Problema Solution
the radius of a wheel is 20 inches. when the wheel moves 110 inches, through how many radians does does a point on the wheel turn? how many revolutions does a point on the wheel turn? how many revolutions are made by the wheel?
Answer provided by our tutors
let
r = 20 in the radius
s = 110 in the distance
a = the angle in rad
a*r = s
a*20 = 110
a = 110/20
a = 5.5 rad
the point on the wheel will turn 5.5 rad
we know that one revolution is 2pi radii thus 5.5 rad is 5.5/2pi = 0.89 rev.