If a flywheel is 3 feet in diameter and if a belt over the wheel is traveling at the rate of 3000 feet per minute, find the number of revolutions of the wheel per minute.
same kind of problem here
http://www.jiskha.com/display.cgi?id=1314932124
Just change the numbers
actually a bit different, ....
one rotation covers 3π feet
number of rotations = 3000/(3π) = 1000/π or appr 318.3 times per minute
check:
318.3 rmp times 3π = 3000 feet
To find the number of revolutions of the wheel per minute, we need to determine how many times the belt travels around the wheel in one minute.
First, let's find the circumference of the flywheel. The circumference of a circle can be calculated using the formula:
Circumference = π * diameter
Given that the diameter of the flywheel is 3 feet, we can calculate the circumference as follows:
Circumference = π * 3 feet
Let's assume the value of π as 3.14, although it is an irrational number.
Circumference = 3.14 * 3 feet
Circumference = 9.42 feet
Now, we know that the belt is traveling at a rate of 3000 feet per minute, which means it will travel a distance of 3000 feet around the wheel in one minute.
To determine the number of revolutions, we divide the total distance traveled by the circumference of the flywheel:
Number of revolutions = Total distance traveled / Circumference
Number of revolutions = 3000 feet / 9.42 feet
Number of revolutions ≈ 318.47
Therefore, the number of revolutions of the wheel per minute is approximately 318.47.