The point revolves around a circle with a radius of 1.5 meters with a centripetal acceleration

The point revolves around a circle with a radius of 1.5 meters with a centripetal acceleration of 25 m / s2. Determine the speed of the point.

Given:

R = 1.5 meters – the radius of the circle along which the material point rotates;

a (c) = 25 m / s ^ 2 – centripetal acceleration of a material point.

It is required to determine v (m / s) – the speed of a material point.

To determine the speed of a material point, you need to use the following formula:

a (q) = v ^ 2 / R, hence:

v = (R * a (q)) ^ 0.5 = (1.5 * 25) ^ 0.5 = 37.5 ^ 0.5 = 6.1 meters per second.

Answer: the speed of a material point is 6.1 meters per second.