Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of 1.75×106N/m2 (about 250 psi) to a piston with a 0.200-m radius. (a) By calculating PΔV , find the work done by the steam when the piston moves 0.800 m. Note that this is the net work output, since gauge pressure is used.

Respuesta :

Answer:

Work done, [tex]W=1.75\times 10^5\ J[/tex]      

Explanation:

It is given that,

Pressure of the stream, [tex]P=1.75\times 10^6\ N/m^2[/tex]

Radius of the piston, r = 0.2 m

Distance moved by the piston, h = 0.8 m

Work done in terms of pressure is given by :

[tex]W=P\Delta V[/tex]

[tex]\Delta V[/tex] is the volume of cylinder

[tex]W=P\Delta \pi r^2 h[/tex]

[tex]W=1.75\times 10^6\times \pi 0.2^2\times 0.8[/tex]        

W = 175929.18 J

or

[tex]W=1.75\times 10^5\ J[/tex]

So, the work done by the stream is [tex]1.75\times 10^5\ J[/tex]. Hence, this is the required solution.  

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