**Physics Problem: Calculating the Radius of a Spinning Chamber Ride****Problem Statement:**At an amusement park, there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant, the outer wall moves at a speed of 2.75 m/s, and a 55.6-kg person feels a 148-N force pressing against their back. **Question:** What is the radius of a chamber?**Data Provided:**- Speed of outer wall: 2.75 m/s- Mass of person: 55.6 kg- Force felt by person: 148 N**Solution:**To find the radius of the chamber, you can use the formula that relates centripetal force (Fc), mass (m), velocity (v), and radius (r):\[ Fc = \frac{mv^2}{r} \]By rearranging the formula to solve for the radius (r), you get:\[ r = \frac{mv^2}{Fc} \]**Interactive Calculation:**Enter the values and units in the provided fields:| Parameter | Value ||--------------|-------|| Mass (m) | 55.6 kg || Velocity (v) | 2.75 m/s || Force (Fc) | 148 N |**Enter your answer in the fields below:**| Number | Units ||----------|---------|| ________ | m |**Note:** Ensure your units are consistent when performing the calculation to achieve the correct result.**Learn More:**For further understanding of centripetal force and its applications, refer to our detailed guide and examples on circular motion in the Physics section.

Here Mass of person = m = 55.6 kg Speed of outer wall = v = 2.75 m/s Force experience by the person…

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 2.75 m/s, and an 55.6-kg person feels a 148-N force pressing against his back. What is the radius of a chamber? Number i Units

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 2.75 m/s, and an 55.6-kg person feels a 148-N force pressing against his back. What is the radius of a chamber? Number i Units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

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Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

**Physics Problem: Calculating the Radius of a Spinning Chamber Ride**

**Problem Statement:**

At an amusement park, there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant, the outer wall moves at a speed of 2.75 m/s, and a 55.6-kg person feels a 148-N force pressing against their back.

**Question:**
What is the radius of a chamber?

**Data Provided:**
- Speed of outer wall: 2.75 m/s
- Mass of person: 55.6 kg
- Force felt by person: 148 N

**Solution:**
To find the radius of the chamber, you can use the formula that relates centripetal force (Fc), mass (m), velocity (v), and radius (r):

\[ Fc = \frac{mv^2}{r} \]

By rearranging the formula to solve for the radius (r), you get:

\[ r = \frac{mv^2}{Fc} \]

**Interactive Calculation:**
Enter the values and units in the provided fields:

| Parameter | Value |
|--------------|-------|
| Mass (m) | 55.6 kg |
| Velocity (v) | 2.75 m/s |
| Force (Fc) | 148 N |

**Enter your answer in the fields below:**

| Number | Units |
|----------|---------|
| ________ | m |

**Note:** Ensure your units are consistent when performing the calculation to achieve the correct result.

**Learn More:**
For further understanding of centripetal force and its applications, refer to our detailed guide and examples on circular motion in the Physics section.

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