A single cylinder four stroke engine operating at 80% of mechanical efficiency develops a brake power of 60 kW. The indicated power and the power lost due to friction respectively are 

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ESE Mechanical 2014 Official Paper - 1
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  1. 40 kW and 15 kW
  2. 75 kW and 20 kW
  3. 40 kW and 20 kW
  4. 75 kW and 15 kW

Answer (Detailed Solution Below)

Option 4 : 75 kW and 15 kW
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Detailed Solution

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Concept:

\(Indicated\;power\;\left( {I.P} \right) = \frac{{Brake\;power\;\left( {BP} \right)}}{{{\eta _{mech}}}}\)

Frictional power (F.P) = Indicated power (I.P) – Brake power (B.P)

Calculation:

Given:

Brake power = 60 kW, ηmech = 80 % = 0.8

Now,

\(I.P = \frac{{BP}}{{{\eta _{mech}}}}\)

\(I.P. = \frac{{60}}{{0.8}}\)

Indicated power (I.P.) = 75 kW

Now,

F.P = I.P – B.P = 15 kW

∴ Power lost due to friction is 15 kW
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