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A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)?
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A hole is made at the bottom of tank filled with water.if total pressu...
Calculation of Velocity of Efflux from a Hole in a Tank Filled with Water
Given:
- Pressure at the bottom of the tank = 3 atm (1 atm = 10^5 N/m)
- Area of the hole = √3/2 times the cross-sectional area of the container
Formula:
- Velocity of efflux = √(2gh)
Calculation:
- Pressure at the bottom of the tank = 3 atm = 3 x 10^5 N/m
- Let the height of the water column above the hole be h.
- Pressure at the hole = Pressure due to water column + Atmospheric pressure = hρg + 1 atm = (h x 10^3 x 9.8) + 1 x 10^5 N/m
- Pressure at the hole = 3 x 10^5 N/m
- Equating the above two equations, we get: h = 2.55 m
- Area of the hole = √3/2 times the cross-sectional area of the container
- Let the cross-sectional area of the container be A.
- Area of the hole = √3/2 x A
- Volume of water flowing out per second = Area of the hole x Velocity of efflux
- Volume of water flowing out per second = √3/2 x A x √(2gh)
- Volume of water flowing out per second = √(3/4 x 2) x A x √(2 x 9.8 x 2.55)
- Volume of water flowing out per second = 1.5 x A x 7.02
- Velocity of efflux = Volume of water flowing out per second / Area of the hole
- Velocity of efflux = (1.5 x A x 7.02) / √3/2 x A
- Velocity of efflux = 3.06 m/s
Answer:
The velocity of efflux from the hole in the tank filled with water is 3.06 m/s.
Community Answer
A hole is made at the bottom of tank filled with water.if total pressu...
Answer is √400 m/s u can solve it by using formula v = √2gh
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A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)?
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A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)?.
A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hole is made at the bottom of tank filled with water.if total pressure at bottom is 3 atm(1atm=10^5 N/m) then velocity of efflux is (consider area of hole is √3/2 times of cross sectional area of container)?.
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