Question

a carnival ride has a 3.0-m radius and rotates once every 1.7 s. find the centripetal acceleration of a rider. group of answer choices 82 m/s 11m/s 98m/s2 41 m/s

Answer 1

The centripetal acceleration of the rider is 41 m/s^2.

To find the centripetal acceleration of a rider on the carnival ride, we can use the formula:

Centripetal acceleration = (angular velocity)^2 x radius

Given that the radius of the ride is 3.0 m and it rotates once every 1.7 s, we can calculate the angular velocity:

Angular velocity = 2π / time period

Substituting the values, we get:

Angular velocity = 2π / 1.7 = 3.6911 rad/s

Now, we can calculate the centripetal acceleration:

Centripetal acceleration = (3.6911 rad/s)^2 x 3.0 m = 41.080 m/s^2

Therefore, the centripetal acceleration of the rider is 41 m/s^2.