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An aircraft executes a horizontal loop a...

An aircraft executes a horizontal loop at a speed of `720 km h^(-1)` , with its wings banked at `15^(@)` What is the radiue of the loop ?

A

14.8km

B

14.8m

C

29.6km

D

29.6m

Text Solution

Verified by Experts

The correct Answer is:
A

Here, `v=720 km h^(-1)=720xx(5)/(18)ms^(-1)=200 ms^(-1)`
`theta=15^(@), g=10ms^(-2) "As" tan theta=(v^(2))/(rg)`
`therefore r=(v^(2))/(tan thetag)=(200 ms^(-1))^(2)/(tan 15^(@)xx10ms^(-2))=14815m=14.8km`
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