Water flows steadily through a horizontal pipe of a variable cross section. If the pressure of the water is p at a point where the speed of the flow is v, what is the pressure at another point where the speed of the flow is 2v; let the density of water be ρ
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According to law
Area¹ × velocity¹ = Area' × velocity'
=>area= force/ pressure
Force in pipe is same
=> force/ pressure ¹ × velocity ¹ =force/ pressure ' × velocity '
=> velocity ¹ / pressure ¹ = velocity '/ pressure '
=> v / p = 2v / pressure '
=>pressure ' = 2v × p / v = 2p
pressure at another point is 2p
Area¹ × velocity¹ = Area' × velocity'
=>area= force/ pressure
Force in pipe is same
=> force/ pressure ¹ × velocity ¹ =force/ pressure ' × velocity '
=> velocity ¹ / pressure ¹ = velocity '/ pressure '
=> v / p = 2v / pressure '
=>pressure ' = 2v × p / v = 2p
pressure at another point is 2p
Vinayakjamadar:
No answer should be p-3/2ρv²
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