221k views
1 vote
While at the county fair, you decide to ride the Ferris wheel.Having eaten too many candy apples and elephant ears, you find themotion somewhat unpleasant. To take your mind off your stomach, youwonder about the motion of the ride. You estimate the radius of thebig wheel to be 15m, and you use your watch tofind that each loop around takes 25s

What is your speed?

User Vantt
by
7.8k points

1 Answer

3 votes

Final answer:

The speed of the Ferris wheel is 3.77m/s.

Step-by-step explanation:

The speed of an object traveling in a circular path is determined by its angular velocity and the radius of the circle. In this case, the Ferris wheel has a radius of 15m and each loop around the wheel takes 25 seconds.

To find the speed, we first need to determine the circumference of the circle. The circumference is equal to 2 * π * radius. So for a radius of 15m, the circumference is 2 * 3.14 * 15 = 94.2m.

Since each loop around the wheel takes 25 seconds, the speed of the ride can be calculated by dividing the circumference by the time taken for each loop. So the speed is 94.2m / 25s = 3.77m/s.

User Srinannapa
by
8.0k points