What is the Minimum Time for Acceleration in an Auto Engine Power Problem?

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SUMMARY

The discussion centers on calculating the minimum time for a car to accelerate from rest to 29.1 m/s given a maximum engine power of 92.4 kW and a mass of 1230 kg. The theoretical minimum time calculated using the formula t = W/P is 5.64 seconds, while the actual measured time is 12.3 seconds. The discrepancy is attributed to the unaccounted friction force affecting the acceleration.

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Homework Statement


An auto manufacturer reports that the maximum power delivered by the engine of a car of mass 1230 kg is 92.4 kW. Find the minimum time in which the car could accelerate from rest to 29.1 m/s. In a test the time to do this is found to be 12.3 s. Account for the difference in this time.

Homework Equations


P = W/t
Work-KE theorem

The Attempt at a Solution


t = \frac{W}{P}
= \frac{.5(1230)(29.1)^{2}}{92.4(10^{3})}
= 5.64s

The difference in time is due to not accounting for friction force.
 
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