A cyclist is riding a bicycle whose wheels have a diameter of 1.6 feet. Suppose the wheels turn at a rate of 280 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute.

a. 1759.52 radians/minutes

b. 1407.62 feet/minutes

Step-by-step explanation:

Diameter = 1.6 feet

Radius = Diameter/2= 1.6/2 = 0.8 feet

N = 280 revolution

a. Angular speed(w) = 2πN

= 2π × 280

= 560π

= 560 × 3.142

= 1759.52 radians/minutes

Speed of cyclist = wr

= 1759.52 × 0.8

= 1407.62 feet/minutes

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step-by-step explanation: