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The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second?
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The pressure in water pipe at the ground floor of your building is 120...
Understanding Pressure in Water Pipes
When analyzing the pressure in water pipes at different heights, we can use the hydrostatic pressure formula. The pressure difference between two points in a fluid is influenced by the height difference and the density of the fluid.
Given Data
- Pressure at Ground Floor (P1) = 12000 Pascal (Pa)
- Pressure at 3rd Floor (P2) = 30000 Pascal (Pa)
- Acceleration due to gravity (g) = 10 m/s²
Calculate Pressure Difference
- Pressure Difference (ΔP) = P2 - P1
ΔP = 30000 Pa - 12000 Pa = 18000 Pa
Hydrostatic Pressure Equation
The hydrostatic pressure equation is given by:
ΔP = ρgh
Where:
- ρ is the density of water (approximately 1000 kg/m³)
- g is the acceleration due to gravity (10 m/s²)
- h is the height difference in meters
Rearranging the Equation
To find the height (h), we can rearrange the equation:
h = ΔP / (ρg)
Substituting the values:
h = 18000 Pa / (1000 kg/m³ × 10 m/s²)
Final Calculation
- h = 18000 Pa / 10000 kg/(m²·s²)
- h = 1.8 meters
Conclusion
The height of the 3rd floor, based on the given pressure difference, is approximately 1.8 meters. This calculation illustrates how pressure varies with height in a fluid system, which is essential for understanding plumbing and fluid dynamics in buildings.
When analyzing the pressure in water pipes at different heights, we can use the hydrostatic pressure formula. The pressure difference between two points in a fluid is influenced by the height difference and the density of the fluid.
Given Data
- Pressure at Ground Floor (P1) = 12000 Pascal (Pa)
- Pressure at 3rd Floor (P2) = 30000 Pascal (Pa)
- Acceleration due to gravity (g) = 10 m/s²
Calculate Pressure Difference
- Pressure Difference (ΔP) = P2 - P1
ΔP = 30000 Pa - 12000 Pa = 18000 Pa
Hydrostatic Pressure Equation
The hydrostatic pressure equation is given by:
ΔP = ρgh
Where:
- ρ is the density of water (approximately 1000 kg/m³)
- g is the acceleration due to gravity (10 m/s²)
- h is the height difference in meters
Rearranging the Equation
To find the height (h), we can rearrange the equation:
h = ΔP / (ρg)
Substituting the values:
h = 18000 Pa / (1000 kg/m³ × 10 m/s²)
Final Calculation
- h = 18000 Pa / 10000 kg/(m²·s²)
- h = 1.8 meters
Conclusion
The height of the 3rd floor, based on the given pressure difference, is approximately 1.8 meters. This calculation illustrates how pressure varies with height in a fluid system, which is essential for understanding plumbing and fluid dynamics in buildings.
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The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second?
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The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second?.
The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pressure in water pipe at the ground floor of your building is 12000 past whereas the pressure on the 3rd floor is 30000 calculate them height of the 3rd floor take equal to 10 m per second?.
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