Question

A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the blades have a tangential acceleration of 20.0 m/s2 as the fan comes up to speed. What is the angular acceleration α of the blades?

Answer 1

α = 333 m/s^2

Step-by-step explanation:

Radius = 0.0600m

Tangential acceleration (a) = 20.0m/s^2

Angular acceleration (α) = ???

Angular acceleration describes the motion of the entire object. The tangential acceleration describes the motion of a single point on the object. Tangential acceleration is proportional to the radius and the angular acceleration.

a = rα

α = a/r

α = 20/0.06

α = 333.33 m/s^2

α = 333m/s^2