The body moves uniformly around the circumference at a speed of 20 m / s, the radius

The body moves uniformly around the circumference at a speed of 20 m / s, the radius of the circle is 10 m, find the acceleration.

When the body moves uniformly around the circumference (the velocity module does not change, only its direction changes), only the centripetal, or normal, acceleration ac, m / s2 acts on it, the value of which can be found by the formula

ac = v ^ 2 / R,

where v is the speed of the body, m / s;

R is the radius of the trajectory, m.

Then, for a given motion of the body, we have:

ac = 20 ^ 2/10 = 40 m / s2.