A stone of mass 2 kg is tied to a string of length 0.5 m It the breaking tension of the string

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A stone of mass 2 kg is tied to a string of length 0.5 m...

A stone of mass $2 \mathrm{~kg}$ is tied to a string of length $0.5 \mathrm{~m}$ It the breaking tension of the string is $900 \mathrm{~N}$, then the maximum angular velocity the stone can have in uniform circular motion is (A) $30 \mathrm{rad} / \mathrm{s}$ (B) $20 \mathrm{rad} / \mathrm{s}$ (C) $10 \mathrm{rad} / \mathrm{s}$ (D) $25 \mathrm{rad} / \mathrm{s}$

A stone of mass $2 \mathrm{~kg}$ is tied to a string of length $0.5 \mathrm{~m}$ It the breaking tension of the string is $900 \mathrm{~N}$, then the maximum angular velocity the stone can have in uniform circular motion is
(A) $30 \mathrm{rad} / \mathrm{s}$
(B) $20 \mathrm{rad} / \mathrm{s}$
(C) $10 \mathrm{rad} / \mathrm{s}$
(D) $25 \mathrm{rad} / \mathrm{s}$

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Key Concepts

Uniform Circular Motion

Uniform circular motion refers to the movement of an object along a circular path at a constant speed. Despite a constant speed, the object experiences a continuous change in the direction of velocity, which results in centripetal acceleration directed toward the center of the circle.

Centripetal Force

Centripetal force is the net force acting on an object moving in a circular path that directs it toward the center of the circle. It is essential for maintaining circular motion and is typically provided by forces such as tension, gravity, or friction.

Angular Velocity

Angular velocity measures the rate at which an object rotates or moves around a circular path. It relates to the linear velocity of the object by the equation v = ?r, where ? is the angular velocity and r is the radius of the circular path.

Tension and Breaking Limit

Tension is the force transmitted through a string or rope when it is pulled tight by forces acting from opposite ends. In circular motion scenarios, the tension in the string provides the necessary centripetal force to keep the object moving along its path. The breaking tension is the maximum force the string can endure before failing, which sets an upper limit on the forces—and hence the angular velocity—that can be achieved without breaking the string.

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