## 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)

Question

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.

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Mathematics
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2021-07-21T13:21:44+00:00
2021-07-21T13:21:44+00:00 1 Answers
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## Answers ( )

Answer: 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