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10-03-2017
01:28 PM

10-03-2017
01:28 PM

Integrating pressure vs volume in terms of angle theta

I'm trying to find the work done to compress a gas by integrating a pressure-volume graph in terms of the crank angle of a piston. When using the integral function in Mathcad, an error comes up saying that these units are not comparable for p(theta). Any help would be appreciated.

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10-03-2017
03:12 PM

10-03-2017
03:12 PM

Re: Integrating pressure vs volume in terms of angle theta

Looks like you must be using Prime 4.0. Many of us can't open Prime 4.0 files. Coudl you also attach a PDF or screen shot?

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10-03-2017
03:38 PM

10-03-2017
03:38 PM

Re: Integrating pressure vs volume in terms of angle theta

You are integrating over angle, so the units of the limits should be angle. You have units of volume.

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10-04-2017
02:32 AM

10-04-2017
02:32 AM

Re: Integrating pressure vs volume in terms of angle theta

Hi,

You can eliminate the two Solve blocks with direct calculation if you want to streamline the sheet.

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10-04-2017
11:37 AM

10-04-2017
11:37 AM

Re: Integrating pressure vs volume in terms of angle theta

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10-03-2017
04:11 PM

10-03-2017
04:11 PM

Re: Integrating pressure vs volume in terms of angle theta

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10-20-2017
10:19 AM

10-20-2017
10:19 AM

Re: Integrating pressure vs volume in terms of angle theta