Question

A ball on a string makes 15.0 revolutions in 6.37s, in a circle of radius 0.230m. what is its centripetal acceleration?(unit=m/s^2) i need help please

Answer 1

Answer:

50.3 m/s²

Explanation:

Centripetal acceleration is:

a = v² / r

where v is velocity and r is radius.

First, calculate the velocity.  Velocity is distance divided by time.  The distance is the number of circumferences traveled by the ball.

v = x / t

v = (15.0 × 2π × 0.230 m) / 6.37 s

v = 3.40 m/s

Therefore:

a = (3.40 m/s)² / 0.230 m

a = 50.3 m/s²