Question

A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed
A) determine the angular velocity, w, in radians per second
B) how far does the the wheel in one minute

Answer 1

Answer:

• 8π radians/second
• 527.8 meters

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.