an automobile tire has a diameter of 36 inch.how many revolution will the wheel make an arc the automobile travels 1 mile (5280 A)?
One mile is 5280 feet, not 5280 Angstroms.
If N is the number of revolutions of the tire in one mile,
pi*D*N = 5280 feet
D = 3 feet
N = 5280/(3 pi) = 560.2 revolutions
To find the number of revolutions that a wheel makes when an automobile travels a certain distance, we need to know the circumference of the wheel.
The formula to calculate the circumference of a circle is: C = π * d, where C is the circumference and d is the diameter.
Given that the diameter of the tire is 36 inches, we can calculate the circumference as follows:
C = π * 36
C ≈ 113.1 inches
Now, we need to convert the distance of 1 mile (5280 feet) into inches, since the circumference is already in inches. There are 12 inches in 1 foot, so:
Distance in inches = 5280 * 12
Distance in inches = 63360 inches
Now, we can find the number of revolutions by dividing the distance traveled by the circumference of the wheel:
Number of revolutions = Distance in inches / Circumference
Number of revolutions = 63360 inches / 113.1 inches
Number of revolutions ≈ 560.07
Therefore, the wheel will make approximately 560.07 revolutions when the automobile travels 1 mile.