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The mechanical efficiency of a single-cylinder four-stroke engine is 80%. The frictional power is estimated to be 20 kW. What is the brake power developed by the engine?
  • a)
    80 kW
  • b)
    50 kW
  • c)
    70 kW
  • d)
    75 kW
Correct answer is option 'A'. Can you explain this answer?
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The mechanical efficiency of a single-cylinder four-stroke engine is 8...
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The mechanical efficiency of a single-cylinder four-stroke engine is 8...
Given:
- Mechanical efficiency of a single-cylinder four-stroke engine = 80%
- Frictional power = 20 kW

To Find:
- Brake power developed by the engine

Explanation:
The brake power developed by an engine is the power output available at the engine's crankshaft. It is the power that can be utilized by the engine for doing useful work.

The mechanical efficiency of an engine is given by the ratio of the brake power to the indicated power (power produced by combustion in the engine cylinder). Mathematically, it can be expressed as:

Mechanical Efficiency = (Brake Power / Indicated Power) * 100

Let's assume the indicated power of the engine is P.

Therefore, the brake power can be calculated using the formula:

Brake Power = (Mechanical Efficiency / 100) * Indicated Power

Calculation:
Given that the mechanical efficiency is 80% and the frictional power is 20 kW.

We can rearrange the formula to solve for the indicated power:

Indicated Power = (Brake Power * 100) / Mechanical Efficiency

Substituting the given values:

Indicated Power = (20 kW * 100) / 80% = (20 kW * 100) / 0.8 = 25000 W = 25 kW

Finally, substituting the indicated power into the formula for brake power:

Brake Power = (80% / 100) * 25 kW = 0.8 * 25 kW = 20 kW

Therefore, the brake power developed by the engine is 20 kW.

Answer:
The brake power developed by the engine is 20 kW, which corresponds to option A.
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