The body moves in a circle with a radius of 2 m at a speed of 36 km / h. Determine centripetal acceleration.

Given:

v = 36 kilometers per hour – body speed;

r = 2 meters – the radius of the circle along which the body moves.

It is required to determine a (centripetal) – centripetal acceleration of the body.

Let’s convert the units of measurement of speed from kilometers per hour to meters per second:

v = 36 km / h = 36 * 10/36 = 360/36 = 10 meters per second.

Then the centripetal acceleration will be equal to:

a = v ^ 2 / r = 10 ^ 2/2 = 100/2 = 50 meters per second squared.

Answer: the centripetal acceleration of the body is 50 m / s2.