Question

A Ferris wheel has a radius of 32 feet. suppose it turns at a rate of 70 revolutions per hour. find the angular and linear speed?

Answer 1

The angular speed of the Ferris wheel is 140π radians per hour and the linear speed is 4200 revolutions per minute.

Step-by-step explanation:

To find the angular speed, we can use the formula:

Angular Speed = (2π * Number of Revolutions) / Time

Substituting the given values, we have:

Angular Speed = (2π * 70) / 1

Angular Speed = 140π radians per hour

To convert the angular speed to revolutions per minute, we can use the formula:

Revolutions per Minute = (Angular Speed * 60) / (2π)

Substituting the given values, we have:

Revolutions per Minute = (140π * 60) / (2π)

Revolutions per Minute = 4200

Therefore, the angular speed is 140π radians per hour and the linear speed is 4200 revolutions per minute.