UPSC Exam > UPSC Questions > Can you solve this equation.The pressure at t...
Start Learning for Free
Can you solve this equation.
The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?
The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?
Most Upvoted Answer
Can you solve this equation.The pressure at the point in a fluid is gi...
Understanding the Problem
To find the height of the oil in the fluid column, we can use the hydrostatic pressure formula:
Pressure = Height × Density × Gravity
Where:
- Pressure is given as 3.924 N/cm².
- Specific Gravity is the ratio of the density of the fluid to the density of water.
Converting Pressure Units
- Convert pressure from N/cm² to N/m² (Pascals):
- 1 N/cm² = 10,000 N/m²
- Therefore, 3.924 N/cm² = 3.924 × 10,000 = 39,240 N/m²
Calculating Density of Oil
- Specific Gravity of oil = 0.9
- Density of water = 1000 kg/m³
- Density of oil = Specific Gravity × Density of water
- Density of oil = 0.9 × 1000 = 900 kg/m³
Using Hydrostatic Pressure Formula
Now, we can rearrange the hydrostatic pressure formula to find the height:
Height = Pressure / (Density × Gravity)
- Where gravity (g) is approximately 9.81 m/s².
Plugging in the Values
- Height = 39,240 N/m² / (900 kg/m³ × 9.81 m/s²)
- Calculate:
- Height = 39,240 / 8,829 = 4.44 meters (approximately)
Conclusion
The corresponding height of the oil column when the pressure is 3.924 N/cm² and the specific gravity is 0.9 is approximately 4.44 meters.
To find the height of the oil in the fluid column, we can use the hydrostatic pressure formula:
Pressure = Height × Density × Gravity
Where:
- Pressure is given as 3.924 N/cm².
- Specific Gravity is the ratio of the density of the fluid to the density of water.
Converting Pressure Units
- Convert pressure from N/cm² to N/m² (Pascals):
- 1 N/cm² = 10,000 N/m²
- Therefore, 3.924 N/cm² = 3.924 × 10,000 = 39,240 N/m²
Calculating Density of Oil
- Specific Gravity of oil = 0.9
- Density of water = 1000 kg/m³
- Density of oil = Specific Gravity × Density of water
- Density of oil = 0.9 × 1000 = 900 kg/m³
Using Hydrostatic Pressure Formula
Now, we can rearrange the hydrostatic pressure formula to find the height:
Height = Pressure / (Density × Gravity)
- Where gravity (g) is approximately 9.81 m/s².
Plugging in the Values
- Height = 39,240 N/m² / (900 kg/m³ × 9.81 m/s²)
- Calculate:
- Height = 39,240 / 8,829 = 4.44 meters (approximately)
Conclusion
The corresponding height of the oil column when the pressure is 3.924 N/cm² and the specific gravity is 0.9 is approximately 4.44 meters.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?
Question Description
Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?.
Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?.
Solutions for Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? defined & explained in the simplest way possible. Besides giving the explanation of
Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.?, a detailed solution for Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? has been provided alongside types of Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? theory, EduRev gives you an
ample number of questions to practice Can you solve this equation.The pressure at the point in a fluid is given 3.924 N/cm2. Find the corresponding height of fluid when the fluid is oil of specific gravity 0.9.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup