A uniform cross$-$section conductor has a resistance of $2.$ The conductor is used to make a rectangular $24$ cm x $20$ cm loop. The loop is rotated in a uniform magnetic field of $8$ T with a rotational speed of $3,240$ rpm$.$The axis of rotation passes through the mid$-$points of two opposite sides of the ractangular loop, and is perpendicular to the magnetic field.$$

At time instant t $=0$ ms$,$ the plane of the loop is perpendicular to the magnetic field.$$

Assume that there are no losses. Therefore, at any time instant, all the mechanical power delivered to the loop is converted into electrical power which is all converted into thermal power. The rotating loop is cooled at a rate that keeps the loop temperature at a constant value. How much mechanical power is delivered to the loop at t $=3$ ms$?$

Calculate the answer in the units of kilo$-$watt $($kW$).$

Write your answer in decimal form with two digits to the right of the decimal point $($e$.$g$.5\mathrm{.}37)$; do not write any units or sign.$$

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Please note:

rpm $=$ revolutions per minute

ms $=$ milli$-$second