How Do You Calculate the Power of a Car's Engine on an Incline?

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SUMMARY

The discussion focuses on calculating the power of a car's engine on an incline, specifically a car with a mass of 1500 kg and a maximum speed of 144 km/h on a 1 in 49 incline, facing a frictional resistance of 500 N. The calculation requires determining the opposing gravitational force and frictional force at steady state, where acceleration is zero. The work done by the engine is computed by considering both vertical displacement and frictional resistance, while neglecting typical frictional losses that reduce efficiency to approximately 25%.

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  • Understanding of basic physics concepts such as force, work, and power
  • Knowledge of gravitational force calculations on inclines
  • Familiarity with units of measurement, specifically converting km/h to m/s
  • Basic understanding of frictional forces and their impact on motion
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  • Learn how to calculate gravitational force on an incline using the formula F = m * g * sin(θ)
  • Study the relationship between power, work, and time in physics, specifically P = W/t
  • Explore the effects of friction on vehicle performance and how to calculate net forces
  • Investigate the impact of incline angles on vehicle dynamics and engine power requirements
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Engineering students, automotive engineers, and anyone interested in vehicle performance calculations, particularly in relation to inclines and power output.

adam112
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i have this question for an engineering science assignment, and can't remember how to work it out, any help would be greatly appreciated.

Question:
A car of mass 1500kg has a max speed of 144km/h up an incline of 1 in 49 against a frictional resistance of 500N. Calculate the power of the engine.
 
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Neglecting the usual frictional losses in the engine and drivetrain, air resistance, etc, which reduce auto efficiency to about 25%, it would seem at a steady state where acceleration=0, whatever force being generated is just equal to the opposing gravitational force and frictional force. I would think then that you need to look at the displacement, both vertical and against friction to compute the work done by the engine. Hope that's a help as one is supposed to show work prior to any major assistance being given.
 

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