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The force on a curved place due to a jet of area 'a' velocity 'v' and angle of deflection 'o' is .
- a)rav2(1+ cos θ)
- b)rav2 (1 + sin θ)
- c)rav2 (1 – cos θ)
- d)rav2 (1-sin θ)
Correct answer is option 'A'. Can you explain this answer?
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The force on a curved place due to a jet of area a velocity v and angl...
Force on a Curved Plate due to a Jet
Given Parameters:
- Area of jet: A
- Velocity of jet: v
- Angle of deflection: θ
Formula for Force:
The force on a curved plate due to a jet can be calculated using the formula:
F = ρAv²(1 + cosθ)
Explanation:
- ρ is the density of the fluid
- A is the area of the jet
- v is the velocity of the jet
- θ is the angle of deflection
Analysis of Options:
a) rav²(1 + cosθ) - This is the correct formula based on the analysis.
b) rav²(1 + sinθ)
c) rav²(1 - cosθ)
d) rav²(1 - sinθ)
Reasoning:
- The force on a curved plate due to a jet is influenced by the cosine of the angle of deflection.
- The cosine term in the formula accounts for the component of the force acting perpendicular to the curved plate.
Conclusion:
The correct formula for the force on a curved plate due to a jet is F = ρAv²(1 + cosθ), which is in line with option 'a'. This formula considers the key parameters of the jet, including area, velocity, and angle of deflection, to determine the force acting on the curved plate.
Given Parameters:
- Area of jet: A
- Velocity of jet: v
- Angle of deflection: θ
Formula for Force:
The force on a curved plate due to a jet can be calculated using the formula:
F = ρAv²(1 + cosθ)
Explanation:
- ρ is the density of the fluid
- A is the area of the jet
- v is the velocity of the jet
- θ is the angle of deflection
Analysis of Options:
a) rav²(1 + cosθ) - This is the correct formula based on the analysis.
b) rav²(1 + sinθ)
c) rav²(1 - cosθ)
d) rav²(1 - sinθ)
Reasoning:
- The force on a curved plate due to a jet is influenced by the cosine of the angle of deflection.
- The cosine term in the formula accounts for the component of the force acting perpendicular to the curved plate.
Conclusion:
The correct formula for the force on a curved plate due to a jet is F = ρAv²(1 + cosθ), which is in line with option 'a'. This formula considers the key parameters of the jet, including area, velocity, and angle of deflection, to determine the force acting on the curved plate.
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