Water is flowing in streamline motion through | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Bernoulli's principle for streamline flow in a horizontal tube, the sum of static pressure and dynamic pressure remains constant at a

Vedclass · Accepted Answer

$\sqrt{v^{2}+\frac{p}{\rho}}$

Vedclass · Answer

(A) According to Bernoulli's principle for streamline flow in a horizontal tube, the sum of static pressure and dynamic pressure remains constant at all points along a streamline.$p + \frac{1}{2} \rho v^{2} = p_{1} + \frac{1}{2} \rho v_{1}^{2}$Given that at the second point, $p_{1} = p/2$.Substituting this into the equation:$p + \frac{1}{2} \rho v^{2} = \frac{p}{2} + \frac{1}{2} \rho v_{1}^{2}$Rearranging the terms to solve for $v_{1}^{2}$:$\frac{1}{2} \rho v_{1}^{2} = p - \frac{p}{2} + \frac{1}{2} \rho v^{2}$$\frac{1}{2} \rho v_{1}^{2} = \frac{p}{2} + \frac{1}{2} \rho v^{2}$Multiplying both sides by $2/\rho$:$v_{1}^{2} = \frac{p}{\rho} + v^{2}$$v_{1} = \sqrt{v^{2} + \frac{p}{\rho}}$

Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $p$ where the velocity of flow is $v$. At another point, where the pressure is $p/2$, the velocity of flow is (density of water $= \rho$)

Similar Questions

$A$ fully loaded Boeing aircraft has a mass of $3.3 \times 10^5 \text{ kg}$. Its total wing area is $500 \text{ m}^2$. It is in level flight with a speed of $960 \text{ km/h}$. Estimate the pressure difference between the lower and upper surfaces of the wings.

Write the limitations of Bernoulli's equation.

The lift of an airplane is based on

Prove Bernoulli's Principle.

Vedclass Test Series

Exam Paper Generator

Online Exam Module