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A 6.2-liter, V8, four-stroke, CI engine produces 214.9 kW at 4000 rpm. If the stroke-to-bore ratio is 1.2, calculate the average piston speed in m/s.

Answer :

The average piston speed in m/s IS 16.61 m/s.

To calculate the average piston speed, we'll use the formula:

Piston speed = [tex]\frac{2 \cdot \text{stroke} \cdot \text{rpm}}{60}[/tex]

Given:

- Engine displacement = 6.2 liters = 6.2 [tex]\times 10^{-3}\)[/tex]cubic meters,

- Power output = 214.9 kW,

- Engine speed (rpm) = 4000,

- Stroke-to-bore ratio = 1.2.

1. Calculate the stroke length:

S/B = [tex]\frac{L}{D}[/tex]

[tex]\[ L = (S/B) \times D \][/tex]

Given:

- Stroke-to-bore ratio S/B = 1.2,

- Bore (D) can be calculated using the displacement formula for a V8 engine:

D = [tex]\sqrt[3]{\frac{4 \times \text{displacement}}{\pi}}[/tex]

Substituting the given values:

[tex]\[ D = \sqrt[3]{\frac{4 \times 6.2 \times 10^{-3}}{\pi}} \][/tex]

[tex]\[ D \approx[/tex]0.1038m}

Then,

L = (1.2)[tex]\times[/tex] 0.1038 m}

[tex]\[ L \approx[/tex]0.1246m

2. Calculate the piston speed

Piston speed} = [tex]\frac{2 \cdot L \cdot \text{rpm}}{60}[/tex]

Substituting the given values:

Piston speed} =[tex]\frac{2 \times 0.1246 \, \text{m} \times 4000 \, \text{rpm}}{60}[/tex]

Piston speed= [tex]\frac{2 \times 0.1246 \times 4000}{60}[/tex]

Piston speed[tex]\approx[/tex] 16.61m/s

So, the average piston speed of the engine is approximately 16.61 m/s

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