A person running at a constant speed in a circle with a radius of 50 m makes a full circle

A person running at a constant speed in a circle with a radius of 50 m makes a full circle in 1 minute. Determine the magnitude of the centripetal acceleration.

Given:

R = 50 metro – the radius of the circle along which the person runs;

t = 1 minute = 60 seconds – the time it takes for a person to make a full circle in a circle.

It is required to determine a (m / s2) – centripetal acceleration.

Let’s find the length of the circle along which the person is running:

L = 2 * n * R, where n = 3.14 is the Pythagorean number;

L = 2 * 3.14 * 50 = 6.28 * 50 = 314 meters.

Then the speed of movement of a person will be equal to:

v = L / t = 314/60 = 5.2 m / s (the result has been rounded to one decimal place).

Then the centripetal acceleration will be equal to:

a = v ^ 2 / R = 5.2 ^ 2/50 = 27.04 / 50 = 0.5 m / s2.

Answer: the centripetal acceleration of a person is equal to 0.5 m / s2.