Simple Harmonic Motion equation rearrangement?

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SUMMARY

The discussion focuses on rearranging the equation for the period of a simple pendulum, T=2π√(l/g), to solve for free-fall acceleration, ag. The user provided a length of 1 meter and a period of 20.1 seconds as sample values from their lab. The correct rearrangement leads to the formula ag = (4π²l) / T². This allows for the calculation of ag based on the measured period and length of the pendulum.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with the formula for the period of a simple pendulum
  • Basic algebra for rearranging equations
  • Knowledge of units for acceleration due to gravity
NEXT STEPS
  • Practice rearranging other physics equations for different variables
  • Explore the effects of varying length and period on free-fall acceleration
  • Learn about the derivation of the simple pendulum formula
  • Investigate real-world applications of simple harmonic motion in engineering
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of simple harmonic motion and pendulum dynamics.

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Homework Statement


Hello! I have a physics homework question I just need help at!
What I am supposed to do is calculate the value for free-fall acceleration, ag, for each of my trials that I did in my lab. I supposed to use the equation for the period of the simple pendulum, T=2π√l/g, but I have to rearrange it to solve for ag. How would I do that?

Homework Equations


Here are some sample values I used in my lab:
Length: 1 meter
Period: 20.1 seconds

The Attempt at a Solution

 
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*Update*
I figured it out!
 

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