Calculating Brake Power: RPM & Cycles to Nm Conversion

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Discussion Overview

The discussion revolves around calculating brake power using the formula brake power = 2(pi)NT, specifically focusing on converting cycles to RPM for a four-stroke engine and clarifying the units of the variables involved in the formula.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant presents the formula for brake power and provides specific figures for RPM and cycles, seeking clarification on converting cycles to RPM.
  • Another participant confirms that the division by 0.5 is necessary due to the four-stroke nature of the engine, as work is produced every other stroke.
  • A participant explains that the units of N depend on the units of power, indicating that if power is in Watts, N should be in revolutions per second.
  • One participant attempts to compute N using the provided figures, suggesting a formula for conversion but later corrects their calculation.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of dividing by 0.5 for the four-stroke engine and the relationship between units of power and torque. However, there is no consensus on the final calculation of N, as one participant corrects their earlier computation.

Contextual Notes

There are unresolved details regarding the assumptions made in the calculations, particularly concerning the conversion of cycles to RPM and the implications of the four-stroke engine design.

Kalgoolie
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Hi,

I have the following formula: brake power = 2(pi)NT

I also have the following figures: RPM (instant) = 3550rpm and N° of cycles over 30secs = 880.

The engine is four stroke-one cylinder. Just wondering how do I covert the number of cycles to RPM?
I have divided by 0.5 because it was for half a minute (30secs) but it seems I have to divide by 0.5 again is that because it is a four-stroke cycle?

And in the brake power formula what is the units of N if T is in Nm.
CHEERS!
 
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Kalgoolie said:
I have divided by 0.5 because it was for half a minute (30secs) but it seems I have to divide by 0.5 again is that because it is a four-stroke cycle?

Yes. Your engine only produces work every other stroke.

And in the brake power formula what is the units of N if T is in Nm.

Well that depends what your units of power are.

Power (in Watts) is Torque (in Newton Metres) times angular speed (in radians per second).

Since the R.H.S of the equation you quoted multiplies the speed by 2 Pi, units of speed would be revolutions per second, if power was in Watts.

Ok?
 
To compute :

N = 3550 divide by 30 times 1/2 = rps unit then the unit of brake power is in watts if the torque is in Nm.

Hope this will help...
 
Correction to my post:

N = 3550 divide by 30 = rps unit then the unit of brake power is in watts if the torque is in Nm.
 

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