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Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m deep fitted to a easier tank. The water level in a team is 3.3 m above the top edge of orifice. Take Cd = 0.6
- a)29.4 m3/s
- b)58.5 m3/s
- c)67.9 m3/s
- d)78.7 m3/s
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m ...
Explanation: Q = 2/3 Cd *b*√2g* (H21.5 – H11.5)
Here,
H1 = 5
H2 = 3.3
b = 3.2
Hence, Q = 29.4 m3/s.
Here,
H1 = 5
H2 = 3.3
b = 3.2
Hence, Q = 29.4 m3/s.
Most Upvoted Answer
Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m ...
Problem:
Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m deep fitted to a reservoir. The water level in the reservoir is 3.3 m above the top edge of the orifice. Take Cd = 0.6
Solution:
Given data,
Width of the orifice (B) = 3.2 m
Depth of orifice (H) = 1.7 m
Head of water above the top edge of the orifice (H) = 3.3 m
Coefficient of discharge (Cd) = 0.6
The discharge through the rectangular orifice can be calculated by using the following formula:
Q = Cd x A x √(2gh)
Where,
Q = Discharge through the orifice
Cd = Coefficient of discharge
A = Area of the orifice
g = Acceleration due to gravity
h = Head of water above the top edge of the orifice
Area of the orifice (A) can be calculated as:
A = B x H
A = 3.2 x 1.7
A = 5.44 m²
Substituting the given values in the discharge formula, we get:
Q = 0.6 x 5.44 x √(2 x 9.81 x 3.3)
Q = 29.4 m³/s
Therefore, the discharge through the rectangular orifice is 29.4 m³/s.
Answer: Option (a) 29.4 m³/s
Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m deep fitted to a reservoir. The water level in the reservoir is 3.3 m above the top edge of the orifice. Take Cd = 0.6
Solution:
Given data,
Width of the orifice (B) = 3.2 m
Depth of orifice (H) = 1.7 m
Head of water above the top edge of the orifice (H) = 3.3 m
Coefficient of discharge (Cd) = 0.6
The discharge through the rectangular orifice can be calculated by using the following formula:
Q = Cd x A x √(2gh)
Where,
Q = Discharge through the orifice
Cd = Coefficient of discharge
A = Area of the orifice
g = Acceleration due to gravity
h = Head of water above the top edge of the orifice
Area of the orifice (A) can be calculated as:
A = B x H
A = 3.2 x 1.7
A = 5.44 m²
Substituting the given values in the discharge formula, we get:
Q = 0.6 x 5.44 x √(2 x 9.81 x 3.3)
Q = 29.4 m³/s
Therefore, the discharge through the rectangular orifice is 29.4 m³/s.
Answer: Option (a) 29.4 m³/s
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Find the discharge through a rectangular orifice 3.2 m wide and 1.7 m deep fitted to a easier tank. The water level in a team is 3.3 m above the top edge of orifice. Take Cd = 0.6a)29.4 m3/sb)58.5 m3/sc)67.9 m3/sd)78.7 m3/sCorrect answer is option 'A'. Can you explain this answer?
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