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A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is
250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the
wind on the roof and the direction of the force will be :
(Pair = 1.2 kg/m3)
  • a)
    2.4 x 105 N, downwards
  • b)
    4.8 x 105 N, downwards
  • c)
    4.8 x 105 N,upwards
  • d)
    2.4 x 105 N, upwards
Correct answer is option 'D'. Can you explain this answer?
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A wind with speed 40 m/s blows parallel to the roof of a house. The ar...
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A wind with speed 40 m/s blows parallel to the roof of a house. The ar...
Given:
- Wind speed: 40 m/s
- Area of the roof: 250 m²
- Density of air (ρair): 1.2 kg/m³

To find:
- Force exerted by the wind on the roof
- Direction of the force

Solution:
1. Calculate the dynamic pressure:
The dynamic pressure (q) is given by the formula:
q = 0.5 * ρair * v²
where ρair is the density of air and v is the velocity of the wind.

Substituting the given values:
q = 0.5 * 1.2 kg/m³ * (40 m/s)²
q = 0.5 * 1.2 kg/m³ * 1600 m²/s²
q = 960 kg/m/s² or 960 Pa

2. Calculate the force:
The force (F) exerted by the wind on the roof is given by the formula:
F = q * A
where q is the dynamic pressure and A is the area of the roof.

Substituting the given values:
F = 960 Pa * 250 m²
F = 240,000 N

3. Determine the direction of the force:
Since the wind is blowing parallel to the roof, the force exerted by the wind on the roof will be in the same direction as the wind. In this case, the force will be upwards.

4. Answer:
The force exerted by the wind on the roof is 2.4 x 10^5 N and the direction of the force is upwards. Therefore, the correct answer is option D.
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A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by thewind on the roof and the direction of the force will be :(Pair = 1.2 kg/m3)a)2.4 x 105 N, downwardsb)4.8 x 105 N, downwardsc)4.8 x 105 N,upwardsd)2.4 x 105 N, upwardsCorrect answer is option 'D'. Can you explain this answer?
Question Description
A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by thewind on the roof and the direction of the force will be :(Pair = 1.2 kg/m3)a)2.4 x 105 N, downwardsb)4.8 x 105 N, downwardsc)4.8 x 105 N,upwardsd)2.4 x 105 N, upwardsCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by thewind on the roof and the direction of the force will be :(Pair = 1.2 kg/m3)a)2.4 x 105 N, downwardsb)4.8 x 105 N, downwardsc)4.8 x 105 N,upwardsd)2.4 x 105 N, upwardsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by thewind on the roof and the direction of the force will be :(Pair = 1.2 kg/m3)a)2.4 x 105 N, downwardsb)4.8 x 105 N, downwardsc)4.8 x 105 N,upwardsd)2.4 x 105 N, upwardsCorrect answer is option 'D'. Can you explain this answer?.
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