Math Problem Statement
Solution
The uploaded image contains a set of mathematical and engineering questions related to a diesel engine's efficiency, output power, and cylinder gas volume. Let me analyze each question and provide explanations:
k) Mikä on tyypillinen dieselmoottorin hyötysuhde?
The efficiency of a diesel engine typically varies, but the question mentions using "parhaimmillaan" 40%. In real-life conditions, the efficiency usually falls below 30% due to non-optimal operational conditions.
l) Hyötysuhteella laskettuna, mikä on hyötyteho renkailla? (16.2 kW)
To calculate the effective power delivered to the wheels based on efficiency:
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Formula:
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Given:
- Total output power = 16.2 kW
- Efficiency () = assumed 30% (or 0.3 in decimal form)
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Substitution:
The power at the wheels is 4.86 kW.
m) Mikä on sylinterin kaasutilavuus, kun mäntä on alhaalla?
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Formula:
-
Given:
- Total displacement = 1364 cm³
- Number of cylinders = 4
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Substitution:
The gas volume for one cylinder is 341 cm³.
Let me know if you'd like detailed explanations for any step! 😊
Related Questions:
- How is the efficiency of a diesel engine compared to a gasoline engine, and why?
- If the engine's efficiency dropped to 25%, what would the power delivered to the wheels become?
- How does cylinder gas volume affect engine compression ratio and performance?
- What factors cause the real efficiency of diesel engines to drop below their theoretical value?
- How would the output power at the wheels change if the engine's efficiency increased to 40%?
Tip:
When calculating efficiency, always consider losses in the system (e.g., thermal, mechanical) to ensure realistic estimates.
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Math Problem Analysis
Mathematical Concepts
Efficiency Calculation
Power Output Calculation
Cylinder Gas Volume
Formulas
Power at wheels = Engine power × Efficiency
Cylinder gas volume = Displacement volume / Number of cylinders
Theorems
Efficiency of a Diesel Engine
Thermodynamics in Engine Systems
Suitable Grade Level
Grades 10-12
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