Question

3. How many miles per hour is a car traveling if the wheels have a diameter of 2 feet and are

turning 500 times a minute?​

Answer 1

The car is travelling at
`(125\pi )/(11)`, or about 35.7 mph.

Step-by-step explanation:

First, we need to know the circumference. The equation to find it is
`c = 2\pi r` or
`c = \pi d`. We know the diamtere is 2 feet, so
`c = 2\pi`.

The wheels turning 500 times a minute means that the car is traveling
`500*2\pi =1000\pi` feet a minute.

There are 60 minutes in an hour and there are 5280 feet in a mile, so we need to multiply the answer by 60 and divide it by 5280:

`(1000\pi feet)/(minute)*(60 minutes)/(1 hour)*(1 mile)/(5280 feet) = (125\pi)/(11)`

The car is travelling at
`(125\pi )/(11)`, or about 35.7 mph.