The bicycle wheel has a radius of 40 m. Determine the speed of the cyclist if the wheel makes 120 revolutions per minute.
May 28, 2021 | education
| R = 40 m.
N = 120.
t = 1 min = 60 s.
V -?
The speed of movement V is the ratio of the traversed path S to the time of its passage t: V = S / t.
For 1 full revolution, the wheel point travels a distance equal to the circumference L of the radius R.
The length of the circle L is found by the formula: L = 2 * P * R, where P is the number pi.
During the time t, the wheel makes N revolutions, so whatever point of the wheel passes the distance S = N * L = N * 2 * P * R.
The bike speed V will be determined by the formula: V = N * 2 * P * R / t.
V = 120 * 2 * 3.14 * 40 m / 60 s = 502.4 m / s.
Answer: the speed of the cyclist is V = 502.4 m / s.
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