How Do You Calculate the Centripetal Force for a Swinging Mass?

AI Thread Summary
To calculate the centripetal force for a 4kg mass swinging in a 3m radius circle with a cycle time of 2 seconds, the necessary equations are V=2πr/T and F=mv²/r. The problem involves determining the velocity first, which requires finding the number of cycles per second; since one cycle takes 2 seconds, there is 0.5 cycles per second. This leads to an angular velocity that can be used to find the velocity of the mass. Ultimately, using these calculations, the required centripetal force is determined to be 118N.
Instanbul
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Homework Statement


How much force is needed to swing a 4kg mass in a 3m radius horizontal circle so that each cycle takes exactly 2 seconds. Answer is 118N but the problem is how do I get to that...


Homework Equations


V=2Pir/T F=mv^2/r


The Attempt at a Solution


I tried using F=mv^/r one but I got nowhere close my teacher just solves problems without explaining at all and I have no clue how to solve it except find numbers.


Thank you for your time.
 
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I one cycle takes 2 seconds, how many cycles are in one second? Hence what is the angular velocity of the bat?
 
It doesn't say that's all the info that the problem gives me.
 
Instanbul said:
It doesn't say that's all the info that the problem gives me.

I am quite sure you can find the the number of cycles in 1 second given, that 1 cycle takes 2 seconds.
 
Aren't I looking for the force of the swing?
 
Last edited:
Instanbul said:
Aren't I looking for the force of the swing?

Yes but you need to get the periodic time to get F.
 
Oh I get it now thank you so much.
 
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