The body moves in a circle with a radius of 10 cm at a speed of 3 m / s. What is the centripetal acceleration of the body?

The centripetal (normal) acceleration of a body can be calculated using the formula:
an = V² / r, where an is the centripetal acceleration (m / s²), V is the linear velocity of the body along a circle (V = 3 m / s), r is the radius of the circle (curvature of the trajectory) along which the body moves (r = 10 cm = 0.1 m).
Let’s calculate the centripetal acceleration of the body:
an = V² / r = 3² / 0.1 = 9 / 0.1 = 90 m / s².
Answer: The centripetal acceleration of the body is 90 m / s².