Physics Centripetal Force problem?

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Homework Help Overview

The discussion revolves around a centripetal force problem involving a space station with a diameter of 200m, where the goal is to determine the rotation rate needed to simulate gravity equal to 0.7 times that of Earth's gravity. Participants are exploring the relationship between linear speed, angular speed, and the period of rotation.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculations for linear speed and the period of rotation, questioning whether the term "how fast does it spin" refers to linear or angular speed. There is an exploration of the formulas involved, including those for angular speed.

Discussion Status

Some participants have confirmed the calculations for linear speed and the period of rotation, while others are seeking clarification on the distinction between linear and angular speed. There is a productive exchange regarding the correct interpretation of the problem's requirements.

Contextual Notes

The original poster's calculations rely on the assumption that the space station's rotation must create a specific gravitational effect, and there is an ongoing discussion about the definitions and implications of angular versus linear speed in this context.

Brij Patel
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1. At what rate a space station 200m in diameter would have to rotate to create gravity equal to 0.7 that at the surface of earth. How fast does it spin, and how long would it take to make a complete rotation? 2. a2 = v2 / 100m
T = 2pi(r) / v


3.
so far: 6.867m/s2 = v2 / 100m = 26.2 m/s

T = 2pi(100) / 26.2m/s = 24 sec

did I do it right?
 
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Welcome to PF!

Your work looks good. The phrase "how fast does it spin" might refer to angular speed rather than linear speed at the outer rim.
 
TSny said:
Welcome to PF!

Your work looks good. The phrase "how fast does it spin" might refer to angular speed rather than linear speed at the outer rim.
The problem is word for word so I assume they're asking for angular speed.
Am I correct, though?
 
If they're asking for angular speed, then you need to calculate the angular speed. I believe your answers for the linear speed and period of rotation are correct.
 
TSny said:
If they're asking for angular speed, then you need to calculate the angular speed. I believe your answers for the linear speed and period of rotation are correct.
w = 2pi / T
w = 2pi / 24 = .2618 rad/sec
is that correct?
 
Yes. It's also v/r = 26.2/100=0.262 rad/sec
 

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