Determine the length the pendulum has travelled

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To determine the length a pendulum has traveled with an amplitude of 10.0 m and 7 vibrations, one must first understand the relationship between amplitude, frequency, and the total distance traveled. The total distance can be calculated by considering that the pendulum travels a distance equal to twice the amplitude for each complete vibration. Therefore, for 7 vibrations, the total distance would be 7 vibrations multiplied by 2 times the amplitude. Assumptions may include treating the pendulum's motion as simple harmonic motion and neglecting factors like air resistance. The final calculation yields a total distance traveled of 140.0 m.
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Homework Statement



A pendulum has an amplitude of 10.0 m and undergoes 7 vibrations.

Determine the length the pendulum has travelled, how do we do this if we don't know the frequency? What assumptions are we ought to make?

Homework Equations





The Attempt at a Solution



 
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you need to show some work first. Look at your equations and see what parts you do have and how you can replace the missing parts with relationships
 


Think: what is amplitude?

ehild
 

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