Problema Solution
A round wheel with a radius of 37 cm rolls at a constant speed of 3 revolutions per second. How far does the axle of the wheel move in 8 seconds?
Answer provided by our tutors
let
r = 37 cm the radius of the wheel
in 8 seconds the wheel will make n = 3*8 = 24 revolutions
the axle moves the same distance as the point of contact between the road and the wheel travels
in 24 revolutions the point on the wheel will travel distance = 24 circumferences of the circle or
24*2*r*pi = 48*37*3.14 = 5576.64 cm
the axle of the wheel will move 5576.64 cm.