Question

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?

Answer 1

Answer: The wheel make 315 complete revolutions in one minute

Explanation:

correct on edge 2021

Answer 2

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

Firstly we will convert miles to inches

We know that 1 mile= 63360 inches

So 45 miles=
`45 *63360`

i.e. speed=2851200 inches/hr

Now since the revolutions are asked in one minute

So speed=
`(2851200)/(60)`

=47520 inches/min

Now In one revolution distance travelled by wheel=2πr or πd

=
`3.14* 48`

=150.72 inches

No of revolutions =Total distance travelled/Distance travelled in one revolution

=
`(47520)/(150.72)`

=315.28 revolutions