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3 years ago

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

Physics

1 answer:

pantera1 [17]3 years ago

4 0

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:

$\sqrt{\dfrac{m}{k}} =\sqrt{\dfrac{[kg]}{[\dfrac{kg}{s^2}]}} =\sqrt{\dfrac{[kg]}{[kg]}\cdot s^2} = \sqrt{[s]^2} = s$

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

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

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