Question

Your bike has a wheel diameter of 29 inches. You are traveling and your wheels are rotating at 148 revolutions per minute. What is the bicycle speed in miles per hour. (Round your answer to the nearest 1000th)

Answer 1

12.77 miles per hour

Explanation:

Step 1

Convert the diameter from inches to feet

Your bike has a wheel diameter of 29 inches.

1 inch = 0.0833 feet

29 inches =

29 × 0.0833 feet

= 2.41667 feet

Step 2

Circumference of the tire = πD

= π × 2.41667 feet

= 7.5921927182 feet

Step 3

The number feet traveled per hour is

148 revolutions per minute × 7.5921927182 feet

= 1123.6445223 feet per minute

60 minutes = 1 hour

Hence,

1123.6445223 × 60 =

67418.671337 feet per hour.

Converting from Feet per hour to Miles per hours

1 mile = 5280 feet

= 67418.671337 feet per hour/5280 feet

= 12.768687753 miles per hour

Approximately = 12.769 miles per hour