A wheel of radius 30cm is turning about a fixed axis at a rate of 1 1/2 revolutions per minute. What is the angle which the wheel turns in 30 seconds, and the distance moved by a point on the rim in 30 seconds?
It turns through 2pi x 1.5 = 3pi revolutions in one minute......so, in 30 seconds, it turns through 1/2 of this = (3pi/2)
And the distance - (s) - moved by the point is
S = r(Θ) = (30cm)(3pi/2) = [90pi/2] cm = [45pi ] cm = about 141.37 cm
