# Ferris wheel magnitude and period

• AnkhUNC
In summary, the magnitude of a Ferris wheel refers to its overall size or height and can vary up to 541 feet. It is typically measured in feet or meters and can be calculated by the distance between the ground and the highest point or the diameter of the wheel. The period of a Ferris wheel is the time it takes to make one full rotation and can range from a few minutes to over 30 minutes. Its calculation is based on the circumference and speed of the wheel. The magnitude of a Ferris wheel can affect its period, with larger wheels generally having a longer period due to their size, but other factors such as design and speed can also play a role.
AnkhUNC

## Homework Statement

A woman rides a carnival Ferris wheel at radius 21 m, completing 4.2 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?

## The Attempt at a Solution

How should I go about solving this one? Also are there any sites that can explain 2d and 3d motion better? My book is a little lacking.

So I have t= 14.285 but I really am unsure of how to find the max/min.

I would approach this problem by first identifying the relevant equations and principles related to circular motion. The period of the motion can be calculated using the formula T = 2πr/v, where r is the radius of the Ferris wheel and v is the linear velocity. In this case, r = 21 m and v = (4.2 turns/minute) * (2π rad/turn) * (21 m) = 88.2 m/s. Plugging these values into the formula, we get T = 2π(21 m)/88.2 m/s = 0.477 minutes.

To calculate the centripetal acceleration, we can use the formula a = v^2/r. At the highest point, the linear velocity is zero, so the centripetal acceleration is also zero. At the lowest point, the linear velocity is at its maximum, which we calculated to be 88.2 m/s. Plugging this into the formula, we get a = (88.2 m/s)^2/21 m = 370.5 m/s^2.

As for resources to better understand 2D and 3D motion, I would recommend checking out educational websites such as Khan Academy or Physics Classroom. You can also find helpful explanations and examples in physics textbooks or online lecture notes. It may also be helpful to practice solving similar problems to solidify your understanding of the concepts.

## 1. What is the magnitude of a Ferris wheel?

The magnitude of a Ferris wheel refers to its overall size or height. This can vary depending on the specific Ferris wheel, but some of the largest ones can reach up to 541 feet in height.

## 2. How is the magnitude of a Ferris wheel measured?

The magnitude of a Ferris wheel is typically measured in feet or meters. It can be measured by the distance between the ground and the highest point of the Ferris wheel, or by the diameter of the wheel itself.

## 3. What is the period of a Ferris wheel?

The period of a Ferris wheel is the amount of time it takes for the wheel to make one full rotation. This can range from a few minutes to over 30 minutes depending on the size and design of the Ferris wheel.

## 4. How is the period of a Ferris wheel calculated?

The period of a Ferris wheel can be calculated by dividing the circumference of the wheel by the speed at which it rotates. This formula is period = circumference / speed.

## 5. Can the magnitude of a Ferris wheel affect its period?

Yes, the magnitude of a Ferris wheel can affect its period. Generally, the larger the Ferris wheel, the longer the period will be, as it takes more time for a larger wheel to complete one full rotation. However, other factors such as design and speed can also impact the period of a Ferris wheel.

• Introductory Physics Homework Help
Replies
12
Views
2K
• Introductory Physics Homework Help
Replies
3
Views
1K
• Introductory Physics Homework Help
Replies
14
Views
8K
• Introductory Physics Homework Help
Replies
1
Views
2K
• Introductory Physics Homework Help
Replies
6
Views
6K
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
26
Views
4K
• Introductory Physics Homework Help
Replies
1
Views
6K
• Introductory Physics Homework Help
Replies
1
Views
2K
• Introductory Physics Homework Help
Replies
4
Views
6K