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A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)
Correct answer is '0.55'. Can you explain this answer?
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A fluid jet discharging from a 40 mm diameter orifice has a diameter ...
Cd = Cc × Cv
∴ CD = 0.55
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A fluid jet discharging from a 40 mm diameter orifice has a diameter ...
Given data:
Diameter of orifice (d1) = 40 mm
Diameter at vena contracta (d2) = 30 mm
Coefficient of velocity (Cv) = 0.98
Definition:
The coefficient of discharge (Cd) is defined as the ratio of actual discharge to the theoretical discharge.
Theoretical discharge:
The theoretical discharge can be calculated using the formula:
Q_theoretical = Cv * A * V
Where,
Q_theoretical = Theoretical discharge
Cv = Coefficient of velocity
A = Area of the orifice
V = Velocity at the vena contracta
Calculating the area of the orifice:
The area of the orifice can be calculated using the formula:
A = π * (d1/2)^2
Where,
A = Area of the orifice
d1 = Diameter of the orifice
Substituting the given values, we get:
A = π * (40/2)^2 = 1256.64 mm^2
Calculating the velocity at the vena contracta:
The velocity at the vena contracta can be calculated using the formula:
V = (Cv * √2 * g * H)^0.5
Where,
V = Velocity at the vena contracta
Cv = Coefficient of velocity
g = Acceleration due to gravity
H = Difference in height of the free surface of the liquid in the reservoir and the center of the orifice
Since the height difference (H) is not given, we cannot calculate the velocity at the vena contracta.
Calculating the actual discharge:
The actual discharge can be calculated using the formula:
Q_actual = Cd * A * V
Where,
Q_actual = Actual discharge
Cd = Coefficient of discharge
A = Area of the orifice
V = Velocity at the vena contracta
Since the velocity at the vena contracta is not given, we cannot calculate the actual discharge.
Calculating the coefficient of discharge:
To calculate the coefficient of discharge, we need to rearrange the formula for actual discharge:
Cd = Q_actual / (A * V)
Since we cannot calculate the actual discharge and the velocity at the vena contracta, we cannot determine the coefficient of discharge.
Therefore, the given answer of 0.55 for the coefficient of discharge is incorrect.
Diameter of orifice (d1) = 40 mm
Diameter at vena contracta (d2) = 30 mm
Coefficient of velocity (Cv) = 0.98
Definition:
The coefficient of discharge (Cd) is defined as the ratio of actual discharge to the theoretical discharge.
Theoretical discharge:
The theoretical discharge can be calculated using the formula:
Q_theoretical = Cv * A * V
Where,
Q_theoretical = Theoretical discharge
Cv = Coefficient of velocity
A = Area of the orifice
V = Velocity at the vena contracta
Calculating the area of the orifice:
The area of the orifice can be calculated using the formula:
A = π * (d1/2)^2
Where,
A = Area of the orifice
d1 = Diameter of the orifice
Substituting the given values, we get:
A = π * (40/2)^2 = 1256.64 mm^2
Calculating the velocity at the vena contracta:
The velocity at the vena contracta can be calculated using the formula:
V = (Cv * √2 * g * H)^0.5
Where,
V = Velocity at the vena contracta
Cv = Coefficient of velocity
g = Acceleration due to gravity
H = Difference in height of the free surface of the liquid in the reservoir and the center of the orifice
Since the height difference (H) is not given, we cannot calculate the velocity at the vena contracta.
Calculating the actual discharge:
The actual discharge can be calculated using the formula:
Q_actual = Cd * A * V
Where,
Q_actual = Actual discharge
Cd = Coefficient of discharge
A = Area of the orifice
V = Velocity at the vena contracta
Since the velocity at the vena contracta is not given, we cannot calculate the actual discharge.
Calculating the coefficient of discharge:
To calculate the coefficient of discharge, we need to rearrange the formula for actual discharge:
Cd = Q_actual / (A * V)
Since we cannot calculate the actual discharge and the velocity at the vena contracta, we cannot determine the coefficient of discharge.
Therefore, the given answer of 0.55 for the coefficient of discharge is incorrect.
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A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer?
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A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer?.
A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fluid jet discharging from a 40 mm diameter orifice has a diameter 30 mm at its vena contracta. Assume the coefficient of velocity to be 0.98. Determine the coefficient of discharge for the orifice (Answer up to two decimal places)Correct answer is '0.55'. Can you explain this answer?.
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