# The cyclist moves at a speed of 8m / s in an arc of a circle with a radius of 60m. What is the acceleration of the cyclist?

January 15, 2021 | education

| **The cyclist moves at a speed of 8m / s in an arc of a circle with a radius of 60m. What is the acceleration of the cyclist? How long will it take for it to make one complete revolution along this circle?**

Task data: V (constant speed of the cyclist) = 8 m / s; R (radius of the circular arc) = 60 m.

1) Acceleration of the cyclist: a = √ (an ^ 2 + aτ ^ 2) = √ (an ^ 2 + 0) = an = V ^ 2 / R = 8 ^ 2/60 = 64/60 = 1.07 m / s2.

2) The duration of one complete revolution (N = 1): t = N * T = N * 2 * Π * R / V or t = S1 / V = 2 * Π * R / V; t = 2 * 3.14 * 60/8 = 47.1 s.

Answer: The acceleration of the cyclist is 1.07 m / s2; the duration of one complete revolution is 47.1 s.

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