If you are traveling 100 miles and the car you are driving has tires with a radius of 14in. How many revolutions of each tire occurred in your trip?
If you are traveling 100 miles and the car you are driving has tires with a radius of 14in. How many revolutions of each tire occurred in your trip?
100 miles = 5280 feet
1 foot = 12 inches
There are 12x5280x100 = 6,336,000 inches in 100 miles
One revolution of a tire covers 14Pi = 43.98 inches, say 44 inches..
Therefore, the number of revolutions that each tire makes over the 100 mile trip is 6,336,000 divided by 44 = 144,000.
Doesn't one revolution of a tire the same as its circumference? Isn't the circumference pi*d (not radius)?
That is correct, the revolution number or circumference needs to be doubled. This halves the number of revolutions
OUCH! So right you are. That one slipped right by me. I thought I had used the diameter.
If you are traveling 100 miles and the car you are driving has tires with a radius of 14in. How many revolutions of each tire occurred in your trip?
100 miles = 5280 feet
1 foot = 12 inches
There are 12x5280x100 = 6,336,000 inches in 100 miles
One revolution of a tire covers 2(14)Pi = 88 inches..
Therefore, the number of revolutions that each tire makes over the 100 mile trip is 6,336,000 divided by 44 = 72,000
Sorry for the mixup..
To determine the number of revolutions made by each tire during a trip, we need to calculate the total distance covered by the car and then convert it into the number of revolutions.
First, we need to find the circumference of each tire. The circumference of a circle can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius.
So, for each tire, we have a radius of 14 inches. Plugging this value into the formula, the circumference of each tire is:
C = 2π * 14 inches.
Next, we need to calculate the total distance traveled by the car. In this case, it's given that the car has traveled 100 miles.
Now, we need to convert the total distance traveled from miles to inches to match the units of the tire's circumference. Since there are 12 inches in a foot and 5280 feet in a mile, the total distance in inches is:
Total distance in inches = 100 miles * 5280 feet/mile * 12 inches/foot.
Finally, to find the number of revolutions, we divide the total distance traveled by the circumference of each tire. Since each tire will complete the same number of revolutions, the result will be the number of revolutions made by each tire.
Number of revolutions = Total distance in inches / Circumference of each tire.
By following these steps, you can find the number of revolutions made by each tire during the trip.