Calculating Average Power for 1170 kg Car

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SUMMARY

The discussion focuses on calculating the average power developed by a 1170 kg car that accelerates uniformly to 10 m/s in 16.1 seconds, while overcoming a constant air resistance of 302 N. The initial calculation for average power based solely on kinetic energy yields approximately 3633.54 watts. However, it is essential to account for the work done against drag by determining the distance traveled during acceleration. This additional work must be included to accurately calculate the total average power output of the engine in horsepower.

PREREQUISITES
  • Understanding of basic physics concepts such as work, power, and kinetic energy
  • Familiarity with the formula for calculating work: W = F × d
  • Knowledge of unit conversions, specifically between watts and horsepower
  • Ability to calculate average speed and distance from acceleration data
NEXT STEPS
  • Calculate the distance traveled by the car during the 16.1 seconds of acceleration
  • Determine the total work done against drag using the formula W = F × d
  • Combine the work done to overcome drag with the kinetic energy to find total work
  • Convert the total average power from watts to horsepower for final results
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and power calculations.

kmikias
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Hi guys i have a question on power and work i guess you gone help me out here is the question.

1.A 1170 kg car starts from rest and accelerates uniformly to 10 m/s in 16.1 s . Assume that air resistance remains constant at 302 N during this time.Find the average power developed by the engine. Answer in units of hp.

here is what i did

Power = work / time
so average power = KE/t



work = 1/2 . mv^2
work= 1/2 * 1170 * 10^2
= 29250 J

so Power = W/t = 29250 J/ 16.1
= 3633.5403 w
after that i changed watt to hp.
 
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Ok, good... you calculated the average power to accelerate the vehicle. But what about the work done to overcome drag? You have a nice constant 302N drag over this time. If you have force over a distance you can find work. Can you determine the distance the car went? Once you have work done by the air on the vehicle, divide by time to find average power.
 

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