An object moves in one dimension according to the function x(t)=13at3, where a is a positive constant with units of ms3. During
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As per Faraday's law of induction we know that induced EMF in a conducting closed loop is equal to rate of change in flux in that loop
So here we have
now when we move out a coil from magnetic field then in this case there will be EMF induced in that coil as here magnetic flux is changing with time linked with the coil.
Now this induced voltage will remain constant if coil is moved out uniformly
But it will not remain constant if coil is moved out with non uniform speed
So this statement is not always true
so answer must be
<u>FALSE</u>
First of all we need to convert everything into SI units.
Let's start with the initial angular speed,
. Keeping in mind that
we have
And we should also convert the angle covered by the centrifuge:
This is the angle covered by the centrifuge before it stops, so its final angular speed is
.
To solve the problem we can use the equivalent of
of an uniformly accelerated motion but for a rotational motion. It will be
And by substituting the numbers, we can find the value of
, the angular acceleration:
Let's start with the initial angular speed,
we have
And we should also convert the angle covered by the centrifuge:
This is the angle covered by the centrifuge before it stops, so its final angular speed is
To solve the problem we can use the equivalent of
of an uniformly accelerated motion but for a rotational motion. It will be
And by substituting the numbers, we can find the value of