# Simple Harmonic Motion Given Amplitude and Frequency

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1. Nov 20, 2016

### Vanessa Avila

1. The problem statement, all variables and given/known data
A cheerleader waves her pom-pom in SHM with an amplitude of 17.3 cm and a frequency of 0.830 Hz .
Find the maximum magnitude of the velocity.

2. Relevant equations
v = -w Asin(ωt+Φ) = -wx
or
Conservation of Energy:
1/2kx2 + 1/2mv2 = 1/2kA2
3. The attempt at a solution
I tried v = -ω(x) using 0.173 as x
v = -5.21(0.173) = -0.0901 > wrong

I got the ω by solving for period T (1.205s), i then made this equal to 2π/ω to solve for omega.

I have yet to try the conservation of energy. But what would be the x in this case?

2. Nov 20, 2016

### Vanessa Avila

I just realized that i had an extra 0 there for -0.0901, should have been 0.901!

3. Nov 20, 2016

### ehild

There are to many 0-s. And the magnitude is not negative!

4. Nov 20, 2016

### Vanessa Avila

Thanks! :)

5. Nov 20, 2016

### Vanessa Avila

I do have another question actually. How would i solve this?
"Find the speed when the pom-pom's coordinate is x= 9.40 cm ."

I tried to use the equation v = ωx and got 0. 48974, but i got the wrong answer