Question

if a sphere was to rollwhat would be the ratio of its rotational kinetic energyand total kineticenergy?With mathematical explain.​

Answer 1

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Rotational kinetic energy can be expressed as: Erotational=12Iω2 E rotational = 1 2 I ω 2 where ω is the angular velocity and I is the moment of inertia around the axis of rotation. The mechanical work applied during rotation is the torque times the rotation angle: W=τθ W = τ θ .

The SI unit for rotational kinetic energy is the joule (J). The form of the rotational kinetic energy formula is analogous to the translational kinetic energy equation; moment of inertia plays the role of mass, and angular velocity replaces linear velocity.

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