First slide

Dynamics of uniform and non uniform circular motion

Question

The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the truck engine during this time is _____.
(Assuming the acceleration to be uniform).

Moderate

Solution

$θ = (\frac{ω_{1} + ω_{2}}{2}) t W h e n i t m o v e s w i t h u n i f o r m a n g u l a r a c c e l e r a t i o n = (\frac{900 \times \frac{2 π}{60} + 2460 \times \frac{2 π}{60}}{2}) 26 ∴ N u m b e r o f r e v o l u t i o n n = \frac{θ}{2 π} = (\frac{900 + 2460}{60 \times 2}) \frac{2 π (26)}{2 π} = 728$

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