Physics Help Forum max angular velocity

 Mar 18th 2009, 11:48 PM #1 Physics Team   Join Date: Feb 2009 Posts: 1,425 max angular velocity what is the maximum angular velocity that can be imparted to a 10 kg disc of radius 1 meter?
 Mar 19th 2009, 01:02 AM #2 Physics Team   Join Date: Feb 2009 Location: India Posts: 365 From my limited knowledge on the subject I tried to solve a simpler problem - a point mass undergoing circular motion about an axis. Let a constant torque(T) starts acting at t=0, the equation of motion will be- dL/dt = T, here L is the angular momentum. Integrating both the sides we find L = Tt Or Iw = Tt { I is the moment of inertia of the particle(=MR^2) and w,the angular velocity} Or MR^2w = Tt Or Mo^2R^2w/sqrt(1-v^2/c^2) = Tt, {I put M=Mo/sqrt(1-v^2/c^2} Replacing Rw for v and solving, I get w = T^2t^2c/sqrt(c^2*Mo^2*R^4 + T^2*t^2*R^2). I am not sure about this. Please check. Thanks.
 Mar 19th 2009, 01:32 AM #3 Physics Team   Join Date: Feb 2009 Posts: 1,425 It is simpler actually. The max allowed vel is c vel of light. So c = 1 x w or w = c rad/sec.

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