To find a truck's speed in mph with 36-inch diameter wheels rotating at 630 rpm, calculate the wheel's circumference and multiply by rpm to find distance per minute, then convert to miles per hour.
A truck has 36 inch diameter wheels rotating at 630 rpm. To find the truck speed in miles per hour (mph), we first need to figure out the circumference of a wheel since the circumference represents the distance the wheel covers in one revolution. The diameter of the wheels in feet is 3 feet (since 36 inches equals 3 feet). The circumference is therefore π times the diameter, which equals to π * 3 feet.
Once we have the circumference, we can then calculate the distance traveled in one minute by multiplying the circumference by the number of revolutions per minute (rpm):
- Circumference (in feet) = π * 3
- Distance per minute (in feet) = Circumference * 630
Since there are 5,280 feet in one mile and 60 minutes in an hour, to find the speed in mph, the following calculation is performed:
- Speed (in mph) = Distance per minute * 60 / 5,280
By plugging in the numbers, we can determine the truck's speed in mph.