A wheel has a radius of 3.90 m. How far (path length) does a point on the circumference travel if the wheel is rotated through the following angles, respectively? (a) 28.0° m (b) 28.0 rad m (c) 28.0 rev
Distance traveled by a point on circumference will be:
S = r*
Where r = radius of wheel = 3.90 m
= Angle in radian
Part A.
when = 28.0 degree
= 28.0*(pi/180) rad = 0.4887 rad
So,
S = 3.90*0.4887 = 1.91 m
Part B.
when = 28.0 rad
then
S = 3.90*28.0 = 109.20 m
Part C.
when = 28.0 rev
= 28.0 rev*(2*pi rad/1 rev) = 175.93 rad
So,
S = 3.90*175.93
S = 686.13 m
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