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

The linear velocity in miles per our is 14789400 mph .

Step-by-step 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 = ×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 =

or, V =

or, V = 14789400 miles per hour

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