Question

If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour. use pi= 3.14

Answer 1

The linear velocity will be the tangent velocity of the points in the extreme of the wheel.

Tangent velocity = angular velocity * radius

angular velocity = 2π * frequency

=> angular velocity 2*3.14*600 rad/min = 3,768 rad/min

tangent velocity = 70 in * 3768 / min = 263,760 in/min

Convert to m/s =>

263,760 in/min * 2.54 cm / in * 1m / 100cm * 1min/60s = 111.7 m/s

Answer: velocity = 111.7 m/s