How do I calculate the efficiency of a propeller using acceleration and voltage?

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SUMMARY

This discussion focuses on calculating the efficiency of a propeller used to propel a trolley at varying voltages. The user successfully measured acceleration over a 30cm track to determine the force produced by the propeller, factoring in friction using the formula weight x Mu. To calculate efficiency, the user needs to compute the energy gained by the trolley, which can be derived from the final kinetic energy formula (1/2)mv², where v is the final speed obtained from acceleration and time. The discussion emphasizes the importance of understanding kinetic energy in relation to variable speeds during the trolley's motion.

PREREQUISITES
  • Basic physics concepts, specifically Newton's laws of motion
  • Understanding of kinetic energy and its calculation
  • Familiarity with acceleration and its relationship to force
  • Knowledge of friction and its impact on motion
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  • Research the relationship between voltage and power output in electric motors
  • Learn about calculating work done by forces in non-constant speed scenarios
  • Explore advanced concepts in fluid dynamics as they relate to propeller efficiency
  • Investigate methods for measuring and minimizing friction in mechanical systems
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Engineers, physics students, and hobbyists involved in robotics or model propulsion systems who are interested in optimizing propeller efficiency and understanding the dynamics of motion.

Kris2456
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For a project i had to make a propeller that pushes along a small trolley at different voltages.

I made the propeller and buggy, and i lay them on a wooden track. Using the time taken to accelerate across the 30cm track, i was able to find the acceleration, and hence the force that the propeller produces at that voltage.

Of course, to this i can add friction which is the weight of the trolley x Mu so as to find the total force that the propeller produces.

I also have to find the efficiency of the propeller. Now i know the Energy produced by the powerpack is V x A x t. But i am not sure how to find out how much energy was gained by the trolley during the time it took to cross the track. Can anyone help (bear in mind it is not traveling at a constant speed).

Thanks.
 
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If you found the acceleration, then the final speed is just the (constant) acceleration multiplied by the time. Since the initial speed was 0, the energy gained by the trolley is its final kinetic energy: (1/2)mv2 where v is the final speed.
 
Oh of course!
I forgot that the kinetic energy is equal to the speed at that point, not overall!
 

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