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A 1 :5 scale model of a passenger car is tested in wind tunnel. The prototype velocity is 50 km/h. if the model drag is 200 N, what is the power required to overcome the drag in the prototype? The air in the model and prototype can be assumed to have the same properties.
  • a)
    1.5 kW
  • b)
    2.78 kW
  • c)
    3.1 kW
  • d)
    3.5 kW
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 1 :5 scale model of a passenger car is tested in wind tunnel. The pr...
Reynolds similarity law is applicable 


∵ air is having same properties,
(Fm/Fp) - 1
∴ 
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Most Upvoted Answer
A 1 :5 scale model of a passenger car is tested in wind tunnel. The pr...
Given information:
Scale of the model = 1:5
Velocity of the prototype = 50 km/h
Drag on the model = 200 N

To find: Power required to overcome the drag in the prototype

Assumptions:
Air properties are the same for both prototype and model

Formula:
Power = Force x Velocity

Calculations:
1. Convert the velocity of the prototype from km/h to m/s
50 km/h = (50 x 1000) / (60 x 60) = 13.89 m/s

2. Calculate the velocity of the model
As per the scale, the velocity of the model will be 5 times less than the prototype
Velocity of the model = 13.89 / 5 = 2.778 m/s

3. Calculate the force on the prototype using the drag on the model
As per the scale, the force on the model will be 5 times less than the prototype
Force on the prototype = 200 x 5 = 1000 N

4. Calculate the power required to overcome the drag in the prototype
Power = Force x Velocity
Power = 1000 x 13.89 = 13890 W or 13.89 kW

5. Convert the answer to kW and round off to one decimal place
Power = 13.89 kW ≈ 2.8 kW

Therefore, the power required to overcome the drag in the prototype is 2.78 kW (approx). Hence, option (b) is the correct answer.
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A 1 :5 scale model of a passenger car is tested in wind tunnel. The prototype velocity is 50 km/h. if the model drag is 200 N, what is the power required to overcome the drag in the prototype? The air in the model and prototype can be assumed to have the same properties.a)1.5 kWb)2.78 kWc)3.1 kWd)3.5 kWCorrect answer is option 'B'. Can you explain this answer?
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A 1 :5 scale model of a passenger car is tested in wind tunnel. The prototype velocity is 50 km/h. if the model drag is 200 N, what is the power required to overcome the drag in the prototype? The air in the model and prototype can be assumed to have the same properties.a)1.5 kWb)2.78 kWc)3.1 kWd)3.5 kWCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 1 :5 scale model of a passenger car is tested in wind tunnel. The prototype velocity is 50 km/h. if the model drag is 200 N, what is the power required to overcome the drag in the prototype? The air in the model and prototype can be assumed to have the same properties.a)1.5 kWb)2.78 kWc)3.1 kWd)3.5 kWCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1 :5 scale model of a passenger car is tested in wind tunnel. The prototype velocity is 50 km/h. if the model drag is 200 N, what is the power required to overcome the drag in the prototype? The air in the model and prototype can be assumed to have the same properties.a)1.5 kWb)2.78 kWc)3.1 kWd)3.5 kWCorrect answer is option 'B'. Can you explain this answer?.
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