A bare wheel rolls 24pie inches in 3 revolutions. When rubber padding is placed on the rim of the wheel, it covers the same distance in 2 revolutions. How many inches thick is the rubber padding? Explain and Show how you got your answer.
2006-10-03 17:03:53 · 2 answers · asked by Anonymous in Education & Reference ➔ Standards & Testing
It is 12 inches thick. 24 divided by 2x equals the sum of the 4th power
2006-10-03 17:06:01 · answer #1 · answered by emilyy:) 3 · 1⤊ 0⤋
24 pie takes 3 revolutions. one revolution is 24pi/3 = 8 pi
24 pi taking 2 revolutions means the wheel has circumferance of 24pi/2 = 12 pi.
you have 2 circumferences. find the radius of both using 2pie *r = circumference. This means the rubber applied adds 2 inches to radius.
r of smaller = 4
r of larger = 6
larger rim is 2 inches larger than the smaller rim bc 6 - 4.
2006-10-03 17:08:10 · answer #2 · answered by leikevy 5 · 1⤊ 1⤋