Question
Download Solution PDFA dancer is spinning on a rotating table with his arms extended, if he folds his arms then the angular velocity will:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Angular Momentum:
- It is the property of a rotating body given by the product of the moment of inertia and the angular velocity of the rotating object. It is a vector quantity
⇒ L = Iω
where I = moment of inertia and ω = angular velocity
EXPLANATION:
The angular momentum of a body is given as,
⇒ L = Iω
If the angular momentum is constant, then,
\(\Rightarrow \omega \propto\frac{1}{I}\) ---(1)
- Since there is no external torque is acting on the dancer, so his angular momentum will remain to conserve when he folds his arms.
- When the dancer folds his arms his moment of inertia decreases so the angular velocity increases. Hence, option 1 is correct.
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