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Maximum Energy stored in a wheel

 
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Apr16-12, 10:49 AM   #18
 

Maximum Energy stored in a wheel


The stresses on a spinning flywheel are primarily radial and circumferential tension (not compression), and limit rotor speeds to much lower than relativistic velocities. Recall the stuxnet virus that infected the Iranian uranium enrichment P-1 centrifuges and were destroyed because they spun out of control. See http://itmakessenseblog.com/2011/01/...-bomb-program/
Apr16-12, 01:48 PM   #19
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Quote by Bob S View Post
The moment of inertia of solid wheel of radius r and the stored rotational energy is
[tex] I=\frac{1}{2}mr^2 \text {, }E=\frac{1}{2}I\omega^2 [/tex]
The maximum stored energy is limited by the radial centrifugal forces and circumferential stresses at high RPM.
Note that if you combine these, the energy depends on mass and velocity of the outer edge. Furthermore, if you look at the equations for stress on the disk, you'll notice that disk will disintegrate pretty much at the same outer velocity regardless of radius. So the maximum energy stored in the disk would depend only on material used and mass of the disk.
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