A 41.0 cm diameter wheel accelerates uniformly from 86.0 rpm to 342.0 rpm in 3.4 s. How far (in meters) will a point on the edge of the wheel have traveled in this time?

Question

Henry · Answer

Circumference=pi*D = 3.14 * 41=128.8 cm=
1.288 m.

Vo = (86rev/min)*1min/60s*1.288m/rev =
1.85 m/s.
V = (342/86) * 1.85 = 7.34 m/s

a=(V-Vo)/t = (7.34-1.85)/3.4=1.61 m/s^2

d =Vo*t + 0.5*a*t^2
d=1.85*3.4 + 0.5*1.61*(3.4)^2= 15.6 m.