A plane is in level flight at constant speed | vedclass

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

Question

(D) The total area of the two wings is $A = 2 	imes 40 \,m^2 = 80 \,m^2$.Convert the air speeds from $km/h$ to $m/s$:$V_1 = 180 \,km/h = 180 	imes \

Vedclass · Accepted Answer

$9600$

Vedclass · Answer

(D) The total area of the two wings is $A = 2 	imes 40 \,m^2 = 80 \,m^2$.Convert the air speeds from $km/h$ to $m/s$:$V_1 = 180 \,km/h = 180 	imes \frac{5}{18} = 50 \,m/s$ (lower surface)$V_2 = 252 \,km/h = 252 	imes \frac{5}{18} = 70 \,m/s$ (upper surface)According to Bernoulli's principle,the pressure difference $\Delta P = P_1 - P_2$ between the lower and upper surfaces provides the lift force $F_L$:$F_L = (P_1 - P_2) A = \frac{1}{2} ho (V_2^2 - V_1^2) A$For level flight,the lift force must balance the weight of the plane:$mg = \frac{1}{2} ho (V_2^2 - V_1^2) A$Substitute the given values:$m 	imes 10 = \frac{1}{2} 	imes 1 	imes (70^2 - 50^2) 	imes 80$$10m = 40 	imes (4900 - 2500)$$10m = 40 	imes 2400$$10m = 96000$$m = 9600 \,kg$.

Similar Questions

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.

Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point $1$, the water at point $2$:

Bernoulli's principle is based on the law of conservation of

The speeds of air above and below the wing of an airplane are $120\, m/s$ and $90\, m/s$,respectively. The density of air is $1.3\, kg/m^3$. If the wing has a length of $10\, m$ and a width of $2\, m$,the pressure difference between the top and bottom of the wing is ......... $Pascal$.

The figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

Vedclass Test Series

Exam Paper Generator

Online Exam Module