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The top point on a 64-cm-diamotor rolling bicycle wheel has an instantaneous speed of 14 m/s.

How many revolutions will the wheel make in 14 s?
Express your answer in revolutions.

Sagot :

The number of revolutions the wheel will make in 14 s is 97.5 revolutions.

Angular speed of the wheel

The angular speed of the wheel is the rate of change of angular displacement with time.

ω = v/r

where

  • r is radius of the wheel = 32 cm

ω = 14/0.32

ω = 43.75 rad/s

Number of revolutions in 14 seconds

Ф = ωt

Ф = 43.75 rad/s  x 14s

Ф = 612.5 rad

N = (612.5 rad) / (2π)

N = 97.5 revolutions

Learn more about angular speed here: https://brainly.com/question/6860269