How to calculate angular acceleration of crankshaft?

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Discussion Overview

The discussion revolves around calculating the angular acceleration of a crankshaft in the context of a university project. Participants explore the relationship between angular velocity, torque, and pressure in the engine's cylinders, considering both theoretical and practical aspects of the problem.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses doubt about the possibility of calculating angular acceleration solely from angular velocity derived from RPM.
  • Another participant suggests that the mean change of angular velocity could be related to car performance figures and proposes using a smartphone accelerometer for reasonable accuracy.
  • A participant mentions the need to establish torque from the crankshaft to derive cylinder pressure, questioning whether pressure could be calculated from molecular weight instead.
  • Concerns are raised about the complexity of determining cylinder pressure, which depends on factors like fuel-air mixture and engine breathing, with a suggestion to consult an enthusiast group for assistance.
  • One participant describes their process of estimating cylinder pressure at different crank angles and calculating the fuel-air gas mixture, indicating a blend of theoretical and practical work.

Areas of Agreement / Disagreement

Participants exhibit a mix of uncertainty and differing approaches regarding the calculation of angular acceleration and the factors influencing it. There is no consensus on a definitive method or solution.

Contextual Notes

Participants acknowledge limitations in their approaches, including assumptions about pressure changes, the complexity of engine dynamics, and the lack of practical testing before project submission.

Angus Keiller
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Hello. I am currently undergoing a university project and require the angular acceleration of a crankshaft? I only know the angular velocity from the RPM and I have strongly considered that it is not possible. Just looking for some reassurance? Cheers
 
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If you are referring to the (short term) mean change of angular velocity as the engine revs increase as the car accelerates then that would relate directly to the angular velocity information and the car's performance figures. A smart phone acccelerometer would give you acceleration to a reaonable accuracy. You could get an idea about the instantaneous acceleration (within the cycle) if you knew the pressure in all the cylinders (over time) and the masses of all the pistons plus the moment of intertia of the flywheel. I imagine that would be a 'small' value, by design, as it would represent a source of vibration and the flywheel's job is partly to suppress it.
 
The engine has been overhauled and is currently in pieces haha. The primary reason for this is to establish the torque of the crankshaft and from that I can derive the pressure in the cylinder. The pressure will change rapidly as the piston moves up and down obviously. Or could I derive the pressure from the molecular weight etc and work down instead of up?
 
This sounds very hard and very basic. The pressure in the cylinder will depend upon the fuel air mixture and how well the engine breathes etc etc. I wouldn't know where to start without approaching an enthusiast group - who would probably be delighted to get involved with a project like yours.
But this is a University project so why not ask your supervisor? To be honest, I am not sure, from what you write, whether this is a theory based exercise or a measurement question. Will you have a test bench to run the engine on?
 
What I have now done is estimated the pressure in the cylinder at different crank angles assuming atmospheric pressure when the piston is at the bottom of its stroke (180 degrees) for that very brief period of time while the inlet valve opens. I have then calculated a fuel-air gas mixture of mass 1.83kg (ratio 15:1) and established a density at the different volumes inside the cylinder. I am now trying to establish the torque in the crankshaft from the pressure on the piston! (Fingers crossed)
It is a mixture of theory and practical from which I am now working on the theory. The engine will not be tested before the project is due which is a bit annoying but since its a rover v8... something to look forward to ;)
 

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