What is the centripetal acceleration and force on a rotating bolt?

AI Thread Summary
The discussion focuses on calculating the centripetal acceleration and force on a rotating bolt. The user determines the bolt's rotation speed to be 255 rotations per second and calculates its linear velocity as 57.63 m/s. Using the centripetal acceleration formula, they initially find an acceleration of 14,695.65 m/s², but later correct their approach to use the proper radius, resulting in an acceleration of 92,416.18 m/s². Consequently, the force is recalculated, yielding a final value of 2,957.32 N. The user acknowledges the need for better organization in their calculations.
Jrlinton
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Homework Statement



https://www.physicsforums.com/attachments/bolt-png.106701/

Homework Equations


F=ma
v=d/t
centripetal accel=v^2/r
basic circle formulas

The Attempt at a Solution


Firstly to figure the rot/sec of the rod
2040/8= 255 rotations per second
Then multiplying the 255 rotations by the circumference of the bolt to find the velocity
2pi(.036m)= .226 m
.226*255=57.63 m/s
Using the centripetal acceleration formula to find acceleration
57.63^2/.226= 14695.65 m/s/s
Using F=ma
F=.032kg(14695.65 m/s/s)
F=470.26 N
 
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Yeah I divided by the circumference instead of the radius in the acceleration formula. I guess I need to be more organized in my work.
57.68^2/.036=92416.18
F=92416.18(.032)=2957.32
 
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