Question

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe

Answer 1

1 revolution of a circle = circumference of that circle.

1 revolution of a circle with the diameter of 28 inches = πd=28ππd=28π inches. Hence, x revolutions per second = 28πx28πx inches per second = 60∗28πx60∗28πx inches per minute.

Given that 60∗28πx=35πn60∗28πx=35πn --> n=60∗28πx35π=48xn=60∗28πx35π=48x.