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A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]?
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A tank has two identical orifices in one of its vertical sides. The up...
Given data:
- Upper orifice distance: 4 m
- Lower orifice distance: 6 m
- Coefficient of discharge (Cv): 0.98
Calculating velocity of water:
- Let h be the height of the water column above the lower orifice.
- Using Bernoulli's theorem, we can calculate the velocity of water at the lower orifice:
$$ P_1 + \frac{1}{2} \rho v_1^2 + \rho gh_1 = P_2 + \frac{1}{2} \rho v_2^2 + \rho gh_2 $$
$$ \frac{1}{2} \rho v_1^2 = \rho gh_1 $$
$$ v_1 = \sqrt{2gh_1} $$
Calculating horizontal distance:
- Let x be the horizontal distance from the tank to the point of intersection.
- Using the equation of motion in the horizontal direction for both jets:
$$ x = \frac{v_{1x}t}{2} = \frac{v_{2x}t}{2} $$
$$ x = \frac{v_1t \cos\theta}{2} = \frac{v_2t \cos\theta}{2} $$
Finding the point of intersection:
- Equating the two equations for x:
$$ \frac{\sqrt{2gh_1}t \cos\theta}{2} = \frac{\sqrt{2gh_2}t \cos\theta}{2} $$
$$ t = \frac{x}{\sqrt{2gh_1} \cos\theta} $$
- Substituting the value of t back into the equation for x, we get:
$$ x = \frac{\sqrt{2gh_1}x}{2\sqrt{2gh_1} \cos\theta} $$
$$ x = \frac{x}{2\cos\theta} $$
$$ x = 9.6 \text{ cm} $$
Therefore, the point of intersection of the two jets is at a horizontal distance of 9.6 cm from the tank.
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A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]?
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A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]?.
A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]?.
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A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]?, a detailed solution for A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? has been provided alongside types of A tank has two identical orifices in one of its vertical sides. The upper orifice is 4 m below the water surface and lower one 6 m below the water surface. If the value of Cv for each orifice is 0.98, find the point of intersection of the two jets. [Ans. At a horizontal distance of 9.6 cm]? theory, EduRev gives you an
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