(a) Show that the flow velocity measured by a venturi

Chapter 4, Problem 47P

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QUESTION:

(III) (a) Show that the flow velocity measured by a venturi meter (see Fig.  ) is given by the relation

\(v_{1}=A_{2} \sqrt{\frac{2\left(P_{1}-P_{2}\right)}{\rho\left(A_{1}^{2}-A_{2}^{2}\right)}}\)

(b) A venturi tube is measuring the flow of water; it has a main diameter of  tapering down to a throat diameter of . If the pressure difference is measured to be , what is the velocity of the water?

Equation Transcription:

Text Transcription:

v_1=A_2 \sqrt{\frac{2(P_1-P_2)\rho(A_1^2-A_2^2)

Questions & Answers

QUESTION:

(III) (a) Show that the flow velocity measured by a venturi meter (see Fig.  ) is given by the relation

\(v_{1}=A_{2} \sqrt{\frac{2\left(P_{1}-P_{2}\right)}{\rho\left(A_{1}^{2}-A_{2}^{2}\right)}}\)

(b) A venturi tube is measuring the flow of water; it has a main diameter of  tapering down to a throat diameter of . If the pressure difference is measured to be , what is the velocity of the water?

Equation Transcription:

Text Transcription:

v_1=A_2 \sqrt{\frac{2(P_1-P_2)\rho(A_1^2-A_2^2)

ANSWER:

ANSWER:Weight of the elevator is 2500 N.By definition of weight, it is the normal reaction an object gets.So, N = mg = mass × 9.8 = 2500 mass = 2500/9.8 = 245 kg .But

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