If the disk is released from rest, Angular velocity (ω) of the disk is [tex]245\frac{rad}{s}[/tex]
In physics, the angular velocity or rotational velocity (ω or Ω) is also known as the angular frequency vector, is the rate at which an object's angular position or orientation changes over time (i.e., the object's rotation speed is a pseudo-vector representation. or spin relative to a point or axis).
The magnitude of the pseudovector represents the angular velocity, i.e. the speed at which the object rotates or rotates, and its direction is perpendicular to the current plane of rotation or angular displacement. Angular velocity direction is conventionally given by the right-hand rule.
Calculation :
Given : M = 2kg, t = 3s, r = 80mm
solution :
[tex]0 + Mgrt = \frac{3}{2} Mr^{2}[/tex]ω
ω = [tex]\frac{2}{3} (\frac{g}{r} ) t[/tex]
ω = [tex]245\frac{rad}{s}[/tex]
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