 41.6 rad