Agondola on an amusement park ride spins at a speed of 14 revolutions per minute. if the gondola is 24 feet from the ride's center, what is the linear speed of the gondola in miles per hour?

Linear speed, v = 23.86 miles per hour

Explanation:

It is given that,

Angular speed of gondola,

The gondola is 24 feet from the ride's center, r = 24 feet = 7.31 m

We need to find the linear speed of the gondola. It can be calculated using the following relation as :

v = 10.67 m/s

or

v = 23.86 miles per hour

So, the linear speed of the gondola is 23.86 miles per hour. Hence, this is the required solution.