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The flow speeds of air on the lower and ...

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

`1/2rhovA`

B

`1/2rhov^2A`

C

`rhov^2A`

D

`(rhov^2)/(2A)`

Text Solution

Verified by Experts

The correct Answer is:
B
As per Bernouli's principle
`P_1+1/2rhov_1^2=P_2+1/2rhov_2^2`
`(P_1-P_2)=1/2rho(v_2^2-v_1^2)`
But `v_1=v" and "v_2=sqrt2v`
`P_1-P_2=rho/2[2v^2-v^2]=(rhov^2)/(2)`
`:.` Force of dynamic lift
= Pressure difference `xx` Surface area
`=(rhov^2)/2xxA=1/2rhov^2A`
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