How do you calculate the velocity of a pendulum at its lowest point?

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SUMMARY

The velocity of a pendulum at its lowest point can be calculated using the formula v = √(2gL(1 - cosΘ)), where g represents the acceleration due to gravity, L is the length of the pendulum, and Θ is the maximum angle of swing. However, without the maximum angle, this formula cannot be applied directly. The discussion emphasizes the importance of centripetal force in understanding the motion of the pendulum, as it is crucial for calculating the velocity in circular motion scenarios.

PREREQUISITES
  • Understanding of pendulum mechanics
  • Knowledge of centripetal force
  • Familiarity with gravitational acceleration (g)
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Research the derivation of the pendulum velocity formula
  • Study centripetal force and its applications in circular motion
  • Explore the effects of varying angles on pendulum motion
  • Learn about energy conservation in pendulum systems
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Physics students, educators, and anyone interested in the dynamics of pendulum motion and centripetal force applications.

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If you are given the tension of the pendulum at its lowest point and the length of the pendulum, how can you solve for the velocity of the pendulum?

I've looked in my book and found the equation

v= √ (2gL (1-cosΘ))

But this equation doesn't help me unless I have the maximum angle the pendulum can swing. Is there another formula I should be aware of?
 
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oh that's easy! I see youre dilehma! i spelled it wrong haha. ok here we go. SO, this will have everything to do with centripetal force. What do you know about that?
 
basically, centripetal force is the force that allows circular motion which always points towards the center.
 

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