And what of w what's the units

Physics

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Answer

rad/s\text{rad/s}

The unit for ω\omega (omega), which represents angular velocity, is radians per second (rad/s).

This unit comes directly from its definition:

ω=ΔθΔt\omega = \frac{\Delta \theta}{\Delta t}

where Δθ\Delta \theta is the angular displacement (measured in radians) and Δt\Delta t is the time interval (measured in seconds).

Therefore, the unit of angular velocity is radiansseconds\frac{\text{radians}}{\text{seconds}}, or rad/s\boxed{\text{rad/s}}.

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