Use vibration to generate electricity

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comewithcws
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Hello, I am a student making a generator.
the main idea is to use the vibration with the magnet coil setting with the spring to generate electricity.
I will use the permanent magnet, but i know that
e = N w B A
i decided to have a 12Volt output,
constant vibration frequency in 100Hz
the A is in circular,with diameter = 6cm(just roughly decide,can be change, but can't be too large)
but i didnt decide the number of coil (N) and the (B)
i hv no idea to choose how strong of the magnet should be.
or
may i ask that , in a resonable way, how lagre of the magnet i need to use to do this generator?

thankyou for your attention
 
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The motion of the magnet relative to the vibrating mount is maximum when the resonant frequency of the spring (spring constant k) with mass m is tuned to the driving frequency of 100 Hz.
f0 = (1/2π) sqrt (k/m) = 100 Hz. See thumbnail.

Bob S
 

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