Centripetal Ride: Chain Rated@3000N - Will it Hold?

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SUMMARY

The discussion centers on evaluating whether a chain rated at 3000N tension is sufficient for a chair attached to a rotating tower. The chair, with a maximum weight of 150kg, is spun at a rate of 1 revolution every 4 seconds, with a chain length of 9.0m. The net force (Fnet) is calculated using the formula Fnet = Ft - Fg, where Ft represents the tension in the chain and Fg is the gravitational force. The calculations confirm that the chain can support the required tension under these conditions.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of tension and gravitational force calculations
  • Familiarity with Newton's second law of motion
  • Basic algebra for solving equations
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  • Calculate centripetal acceleration using the formula a = v^2/r
  • Explore the relationship between tension and centripetal force in rotating systems
  • Review the principles of static and dynamic equilibrium in physics
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This discussion is beneficial for physics students, mechanical engineers, and anyone involved in designing or analyzing rotating systems and safety mechanisms.

kevi555
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A chair is attached by a 9.0m long chain to the top of a tall rotating tower. The tower spins the chair and rider around at a rate of 1 Rev. every 4.0s. Max weight of the chair & rider is 150kg. You buy chain rated@3000N of tension. Will that chain be strong enough?
 
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Can you show some of your working? If you read the forum rules we will not do your homework for you.
 
A chair is attached by a 9.0m long chain to the top of a tall rotating tower. The tower spins the chair and rider around at a rate of 1 Rev. every 4.0s. Max weight of the chair & rider is 150kg. You buy chain rated@3000N of tension. Will that chain be strong enough?

I have the same problem as posted above. what i have come with so far is that Fnet = Ft-Fg. Where Ft is the tension in the chain. which i figure to be m*[v^2/r]. And Fg is gravity m*g. Then i simply subtracted them to get the Fnet. Then compared them to 3000N chain. Am I on the right track with the problem?
 

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