# Answer to Question #73808 in Mechanics | Relativity for Ahmed Raza

Question #73808

If a gymnast sitting on a stool with his arms stretched lower his arms then what happened with angular speed

Expert's answer

We know , L = I. ω …………………………..(1)

Where, L = angular momentum ; I = moment of Inertia ; ω = angular speed

Now when the gymnast sitting on a stool with his arms stretched lower the moment of inertia will decrease. Again we know total angular momentum is constant.

So, as per equation (1), L is constant, I (moment of inertia) will decrease then ω must be increased.

Answer: Angular speed will increased.

Where, L = angular momentum ; I = moment of Inertia ; ω = angular speed

Now when the gymnast sitting on a stool with his arms stretched lower the moment of inertia will decrease. Again we know total angular momentum is constant.

So, as per equation (1), L is constant, I (moment of inertia) will decrease then ω must be increased.

Answer: Angular speed will increased.

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