Explanation of formula T = 2pi sqrt(m/k)

[jackrc11]

Homework Statement

This formula we've been using recently, I don't understand where it comes from.

Homework Equations

T = 2pi * sqrt(m/k)

The Attempt at a Solution

Hooke's law: F = -kx
E(total) = .5mv^2 + .5kx^2
Circumference of a Circle: C = 2 * pi * r

I figure these piece together, but I don't understand how.

 

[Biker]

Homework Statement

This formula we've been using recently, I don't understand where it comes from.

Homework Equations

T = 2pi * sqrt(m/k)

The Attempt at a Solution

Hooke's law: F = -kx
E(total) = .5mv^2 + .5kx^2
Circumference of a Circle: C = 2 * pi * r

I figure these piece together, but I don't understand how.

You have to derive the equation for acceleration from a graphs of Shm. Look at them and try to get an equation for acceleration.

Spoiler: Don't open it unless you couldn't

a = - w²A
Now you can get that equation easily
Previous thread: https://www.physicsforums.com/threads/deriving-angular-frequency-for-simple-harmonic-motion.219104/