Question

The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minutes, find the linear speed of one of the cars in feet per second. Round your answer to the nearest hundredth

Answer 1

The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v  =  wr

Substitute w = 0.10472  and r = 74 feet into the formula:

v  =  0.10472  x  74

v  =  7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

Learn more on linear speed here: brainly.com/question/4357151