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A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.?
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A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a p...
To find the pressure head at point A, we need to use the Bernoulli's equation which states that the sum of pressure head, elevation head, and velocity head remains constant along a streamline in an ideal fluid flow.
Given data:
Diameter of the pipe (D) = 30 cm = 0.3 m
Velocity of water (V) = 20 m/s
Pressure at point A (P) = 360 kN/m²
Elevation at point A (h) = 30.5 m
Acceleration due to gravity (g) = 10 m/s²
Let's calculate the pressure head at point A using the Bernoulli's equation:
1. Convert the pressure from kN/m² to N/m²:
Pressure (P) = 360 kN/m² = 360,000 N/m²
2. Calculate the velocity head (hv):
Velocity head (hv) = (V²) / (2g)
= (20²) / (2 × 10)
= 200 / 20
= 10 m
3. Calculate the pressure head (hp):
Pressure head (hp) = (P) / (ρg)
= (P) / (γ)
= (360,000 N/m²) / (9,800 N/m³)
= 36,734.7 m³/m³
4. Calculate the total head (h):
Total head (h) = elevation head (h) + pressure head (hp) + velocity head (hv)
= 30.5 m + 36,734.7 m³/m³ + 10 m
= 36,775.2 m
Therefore, the pressure head at point A is 36,775.2 m.
Given data:
Diameter of the pipe (D) = 30 cm = 0.3 m
Velocity of water (V) = 20 m/s
Pressure at point A (P) = 360 kN/m²
Elevation at point A (h) = 30.5 m
Acceleration due to gravity (g) = 10 m/s²
Let's calculate the pressure head at point A using the Bernoulli's equation:
1. Convert the pressure from kN/m² to N/m²:
Pressure (P) = 360 kN/m² = 360,000 N/m²
2. Calculate the velocity head (hv):
Velocity head (hv) = (V²) / (2g)
= (20²) / (2 × 10)
= 200 / 20
= 10 m
3. Calculate the pressure head (hp):
Pressure head (hp) = (P) / (ρg)
= (P) / (γ)
= (360,000 N/m²) / (9,800 N/m³)
= 36,734.7 m³/m³
4. Calculate the total head (h):
Total head (h) = elevation head (h) + pressure head (hp) + velocity head (hv)
= 30.5 m + 36,734.7 m³/m³ + 10 m
= 36,775.2 m
Therefore, the pressure head at point A is 36,775.2 m.
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A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.?
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A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.? 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 pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.?.
A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.? 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 pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pipe of 30 cm diameter carries water at a velocity of 20 m/s. At a point A on the pipe, measured pressure and elevation is 360 kN/m 2 and 30.5 m. What is the pressure head at A? (g = 10 m/s²) (a) 76.5 m (b) 86.5 m (c) 65.5 m (d) 50.5 m Correct option is 'a'. Can any one explain.?.
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