Find the power an electric motor

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SUMMARY

The discussion focuses on calculating the power required for an electric motor to propel a man and his bike up a hill with a slope of (√3/3) at a constant velocity (v). Key steps include determining the angle of the hill, calculating the acceleration of the bike, and using the formula for work, which is force times distance. The final power calculation is derived from the relationship Power = Work / Time, where Work is expressed as Force times Distance divided by Time, assuming constant force and velocity.

PREREQUISITES
  • Understanding of basic physics concepts such as force, work, and power
  • Knowledge of kinematics, specifically acceleration and velocity
  • Ability to perform calculations involving slopes and angles
  • Familiarity with the relationship between distance, time, and velocity
NEXT STEPS
  • Study the principles of Newton's Second Law of Motion to understand force and acceleration
  • Learn about the work-energy theorem to deepen knowledge of work and power calculations
  • Explore trigonometry to effectively calculate angles and slopes in physics problems
  • Investigate the concept of constant velocity and its implications in mechanical systems
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in the design or analysis of electric motor systems for bicycles or similar vehicles.

Monsu
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hi, i need just a formula to go ahead with this. I am given two masses, m1 of man, and m2 of his bike. he is going up a hill with slope (sqroot3/3) and velocity (v). Now I need to find the power an electric motor would need to have for the man to b able to ride his bike up without pedalling.
Power = energy / time, right? how can i find the time? pls help urgently! :rolleyes:
 
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1) First, you must find the angle that the hill makes. Actually, you might be able to skip this step, but I couldn't and still logically produce the rest of the equation.

2) Secondly, find the acceleration on the bike.

3) Now you know the force (since you know the mass and acceleration), you can find the work involved in moving the bike any incremental distance.

4) To find the power, substitute velocity for distance in the work equation.

I believe this will provide you with the correct answer.
 
I just thought of another way to look at this:

Assuming these variable are constant enough for an integral to be a multiple,

Work is force times distance.

Velocity is distance divided by time.

Power is work divided by time. Therefore Power is force times distance divided by time.

This type of thinking ONLY works because force and velocity are constant. Since they are, though, it works :-p
 

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