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
Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter4: Motion In Two Dimensions
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e20d9b6-0c20-477e-99bf-00fa906d88b6%2F4b4d211a-f8e6-424f-baa8-067c56147446%2Fl0lb2ji_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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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