The new moment of inertia of the gymnast is 9kgm^2.
To find the answer, we need to know about the conservation of angular momentum.
What's conservation of angular momentum?
- It says the angular momentum of a rotating body remains conserved until an external torque is applied on it.
- Angular momentum= moment of inertia × angular velocity = I×w
What's the final moment of inertia of the gymnast, if his initial moment of inertia, initial angular velocity and final angular velocity are 6 kgm^2, 12rad/s and 8rad/s respectively?
- Let I₁= 6 kgm^2, w₁= 12rad/s, w₂= 8rad/s and I₂= final angular velocity
- From conservation of angular momentum,
I₁×w₁= I₂×w₂
I₂= I₁×w₁/w₂
= (6×12)/8
= 9kgm^2
Thus, we can conclude that the new moment of inertia of the gymnast is 9kgm^2.
Learn more about the moment of inertia here:
brainly.com/question/14460640
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