prove that angular momentum if a particle is equal to twice the product of mass amd areal velocity
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Prove that angular momentum of particle is twice the product of its mass and areal velocity?
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we know that angular momentum= mass*velocity*radius
L=mvr
L=2m*(v*r/2)
L=2m*((dr/dt)*r/2)
L=2m*(dr^2/dt)
(as area =r^2)we can replace d^2r/dt as area (A)
L=2m*(dA/dt)
dA/dt=areal velocity
hence proved
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