Question

Derieve expression that relates angular
momentum with the angular velocity of a rigid body


who can give me the answer I make him a braiest one and I can follow to me
then
quick​

Answer 1

Answer:

Angular momentum L= r×p

L=r×mv

L=m(r×v)

multiply and divide by r²

L=mr²(r×v)/r²

as mr²=I (moment of inertia) and (r×v)/r² =ω (angular velocity)

so L=Iω

Explanation:

For a rigid body, the angular momentum (L) is the product of the moment of inertia and the angular velocity: L = Iω.

For a point of mass, angular momentum can be expressed as the product of linear momentum and the radius ( r): L = mvr.

Hope this will help you :)