Many car calculations, including torque and peak power

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SUMMARY

This discussion focuses on calculating torque, peak power, and work done for a car with a total mass of 680 kg, including four wheels weighing 22.67 kg each. The user is seeking clarification on whether to include the weight of the car in torque calculations and the definition of peak power. Key parameters include a wheel radius of 0.203 m, an acceleration of 26.82 m/s², and an angular acceleration of 16.5 rad/s². The conversation emphasizes the importance of understanding the relationship between force, acceleration, and power in automotive physics.

PREREQUISITES
  • Basic understanding of torque and angular acceleration
  • Familiarity with Newton's second law of motion
  • Knowledge of power calculations in physics
  • Concept of moment of inertia in rotational dynamics
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  • Calculate torque using the formula: Torque = Moment of Inertia × Angular Acceleration
  • Research the definition and calculation of peak power in automotive contexts
  • Explore the relationship between work done, force, and distance traveled
  • Investigate the effects of weight distribution on torque calculations
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Automotive engineers, physics students, and anyone interested in understanding vehicle dynamics and performance calculations.

SoftwareEng
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I need to calculate a number of things:
1. the torque of the wheels.
2. The peak power, i am assuming it means of the wheels
3. the work done.

i know:
total mass (car+wheel): 680kg.
mass of wheel: 22.67kg
there are 4 wheels.
radius of each wheel = .203m
time: 8s.
acceleration: 26.82m/s^2
angular acc: 16.5 rad/s^2 (i calculated this, but am fairly certain it is correct)

assumptions

4 wheel drive, so equal output from each wheel
no air resistance.
no rolling friction
even weight distribution on the four wheels.
what i don't understand/ need help with:

1.I attempted to calculate the torque useing the moment of innertia and the angular acceleration, but i am uncertain if i need to use only the weight of the wheel, or of that plus the weight that would be on the wheel.

2. I don't know exactly what peak power is, as it is never explained in the book. I assume its the maximum amount of power, so it would be when the speed is the greatest. if this is not the case, equations would be great.

That is about all. If i am pointed in the right direction on those areas, i should be able to find work done.

EDIT:
I'm not looking for answers, just what i should be doing.
 
Last edited:
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Welcome to PF, SoftwareEng.
I would find the torque from the force on the wheel and its radius. The force is whatever is needed to cause the acceleration of the car.

For the power, you could consider one second or one meter of the motion and calculate the work done. I think you will find that you need the velocity (to find the d if you start with a t or vice versa), indicating that the power depends on the velocity. Were you given the maximum speed for the car?
 

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