The bicycle wheel has a radius of 40 cm. How fast does the cyclist travel if the wheel is making 120 rpm? What is the period of rotation of the wheel?
r = 40 centimeters = 0.4 meters – the radius of the bicycle wheel;
n = 120 rpm – wheel speed.
It is required to determine the speed of the cyclist v (m / s) and the period of rotation T.
For the circumference of the wheel is equal to:
C = 2 * pi * r = 2 * 3.14 * 0.4 = 2.5 meters.
In 1 minute, the wheel travels a distance equal to:
S = n * C = 2.5 * 120 = 300 meters.
Then its speed is equal to:
v = S / t = 300/60 = 5 m / s.
The period is:
T = 60 / n = 60/120 = 0.5 s.
Answer: the speed of the cyclist is 5 m / s, the period of rotation of the wheel is 0.5 seconds.
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