The blade of a lawn mower is rotating at an angular speed of 128 rad/s. The tangential speed of the outer edge of the blade is 32 m/s. What is the radius of the blade?

0.25m

Explanation:

Using the expression that relates the angular velocity (w) and the linear velocity (v).

v = wr where;

w is the angular speed = 128rad/s

v is the linear speed = 32m/s

r is the radius

r = v/w

r = 32/128

r = 0.25m

The radius of the blade is 0.25m