# Acceleration of a mass-spring oscillation

1. Apr 19, 2009

### Knfoster

1. The problem statement, all variables and given/known data

A mass-spring system oscillates with an amplitude of 3.30 cm. If the spring constant is 231 N/m and the mass is 537 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.

2. Relevant equations

.5*m*v^2=.5*k*delta*x^2

3. The attempt at a solution
THe mechanical energy= .126 J, and the maximum speed= .684 m/s
I don't know how to get the maximum acceleration... Could someone please point me towards the right equation to achieving this answer? Thanks!

2. Apr 19, 2009

### rl.bhat

Maximum acceleration = -Aω^2.
Mass and k are given. Find ω.

3. Apr 19, 2009

### Knfoster

I don't understand.. what am I setting -Aw^2 equal too? Also is A= amplitude?

4. Apr 19, 2009

### rl.bhat

Yes. A is the amplitude. Do you know the relation between k, m and ω?
And -Aω^2 = maximum acceleration which you want to find out.

5. Apr 19, 2009

### Knfoster

No I'm not sure what the relationship is between them.

6. Apr 19, 2009

### rl.bhat

OK. ω = sqrt(k/m)

7. Apr 19, 2009

### Knfoster

ok. Thank you, I have the answer now. You were a big help!