Suppose a car tire has a diameter of 26 inches. How many rotations will thee tire make if the car travels 1 mile? Round to the nearest tenth.
If you get answer please show work of how to get there. Thanks!
C = pi * d
C = 3.14 * 26
C = 81.64 inches
81.64 / 12 = 6.8 feet
5,280 / 6.8 = 776.47 = 776.5 revolutions
To find the number of rotations a tire makes when the car travels a certain distance, you need to know the circumference of the tire. The circumference is the distance traveled in one revolution or one complete rotation.
The formula to calculate the circumference of a circle is:
Circumference = π * Diameter
Given that the diameter of the car tire is 26 inches, we can find the circumference using the formula:
Circumference = π * 26
To find the number of rotations the tire makes when the car travels 1 mile, we need to convert the distance into the same unit as the circumference (in inches).
1 mile = 5280 feet
1 foot = 12 inches
So, 1 mile = 5280 * 12 = 63360 inches
Now, divide the total distance in inches by the circumference of the tire to find the number of rotations:
Number of rotations = Total distance / Circumference
Number of rotations = 63360 / (π * 26)
Number of rotations ≈ 767.75
Therefore, the car tire will make approximately 767.8 rotations when the car travels 1 mile. Rounded to the nearest tenth.
To find the number of rotations the tire will make if the car travels 1 mile, we need to find the circumference of the tire and then divide the distance traveled by the circumference of the tire.
Step 1: Find the circumference of the tire.
The formula to find the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the diameter is 26 inches, we can substitute this value into the formula:
C = π(26) = 81.68 inches (rounded to two decimal places)
Step 2: Convert the distance traveled to inches.
Since 1 mile is equal to 5280 feet and 1 foot is equal to 12 inches, we can convert 1 mile to inches:
1 mile = 5280 * 12 = 63,360 inches
Step 3: Divide the distance traveled by the circumference of the tire.
The number of rotations can be found by dividing the distance traveled by the circumference of the tire:
Number of rotations = Distance traveled / Circumference of the tire
Number of rotations = 63,360 inches / 81.68 inches ≈ 775.8 rotations
Therefore, the tire will make approximately 775.8 rotations if the car travels 1 mile.