The pressure of water in a water pipe when th | vedclass

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

Question

(A) According to Bernoulli's principle,for a horizontal pipe,the sum of pressure energy and kinetic energy remains constant: $P_1 + \frac{1}{2} \rho v

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) According to Bernoulli's principle,for a horizontal pipe,the sum of pressure energy and kinetic energy remains constant: $P_1 + \frac{1}{2} ho v_1^2 = P_2 + \frac{1}{2} ho v_2^2$.When the tap is closed,the velocity of water $v_1 = 0$. Let the pressure be $P_1 = 3.5 	imes 10^5 \, N/m^2$.When the tap is open,the pressure is $P_2 = 3 	imes 10^5 \, N/m^2$ and the velocity is $v_2 = v$.Substituting the values into the equation: $3.5 	imes 10^5 + 0 = 3 	imes 10^5 + \frac{1}{2} 	imes 10^3 	imes v^2$.$(3.5 - 3) 	imes 10^5 = \frac{1}{2} 	imes 10^3 	imes v^2$.$0.5 	imes 10^5 = 500 	imes v^2$.$50000 = 500 	imes v^2$.$v^2 = 100$.$v = 10 \, m/s$.

The pressure of water in a water pipe when the tap is closed and opened is $3.5 \times 10^5 \, N/m^2$ and $3 \times 10^5 \, N/m^2$ respectively. With the tap open,the velocity of water flowing is ........... $m/s$. (Take density of water $\rho = 10^3 \, kg/m^3$)

Similar Questions

Write the limitations of Bernoulli's equation.

Give the formula for the measurement of the velocity of a fluid in the broader part of a venturi-meter.

Consider the following equation of Bernoulli's theorem: $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant). The dimensions of $K/P$ are the same as those of which of the following?

$A$ wind with speed $50 \,m/s$ blows parallel to the roof of a house. The area of the roof is $300 \,m^2$. Assume that the pressure inside the house is atmospheric pressure. The density of air is $1.2 \,kg/m^3$. The magnitude of the force exerted by the wind on the roof will be:

$A$ closed pipe containing a liquid showed a pressure $P_1$ by gauge. When the valve was opened,the pressure was reduced to $P_2$. The speed of water flowing out of the pipe is ( $\rho=$ density of water )

Vedclass Test Series

Exam Paper Generator

Online Exam Module