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As a dancer performs a pirouette on her toes and draws her hands closer and starts spinning faster. This can be explained using _____.

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Last updated date: 21st Jul 2024
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Answer
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Hint:In order to answer the question, to know the term by which a dancer performs a pirouette on her toes and draws her hands closer and starts spinning faster, we will explain the term numerically.

Complete answer:
As a dancer spins faster and executes a pirouette on her toes, she brings her hands closer together. The conservation of angular momentum can be used to illustrate this.
As she folds her arms and pulls her hands closely together, her moment of inertia decreases, and angular velocity increases to maintain angular momentum.

The conservation of angular momentum is analogous to the conservation of linear momentum in moving bodies. Angular momentum is a vector quantity whose conservation law states that unless a twisting force is applied, a rotating body or structure can continue to rotate at the same rate.It is the rotational analog of linear momentum, it is denoted by $l$, and angular momentum of a particle in rotational motion is defined as:
\[l\; = \;r\; \times \;p\]
The magnitude of a cross product of two vectors is always the product of their magnitude multiplied by the sine of the angle between them, so in the case of angular momentum, the magnitude is given by,
\[l\; = \;r\;p\;sin\theta \]

Note:According to the law of conservation of angular momentum, the earth has been pivoting on its hub structure since the formation of the nearby planetary group because of the law of conservation of angular momentum.