Question

Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of t?

Answer 1

it will take
`t=(\omega -\omega _0)/(\alpha )` to reach its final rotating speed

Step-by-step explanation:

Let initially the turntable is at rest

So its initial angular velocity will be
`\omega _0=0rad/sec`

Let the turn table is rotating with an angular acceleration
`\alpha`

According to first equation of motion

We know that
`\omega =\omega _0+\alpha t` , here
`\omega`

So
`t=(\omega -\omega _0)/(\alpha )`

So it will take
`t=(\omega -\omega _0)/(\alpha )` to reach its final rotating speed