The angular speed of truck wheel is increased from 900rpm to...

The angular speed of truck wheel is increased from $900rpm$ to $2460rpm$ in $26$ seconds. The number of revolutions by the truck engine during this time is ______.

(Assuming the acceleration to be uniform).

Correct answer

Step-by-step solution

We know, $\theta = \left(\dfrac{{\omega}_{1} + {\omega}_{2}}{2}\right)t$

Let number of revolutions be $N$

$∴ 2\piN = 2\pi\left(\dfrac{900 + 2460}{60 \times 2}\right) \times 26$

$N = 728$

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