Home
Class 11
PHYSICS
The speed of flow past the lower surface...

The speed of flow past the lower surface of a wing of an aeroplane is `50ms^(-1)`. What speed of flow over the upper surface will give a dynamic lift of `1000 pa`? Density of air `=1.3 kgm^(-3)`

Text Solution

Verified by Experts

Applying Bernoullis theorem of the lower and upper surface of a wing

`P_(1)+1/2rhv_(1)^(2)=P_(2)+1/2rhov_(2)^(2)`
or `P_(1)-P_(2)=1/2rho(v_(2)^(2)-v_(1)^(2))`
`implies1000=1/2xx1.30(v_(2)^(2)-50^(2)) [:' "lift" =P_(1)+P_(2)]`
or `v_(2)^(2)-25000=2000/1.3`
or `v_(2)=63.55m//s`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Subjective|25 Videos
  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Single Correct|95 Videos
  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.3|10 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos
  • GRAVITATION

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The velocity of the wind over the surface of the wing of an aeroplane is 80ms^(-1) and under the wing 60ms^(-1) . If the area of the wing is 4m^(2) , the dynamic lift experienced by the wing is [density of air =1.3kg.m^(-3) ]

In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surface of the wing are 70 ms^(-1) and 63 ms^(-1) respectivley. What is the lift on the wing if its area is 2.5 m^(2) ? Take the density of air is 1.3 kg m^(-3) .

In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are 70ms^(-1) and 83ms^(-1) respectively. What is the lift on the wing, if its area is 2.5m^(2) ? Take the density of air to be 1.3kgm^(-3)

A point tube is mounted on an aeroplane wing to measure the speed of the plane. The tube contains alcohol and shows a level difference of 40 cm. What is the speed of the plane reative to air ? (sp. Gr. Of alcohol = 0.8 and density of air = 1 kg m^(-3) ).

The flow speeds of air on the lower and upper surfaces of the wing ofan aeroplane are v and sqrt2v respectively. A is the area of the wing and rho is the density of th e surrounding air. What is the force of the dynamic lift on the wing ?

A plane is in level fight at constant speed and each of two wings has an area of 25m^(2) . If the speed of the air on the upper and lower surfaces of the wing are 270kmh^(-1) and 234 kmh^(-1) respectively, then the mass of the plane is (take the density of the air = 1kg m^(-3) )

A fully loaded Boeing aircraft has a mass of 3.3xx10^(5) kg . Its total wing area is 500 m^(2) . It is in level flight with a speed of 960 km//h . (a) Estimate the pressure difference between the lower and upper surfaces of the wings (b) Estimate the fracitional increases in the speed of the air on the upper surfaces of the wing relative to the lower surface. The density of air is 1.2 kg//m^(3) .

A plane is in level flight at constant speed and each of its wings has an area of 25m^(2) . If the speed of the air is 180km//h over the upper wing surface, determine the plane's mass . (Take air density to be 1 kg//m^(3) ). g=9.8m//s^(2) .

Air stream flows horizontally past an aeroplane wing of surface area 4 m^(2) . The speed of air over the top surface is 60 ms^(-1) and under the bottom surface is 40 ms^(-1) The force of lift on the wing is (density of air = 1 kgm^(-3) )

In a test experiment on a model aeroplane in wind tunnel,the flow speeds on the upper and lower surfaces of the wings are 70ms^(-1) and 65ms^(-1) respectively.If the wing area is .2m^(2) , the lift of the wing is__________N (Given density of air =1.2kgm^(-3) )