Calculating g force for flywheel

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Discussion Overview

The discussion focuses on calculating the RPM of a flywheel with an offset shaft to achieve a g force greater than that of gravity. Participants explore the relationship between angular velocity, centrifugal force, and the dynamics of a falling object in a circular motion context.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant proposes a method to calculate the RPM of a flywheel based on the time it takes for an object to fall a certain height, using the formula h=1/2g*t^2.
  • Another participant questions the validity of the initial approach and suggests using a simpler formula for centrifugal/centripetal forces instead.
  • A participant clarifies their intention to simulate a ball dropping in a circular motion, indicating that their approach is correct if considering the vertical component of acceleration.
  • There is a mention of a discrepancy in RPM calculations, with one participant suggesting that the centrifugal approach indicates a much higher RPM requirement (600+ RPM) compared to the initial calculation of 208 RPM.
  • Another participant provides an alternative calculation, suggesting that with the given diameter, the free-fall time corresponds to a different RPM (170.2 RPM) and a g force of 2.47 g, emphasizing the importance of converting diameter to radius.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to calculating the necessary RPM and the resulting g forces. There is no consensus on the validity of the initial method or the appropriate formulas to use.

Contextual Notes

Some calculations depend on the interpretation of the problem, such as whether to consider instantaneous acceleration or the vertical component of forces. There are also unresolved mathematical steps regarding the conversion of diameter to radius.

wakadarc
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I need to determine the RPM just that the flywheel (that has an offset shaft) will travel faster than gravity (g force). Meaning my offset shaft will be falling faster than a falling object per se.

So flywheel has a diameter of 0.1524m.

h=1/2g*t^2
t=0.144s (assuming we did 1.5x(9.8m/s) with h=0.1524m)

angular velocity = 3.14/t = 3.14/0.144s = 21.82 rad/s
Therefore the RPM is 208 RPM (1 rad/s = 9.55 RPM)

Is this the right approach? Thank you.
 
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wakadarc said:
h=1/2g*t^2
Where does that formula come from and what does it represent?
wakadarc said:
angular velocity = 3.14/t = 3.14/0.144s
Why pi/t?

It is not the right approach.

There is a simple formula for centrifugal/centripetal forces, you can directly use it.
 
I am simulating a ball dropping at the top of a circle and the time it takes to reach the bottom, hence using pi. The ball is under the g force.But I've seen this
http://www.calctool.org/CALC/phys/Newtonian/centrifugal

This calculates the centrifugal force but i need the vertical component to be greater than g (downward gravity force)
 
wakadarc said:
I am simulating a ball dropping at the top of a circle and the time it takes to reach the bottom
Ah, then I misunderstood your first post. I thought you were interested in the instantaneous acceleration.

Okay, then your approach is right.
 
So the offset shaft will fall (or in reality, rotate about the center) at 1.5gs if I have 208 RPM?

The centrifugal approach from the link I posted has it higher, 600+ RPM
 
I checked the numbers. With your diameter, I get 0.176 seconds of free-fall time. That corresponds to 17.823/s or 170.2 rpm.

Using those numbers, the tool gives 2.47 g acceleration. That looks reasonable. Don't forget to convert diameter to radius.
 

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