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Check the correctness of formula t=2π √m/k, dimensionally​

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Hi there! Lets see!

  • m is mass, and its units are kg
  • k is the elastic constant measured in newtons per meter (N/m), or kilograms per second squared kg/s²

Therefore:


\sqrt{(m)/(k)} =\sqrt{([kg])/([(kg)/(s^2)])} =\sqrt{([kg])/([kg])\cdot s^2} = √([s]^2) = s

The period is given in seconds so the formula is dimensionally​ correct.

User The Alpha
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