Answer:
it will take [tex]t=\frac{\omega -\omega _0}{\alpha }[/tex] to reach its final rotating speed
Explanation:
Let initially the turntable is at rest
So its initial angular velocity will be [tex]\omega _0=0rad/sec[/tex]
Let the turn table is rotating with an angular acceleration [tex]\alpha[/tex]
According to first equation of motion
We know that [tex]\omega =\omega _0+\alpha t[/tex] , here [tex]\omega[/tex]
So [tex]t=\frac{\omega -\omega _0}{\alpha }[/tex]
So it will take [tex]t=\frac{\omega -\omega _0}{\alpha }[/tex] to reach its final rotating speed
