# Simple Harmonic Motion

#### Clairepie

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

I am confoosed, I think I need to find T first but not sure I am using the right equations, is vibrational amplitude both length & A?

A hydraulic valve is subjected to sinusoidal vibrations to test the component under conditions of simple harmonic motion.

The first test specifies an acceleration amplitude of 10g (= 98.1 m s−2) with a
vibration amplitude of 2.0 cm.
What frequency of vibration is required?

2. Relevant equations
I think these are the ones I should be using???? If there are more I need to know!

T=1/(2pi) Sqrt (l/g)

f=1/T

3. The attempt at a solution
T=1/(2pi) Sqrt (l/g)
Where l=2.0 X 10-2 m
& g= 98.1 m s-2

Then f=1/T

Related Introductory Physics Homework News on Phys.org

#### vela

Staff Emeritus
Homework Helper
1. The problem statement, all variables and given/known data

I am confoosed, I think I need to find T first but not sure I am using the right equations, is vibrational amplitude both length & A?

A hydraulic valve is subjected to sinusoidal vibrations to test the component under conditions of simple harmonic motion.

The first test specifies an acceleration amplitude of 10g (= 98.1 m s−2) with a
vibration amplitude of 2.0 cm.
What frequency of vibration is required?

2. Relevant equations
I think these are the ones I should be using???? If there are more I need to know!

T=1/(2pi) Sqrt (l/g)
This equation is for a simple pendulum: a mass m at the end of a string of length l. As there is no pendulum in this problem, the equation doesn't apply.
f=1/T

3. The attempt at a solution
T=1/(2pi) Sqrt (l/g)
Where l=2.0 X 10-2 m
& g= 98.1 m s-2

Then f=1/T
Hint: If you solve F=ma for simple-harmonic motion, you get a solution like x(t)=A cos(ωt+ϕ). You can refer to your notes and textbook if you're not sure what the various quantities in that equation stand for.

#### Clairepie

I think I have it, x(t)=A sin(ωt+ϕ) is the way forward, Thanks for clarifying that for me Vela *high five*

I read this, then took a shower & wrote down the algebra etc on the steamed up shower, I recommend this as the new "going for a walk"!
Clairepie

(If I came across a little daft, I can blame it on my medication & condition)

"Simple Harmonic Motion"

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