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

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SUMMARY

The discussion focuses on calculating the centripetal acceleration and force acting on a rotating bolt. The user determined the rotation speed to be 255 rotations per second and calculated the linear velocity as 57.63 m/s using the circumference of the bolt. The centripetal acceleration was computed to be 14695.65 m/s², leading to a force of 470.26 N using the formula F=ma. A correction was made to use the radius instead of the circumference in the final calculations, resulting in a revised force of 2957.32 N.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of centripetal acceleration formula (a=v²/r)
  • Familiarity with basic circular motion concepts
  • Ability to perform unit conversions and calculations involving rotations per second
NEXT STEPS
  • Study the derivation and applications of centripetal acceleration in circular motion
  • Learn about the implications of force calculations in mechanical systems
  • Explore the relationship between linear velocity and angular velocity
  • Investigate real-world applications of centripetal force in engineering
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Students studying physics, mechanical engineers, and anyone interested in understanding the dynamics of rotating systems.

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
 
Last edited by a moderator:
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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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