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In a test experiment on a model aeroplan...

In a test experiment on a model aeroplane in a wind tunn el, the flow speeds on the upper and lower surfaces of the win gs are 70m/s and 60m/s respectivel y. Wh at is th e dynamic lift of the win g if its area is `2.4 m^2` ?

A

1014 N

B

2028 N

C

2315 N

D

1645 N

Text Solution

Verified by Experts

The correct Answer is:
A
Let `P_1` and `P_2` be the pressures on the upper and lower surfaces of the wing. Applying Bernouli's theorem, and by assuming `h_1=h_2` (gravitational head), we get
`P_2+1/2rhov_2^2=P_1+1/2rhov_1^2`
`:." "(P_2-P_1)=1/2rho(v_1^2-v_2^2)`
`1/2xx1.3xx(70^2-60^2)`
`=1.3xx65845N//m^2`
`:.` Dynamic (Upward lift)
=Net upward pressure`xx`Area`=(P_2-P_1)xxA`
`F=845xx2.4=2028N`
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