(C) According to Bernoulli's principle,for horizontal flow,the pressure difference $\Delta P$ is given by the equation:$\Delta P = P_{lower} - P_{uppe

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(C) According to Bernoulli's principle,for horizontal flow,the pressure difference $\Delta P$ is given by the equation:$\Delta P = P_{lower} - P_{upper} = \frac{1}{2} \rho (v_{upper}^2 - v_{lower}^2)$Given:Density $\rho = 1.2 \, kg \, m^{-3}$Velocity above the wing $v_{upper} = 150 \, m \, s^{-1}$Velocity below the wing $v_{lower} = 100 \, m \, s^{-1}$Substituting the values:$\Delta P = \frac{1}{2} \times 1.2 \times (150^2 - 100^2)$$\Delta P = 0.6 \times (22500 - 10000)$$\Delta P = 0.6 \times 12500$$\Delta P = 7500 \, N \, m^{-2}$

Class 11 Physics Mechanical Properties of Fluids Bernoulli's Theorem and Applications of Bernoulli's Theory

Medium

Air of density $1.2 \, kg \, m^{-3}$ is blowing across the horizontal wings of an aeroplane in such a way that its speeds above and below the wings are $150 \, m \, s^{-1}$ and $100 \, m \, s^{-1}$,respectively. The pressure difference between the upper and lower sides of the wings is ........ $N \, m^{-2}$.

JEE MAIN 2013 All JEE MAIN

A
$60$
B
$180$
C
$7500$
D
$12500$

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Class 11

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Mechanical Properties of Fluids

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Bernoulli's Theorem and Applications of Bernoulli's Theory

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Explain the upward force (dynamic lift) acting on an airplane wing.

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The Bernoulli's equation is given by $p + \frac{1}{2} \rho v^{2} + h \rho g = k$,where $p =$ pressure,$\rho =$ density,$v =$ speed,$h =$ height of the liquid column,$g =$ acceleration due to gravity,and $k$ is a constant. The dimensional formula for $k$ is the same as that for:

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The figure represents vertical sections of four wings moving horizontally in air. In which case is the force upwards?

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$A$ manometer connected to a closed tap reads $3.5 \times 10^5 \ N/m^2$. When the valve is opened,the reading of the manometer falls to $3.0 \times 10^5 \ N/m^2$. The velocity of the flow of water is ........ $m/s$.

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

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Explain the upward force (dynamic lift) acting on an airplane wing.

The Bernoulli's equation is given by $p + \frac{1}{2} \rho v^{2} + h \rho g = k$,where $p =$ pressure,$\rho =$ density,$v =$ speed,$h =$ height of the liquid column,$g =$ acceleration due to gravity,and $k$ is a constant. The dimensional formula for $k$ is the same as that for:

The figure represents vertical sections of four wings moving horizontally in air. In which case is the force upwards?

$A$ manometer connected to a closed tap reads $3.5 \times 10^5 \ N/m^2$. When the valve is opened,the reading of the manometer falls to $3.0 \times 10^5 \ N/m^2$. The velocity of the flow of water is ........ $m/s$.

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

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