Question

If a wheel with a radius of 50 inches spins at a rate of 500 revolutions per minute, find the approximate linear velocity in miles per hour. use 3.14 and round to the nearest 10th

Answer 1

The linear velocity in miles per our is 14789400 mph .

Explanation:

Given as :

The radius of wheel = 50 inches

So, the diameter of wheel = 2 × radius = 2×50 = 100 inches

Or, Diameter = 100 × 1.57 miles = 157 miles

The number of revolution per minutes = 500 RPM

or, The number of revolution per hours = 500 × 60 = 30,000 RPH

Now, Circumference of wheel =
`\pi`×diameter

Or, C = 3.14 × 157 = 492.98 miles

So, Distance cover by wheel = C × RPH × Time in hour

or, D = 492.98 × 30,000 × Time in hour

And Velocity =
`(\textrm Distance in miles )/(\textrm Time in hour)`

or, V =
`(\textrm  492.98 × 30,000 × Time in hour )/(\textrm Time in hour)`

or, V = 14789400 miles per hour

Hence The linear velocity in miles per our is 14789400 mph . Answer