GATE ME 2019 Set 2 — Question 54
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Fluid Mechanics → Fluid Properties & Statics → Forces on Submerged Bodies
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Question
The aerodynamic drag on a sports car depends on its shape. The car has a drag coefficient of 0.1 with the windows and the roof closed. With the windows and the roof open, the drag coefficient becomes 0.8. The car travels at 44 km/h with the windows and roof closed. For the same amount of power needed to overcome the aerodynamic drag, the speed of the car with the windows and roof open (round off to two decimal places), is ______ km/h (The density of air and the frontal area may be assumed to be constant).
Correct answer
21.9 to 22.2
Solution
The power required to overcome aerodynamic drag is given by , where is the drag force. Thus:Given that power , air density , and frontal area are constant between the two cases:Substituting the given values:
- (closed)
- km/h
- (open)
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