How is the formula for period of oscillation derived?

[TyErd]

How is the formula for period of oscillation derived?

t=2pisqrt(m/k)

 

[rl.bhat]

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.

 

[radou]

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)