A cylindrical tank with a large diameter is f | vedclass

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

Question

(D) Applying Bernoulli's principle at the top surface of the water and at the hole:$P_{atm} + \rho g h + \frac{1}{2} \rho v_{top}^2 = P_{atm} + 0 + \f

Vedclass · Accepted Answer

$1.2 	imes 10^{-3}$

Vedclass · Answer

(D) Applying Bernoulli's principle at the top surface of the water and at the hole:$P_{atm} + ho g h + \frac{1}{2} ho v_{top}^2 = P_{atm} + 0 + \frac{1}{2} ho v_{hole}^2$Since the tank has a large diameter, the velocity at the top surface $v_{top} \approx 0$.Thus, the velocity of efflux at the hole is given by Torricelli's Law:$v = \sqrt{2gh}$Given $g = 9.8 \ m/s^2$ (or $9.81 \ m/s^2$) and $h = 0.2 \ m$:$v = \sqrt{2 	imes 9.8 	imes 0.2} = \sqrt{3.92} \approx 1.98 \ m/s$The drainage rate (volume flow rate) $Q = A 	imes v$.Given area $A = 6 \ cm^2 = 6 	imes 10^{-4} \ m^2$.$Q = 6 	imes 10^{-4} 	imes 1.98 \approx 1.188 	imes 10^{-3} \ m^3/s$.Rounding to two significant figures, $Q \approx 1.2 	imes 10^{-3} \ m^3/s$.

$A$ cylindrical tank with a large diameter is filled with water. Water drains out through a hole at the bottom of the tank. If the cross-sectional area of the hole is $6 \ cm^2$, then the drainage rate in $m^3 s^{-1}$ when the depth of the water is $0.2 \ m$ is:

Similar Questions

The height of water in a tank is $H$. The range of the liquid emerging out from a hole in the wall of the tank at a depth $\frac{3H}{4}$ from the upper surface of water will be:

$A$ water tank of height $10\,m$,completely filled with water,is placed on a level ground. It has two holes,one at $3\,m$ and the other at $7\,m$ from its base. The water ejecting from:

$A$ tank is filled up to a height $h$ with a liquid and is placed on a platform of height $h$ from the ground. To get the maximum range $x_m$,a small hole is punched at a distance of $y$ from the free surface of the liquid. Then:

$A$ vessel completely filled with water has holes $A$ and $B$ at depths $h$ and $3h$ from the top respectively. The hole $A$ is a square of side $L$ and $B$ is a circle of radius $r$. The water flowing out per second from both the holes is same. Then $L$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module