A piston cylinder device containing a fluid is filed with a

A piston cylinder device containing a fluid is filed with a paddle wheel smiting device operated by the fall of an external weight of mass 52 kg. As the mass drops by a height of 6.5 m, the paddle wheel makes 11000 revolutions. Meanwhile the free moving piston (frictionless and weightless) of 0.54 m diameter moves out by a distance of 0.75 m. Part A Find the w_net for the system if the pressure outside is 101 kPa

Solution

In this case

Potential energy = m*g*h = 52*9.81*6.5 = 3315.78 j

and displacement work by piston = p*dv = 101*1000*(3.14/4)*(0.54)*(0.54)*(0.75) = 13004.722125 j

Wnet = 3315.78 + 13004.722125 = 16320.50212 j