Name: Henrique T
AP Physics I
Homework 5-1: Centripetal Force

1) Use your average speed equation to determine the speed of a rider on a carousel ride.

Given:
- Circumference = [tex]2 \times r[/tex]
- Diameter = 21.2 meters
- Time for one complete revolution = 17.3 seconds

Calculate the speed of the rider.

Question

20-10-2023
Physics

College

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Name: Henrique T
AP Physics I
Homework 5-1: Centripetal Force

1) Use your average speed equation to determine the speed of a rider on a carousel ride.

Given:
- Circumference = [tex]2 \times r[/tex]
- Diameter = 21.2 meters
- Time for one complete revolution = 17.3 seconds

Calculate the speed of the rider.

Answer :

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delicateWaterfall99 delicateWaterfall99 · Answer 1 · 2024-08-22T07:33:47-04:00

Final answer:

To find the speed of the rider on a carousel ride, divide the circumference of the circle by the time taken for a complete revolution. Given the diameter of the circle, calculate the radius first. Then, use the formula for average speed to calculate the speed of the rider. The speed of the rider is 6.15 m/s.

Explanation:

To find the speed of the rider on a carousel ride, we can use the formula for average speed, which is distance divided by time.

Given that the circumference of the circle is 2r and the diameter is 21.2 meters, we can calculate the radius (r) by dividing the diameter by 2. So, r = 21.2 / 2 = 10.6 meters.

Since the carousel makes a complete revolution in 17.3 seconds, the distance traveled is equal to the circumference of the circle. Therefore, the speed of the rider can be calculated by dividing the circumference by the time. So, speed = 2πr / time = (2π • 10.6) / 17.3 = 6.15 m/s.

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