MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer: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 inchesOr, Diameter = 100 × 1.57 miles = 157 milesThe number of revolution per minutes = 500 RPMor, The number of revolution per hours = 500 × 60 = 30,000 RPHNow, Circumference of wheel = [tex]\pi[/tex]×diameterOr, C = 3.14 × 157 = 492.98 milesSo, Distance cover by wheel = C × RPH × Time in houror, D = 492.98 × 30,000 × Time in hourAnd Velocity = [tex]\dfrac{\textrm Distance in miles }{\textrm Time in hour}[/tex]or, V = [tex]\dfrac{\textrm 492.98 × 30,000 × Time in hour }{\textrm Time in hour}[/tex]or, V = 14789400 miles per hour Hence The linear velocity in miles per our is 14789400 mph . Answer