The flow speeds of air on the lower and upper | vedclass

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

Question

(C) According to Bernoulli's principle,for horizontal flow,$P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2$.Let $P_1$ and $v_1$ be the pres

Vedclass · Accepted Answer

$\frac{3}{2}\rho v^2 A$

Vedclass · Answer

(C) According to Bernoulli's principle,for horizontal flow,$P_1 + \frac{1}{2}ho v_1^2 = P_2 + \frac{1}{2}ho v_2^2$.Let $P_1$ and $v_1$ be the pressure and speed on the lower surface,and $P_2$ and $v_2$ be the pressure and speed on the upper surface.Given $v_1 = v$ and $v_2 = 2v$.The pressure difference $\Delta P = P_1 - P_2 = \frac{1}{2}ho(v_2^2 - v_1^2)$.Substituting the values: $\Delta P = \frac{1}{2}ho((2v)^2 - v^2) = \frac{1}{2}ho(4v^2 - v^2) = \frac{1}{2}ho(3v^2) = \frac{3}{2}ho v^2$.The dynamic lift $L$ is the force due to this pressure difference: $L = \Delta P 	imes A$.Therefore,$L = \frac{3}{2}ho v^2 A$.

The flow speeds of air on the lower and upper surfaces of the wing of an aeroplane are $v$ and $2v$ respectively. The density of air is $\rho$ and the surface area of the wing is $A$. The dynamic lift on the wing is:

Similar Questions

Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe,

$A$ 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:

$A$ liquid flows through a horizontal tube. The velocities of the liquid in the two sections which have areas of cross-section $A_1$ and $A_2$ are $v_1$ and $v_2$ respectively. The difference in the levels of the liquid in the two vertical tubes is $h$. The incorrect statement is

Water (of density $\varrho$) flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is $P$ at a point where the flow speed is $V$,then the pressure at another point where the flow speed becomes $3V$ is:

To get the maximum flight (Magnus effect),a ball must be thrown as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module