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If two objects attached at end is their angula velocity remain same


Ankita Mohanty 22nd Apr, 2025
Answer (1)
Saurabh Yadav 27th Apr, 2025

Hii,

If two objects are attached at the ends of a rigid body (like a rod or wheel), yes, their angular velocity remains the same.

Here's why:

  • Angular velocity refers to how fast something is rotating (angle per unit time), not how fast it's moving in a straight line.

  • In a rigid body, all points rotate with the same angular velocity around the axis of rotation.

  • Even if the two objects are at different distances from the axis, their linear (tangential) velocities will be different, but their angular velocities will be the same.


Example:

Imagine two balls attached to the ends of a rotating stick:

  • The stick rotates about its center.

  • Both balls complete one full circle in the same amount of time.

  • So, both have the same angular velocity (say, 2π radians per second).

  • But the ball farther from the center travels a longer path in the same time → it has a higher linear speed, not angular speed.

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