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

Question

3 years ago

9

minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute.

1 answer:

yan [13] · Answer 1 · 2022-03-06T04:32:26+03:00

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