Question

At low speed, a fan blade is turning at 80 rad/s clockwise. The fan is turned up a notch to rotate at 125 rad/s clockwise. If the time to change speeds is 0.5 s, find the angular acceleration of the fan blades

Answer 1

Initial angular velocity is ${\omega }_1=-80rad/s$ and final angular velocity is ${\omega }_2=-125rad/s$
Angular acceleration $\alpha =\frac{{\omega }_2-{\omega }_1}{t}=\frac{-125-(-80)}{0.5}=\frac{-45}{0.5}=-90rads/se{c}^2$