# How is the formula for period of oscillation derived?

TyErd
How is the formula for period of oscillation derived?

t=2pisqrt(m/k)

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How is the formula for period of oscillation derived?

t=2pisqrt(m/k)
In sprind
F = -kx
ma = -kx
a - -(k/m)x
d^2x/dt^2 = -(k/m)x

Put x = Asin(ωt)
And substitute in the above equation.

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Take an undamped spring-mass system (spring constant k, mass attached m), write down Newton's 2nd Law, and see where it leads.

(A bit late, pardon me)