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.
1 answer:
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
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