Calculating g force for flywheel

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    Flywheel Force
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To determine the RPM at which a flywheel with an offset shaft travels faster than gravity, the calculation involves using the formula for gravitational acceleration and angular velocity. The flywheel's diameter is 0.1524m, leading to an angular velocity of approximately 21.82 rad/s, which translates to 208 RPM. However, this approach is deemed incorrect as a more suitable formula for centrifugal forces should be applied. A revised calculation indicates that to achieve an acceleration greater than 1g, the RPM should be around 600+, with a free-fall time of 0.176 seconds resulting in 2.47g acceleration. Accurate conversions and understanding of the vertical component are crucial for precise calculations.
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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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