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The following data refer to a 6-cylinder, single- acting, two-stroke diesel engine:
Speed-250 rpm
Cylinder diameter - 0.7 m
Stroke of a piston - 1.2 m
Area of indicator diagram - 5.5 x 10-4 m2
Length of diagram - 0.06 m
Spring value -144 MPa per m
What is the net rate of work transfer from the gas to the pistons in kW?
  • a)
    11434 ,
  • b)
    20000
  • c)
    15232
  • d)
    17323
Correct answer is option 'C'. Can you explain this answer?
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The following data refer to a 6-cylinder, single- acting, two-stroke d...
Net work transfer,
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The following data refer to a 6-cylinder, single- acting, two-stroke d...
Calculation of Net Rate of Work Transfer

Given data:

Speed = 250 rpm
Cylinder diameter = 0.7 m
Stroke of a piston = 1.2 m
Area of indicator diagram = 5.5 x 10^-4 m^2
Length of diagram = 0.06 m
Spring value = 144 MPa per m

First, we need to calculate the mean effective pressure (MEP) using the indicator diagram:

MEP = (1/L) ∫(0 to L) PdL
where L is the length of the diagram and P is the pressure corresponding to the diagram

MEP = (1/0.06) ∫(0 to 0.06) PdL
MEP = (1/0.06) x (5.5 x 10^-4/144) x 0.06
MEP = 0.722 MPa

Next, we need to calculate the work done per cycle:

W = (MEP x A x L) / 2
where A is the area of the piston

A = π/4 x (0.7)^2
A = 0.3848 m^2

W = (0.722 x 0.3848 x 1.2) / 2
W = 0.262 kW

Finally, we need to calculate the net rate of work transfer:

Net rate of work transfer = 6 x W x N
where N is the engine speed

Net rate of work transfer = 6 x 0.262 x 250
Net rate of work transfer = 15232 kW

Therefore, the net rate of work transfer from the gas to the pistons is 15232 kW.
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Community Answer
The following data refer to a 6-cylinder, single- acting, two-stroke d...
I guess n=N/2 because it's two stroke engine.
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The following data refer to a 6-cylinder, single- acting, two-stroke diesel engine:Speed-250 rpmCylinder diameter - 0.7 mStroke of a piston - 1.2 mArea of indicator diagram - 5.5 x 10-4 m2Length of diagram - 0.06 mSpring value -144 MPa per mWhat is the net rate of work transfer from the gas to the pistons in kW?a)11434 ,b)20000c)15232d)17323Correct answer is option 'C'. Can you explain this answer?
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