A ceiling fan has \( 20 \) -inch blades (so the radius of the circular fan is \( 20 \) inches). Suppose the fan turns at a rate of \( 64 \) revolutions per minute.
(a) Find the angular speed of the fan in radians per minute.
(b) Find the linear speed of the tip of a blade in inches per minute.
Do not round any intermediate computations, and round your answer to the nearest whole number.
(a) Angular speed: \( \square \) radians per minute
(b) Linear speed: \( \square \) inches per minute