Energy in Vibrations: 100Kg at 10Hz & 10mm/s

[Great-dane]

Hi people can anyone help me? I need to know how much energy it takes to vibrate a mass at a frequency and speed.
How much energy is there in a mass of ex. 100Kg at 10Hz and a speed of 10mm/s ?
Tangs!

 

[Great-dane]

Anyone?

 

[Gear300]

It depends on how the mass is vibrating. If the motion of the mass is simple harmonic and if you're referring to a maximum speed, then the energy should be the kinetic energy of the mass at that speed.

 

[Great-dane]

Thanks for your answer!
Welllll, I'm trying to work out how much energy there is in ex. "5*BPF" (see the att.). Let's say the mass is 100kg!
Is ti as simple as E(kin)?

 

[Gear300]

What is your graph describing (what is the system)?

 

[Great-dane]

It is from a vibration test on the aft part of a ship!
BPF=Blade Passing Frequ..
ME=Main Engine
The ship vibrates every time a propeller plade passes and I'm trying to finde the energ which is lost. The mass is imposible to know due to the structure of the ship, but i have a estimate saying 144kg/m2.
How much energy is lost in vibrating 144kg at the shown freq. and speeds?

 

[Great-dane]

Gear 300, what do you think?

 

[russ_watters]

I'm not sure your numbers are really valid, but just plug them into the kinetic energy equation.

 

[Great-dane]

They should be valid, they are from real life! Anyway, I have found the formula for energy in a "standing" sinus curve!

 

[Gear300]

Sorry, I was busy with things, so I forgot what was going on. I'm not really sure what's happening in this case, but if you're referring to the energy lost to the vibration of a ship, then I agree with you on the standing wave solution; though you probably figured that from the beginning. For the energy involved, I would normally leave it to idealization at this point and compare the vibration to that on a uniform string. Longitudinally, you could compare it to a sound wave and take into account the material difference.