Simple Harmonic Motion - rearranging equation

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SUMMARY

The discussion focuses on rearranging the equation for simple harmonic motion, specifically f = (1/2π)√(k/m). The user successfully derived the expression for k as k = (2πf)²m. The conversation emphasizes the importance of understanding the relationship between frequency (f), mass (m), and the spring constant (k) in the context of simple harmonic motion.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with algebraic manipulation of equations
  • Knowledge of the spring constant (k) and mass (m)
  • Basic grasp of frequency (f) in oscillatory systems
NEXT STEPS
  • Study the derivation of the spring constant (k) in simple harmonic motion
  • Learn about the implications of varying mass (m) on frequency (f)
  • Explore graphical representations of linear relationships in physics
  • Investigate the role of damping in oscillatory systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for clear examples of equation manipulation in simple harmonic motion.

Jess_18033152
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Homework Statement


How to rearrange following equation?

Homework Equations


f = (1/2pi) square root of (k/m)

The Attempt at a Solution


(f^2 x m)/ (1/2pi)^2

Is this how i would do it?
 
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Depends on what your intention is :smile:
Do you vary something and measure something else, and want to obtain a linear relationship ?
 
BvU said:
Depends on what your intention is :smile:
Do you vary something and measure something else, and want to obtain a linear relationship ?
Thanks, I wanted to find k but worked out how to rearrange it :)
 

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