If a disk rolls smoothly across a floor, how is the velocity of the center related to the angular velocity of the disk?

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22-08-2022
Physics

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If a disk rolls smoothly across a floor, how is the velocity of the center related to the angular velocity of the disk?

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Yakavi Yakavi · Answer 1 · 2022-08-27T10:16:37+02:00

If a disk rolls smoothly across a floor, then the velocity of the center related to the angular velocity of the disk is equal to the product of the angular velocity and the radius of the disk.

Formula for this variation:

v = ω × r, where ω = Δ∅ / Δt

∴ ω = angular velocity,

Δ∅ = change in angular rotation,

Δt = change in time,

Angular velocity can be defined as time rate at which an object rotates, or revolves, about an axis or at which the angular displacement between two bodies changes.

To learn more about Angular velocity here

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