A single cylinder, 4-stroke cycle engine is fitted with a rope brake. The diameter of the brake wheel is 600 mm and the rope diameter is 26 mm. The dead weight on the brake is 200 N and the spring balance reads 30 N. If the engine runs at 450 rpm, what will be the brake power of the engine?

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ESE Mechanical 2016 Paper 1: Official Paper
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  1. 1.5 kW
  2. 2.5 kW
  3. 3.5 kW
  4. 4.5 kW

Answer (Detailed Solution Below)

Option 2 : 2.5 kW
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ST 1: UPSC ESE (IES) Civil - Building Materials
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20 Questions 40 Marks 24 Mins

Detailed Solution

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Concept:

Break power: \(bp = \frac{{\pi DN\left( {W - S} \right)}}{{60}}watt\)

Where D = effective brake drum diameter

N = rpm

W = dead weight

S = spring balance reading

Calculation:

Given, D = 600 + 26 = 626 mm

N = 450 rpm

W = 200 N

S = 30 N

\(∴ bp = \frac{{3.14 \times 0.626 \times 450 \times \left( {200 - 30} \right)}}{{60,000}}\)

∴ b= 2.5062 kW
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