An automobile tire has a diameter of 36 inches. How many revolution will the wheel make as the automobile travel 1 mile
1 mile * 63360in/mi * 1rev/36πin = 63360/36π rev
automobile tire has a diameter of 36. how many revolution will the wheel make as the automobile travels 5280 ft?
To find out how many revolutions the wheel will make as the automobile travels 1 mile, we need to determine the circumference of the wheel and then calculate the number of revolutions.
1. First, calculate the circumference of the wheel using the diameter. The formula for circumference is C = π * d, where C is the circumference and d is the diameter. Given a diameter of 36 inches, the circumference would be C = π * 36.
2. Next, convert the circumference to miles since we're interested in 1 mile of travel. There are 5,280 feet in a mile, so we need to divide the circumference (in inches) by the number of inches in a mile: C / (12 * 5280).
3. Now we have the number of miles in one revolution of the wheel. To find the number of revolutions in 1 mile, we divide 1 mile by the distance travelled in one revolution: 1 / (C / (12 * 5280)).
4. Simplifying the expression, we get: 1 / (C / (12 * 5280)) = (12 * 5280) / C.
5. Finally, substitute the calculated circumference into the formula to get the number of revolutions. Use an appropriate approximation for π (3.14 is commonly used): Revolutions = (12 * 5280) / (π * 36).
By performing the calculations, you will find the number of revolutions the wheel will make as the automobile travels 1 mile.