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Proof that angular momentum is conserved in in circular motion ?

Asked by rbhatt16 4th October 2017, 3:29 PM
Answered by Expert
The torque on a body is the rate of change of angular momentum.
begin mathsize 14px style straight tau equals dL over dt end style
Now, for a body performing circular motion
begin mathsize 14px style straight tau equals straight r with rightwards arrow on top cross times straight F with rightwards arrow on top equals rFsinθ equals rFsin 0 equals 0 end style
This is because the radius vector and the force (centripetal force) are along the same line.
If torque is zero, dL/dt = 0
This means L is a constant.
This is the proof of conservation of angular momentum.
Answered by Expert 25th October 2017, 2:36 PM
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