AP Physics: Designing a Loop to Pull 4 G's

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To design a loop that achieves 4 G's, the diameter should be approximately 2/5 of the initial drop height, which is 0.305 meters. The calculated velocity at the bottom of the drop is 2.445 m/s, but achieving the desired G forces remains challenging. The Clothoid loop is mentioned as a way to minimize jerk, not necessarily to reduce G forces. The discussion raises questions about whether the 4 G's refer to maximum, minimum, or average forces. Understanding the centripetal force involved is crucial for accurate calculations in this design.
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Homework Statement


In my AP Physics class we need to design a loop that pulls around 4 G's. From what I understand, the diameter of the loop must be 2/5 times the initial drop. I cannot seems to get the G forces around 4. Any help? I found that the Clothoid loop reduces G forces but I can't figure out the calculations. We can assume the initial drop is .305 meters. This drop yields a velocity at the bottom of the drop of 2.445 m/s.
 
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Daniel Abramow said:
a loop that pulls around 4 G's
At maximum, minimum or average?
Daniel Abramow said:
I found that the Clothoid loop reduces G forces
No, I believe it minimises jerk, which is the rate of change of acceleration.
 
Well the maximum G force is 4
 
Daniel Abramow said:
Well the maximum G force is 4
So how strong is the centripetal/centrifugal force?
 

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