Question

A carnival ride spins riders in a circle. The ride operator does not want the centripetal acceleration on the ride to exceed 24.4 m/s². If

the radius of the ride is 6.20 m, what is the maximum speed the riders can achieve, and stay under the acceleration limit?
3.94 m/s
12.3 m/s
15.5 m/s
150 m/s

Answer 1

Substituting the given values, we get:
v = sqrt(24.4 m/s² * 6.20 m)
v = sqrt(151.28 m²/s²)
v = 12.3 m/s (rounded to one decimal place)
Therefore, the maximum speed the riders can achieve and stay under the acceleration limit is 12.3 m/s.