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A turn of radius 600 m is banked for a v...

A turn of radius 600 m is banked for a vehicle of mass 200 kg going with a speed of `180kmh^(-1)` . Determine the banking angle of its path.

A

`22.6^(@)`

B

`19.8^(@)`

C

`30.6^(@)`

D

`40.8^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
The turn is banked for speed,
`v=180"kmh"^(-1)=180xx(5)/(18)"ms"^(-1)=50ms^(-1)`
and radius r = 600m
`because" "tantheta=(v^(2))/(rg)=(50xx50)/(600xx10)`
`rArr" "tantheta=(25)/(60)=0.417`
`rArr" Banking angle "theta=tan^(-1)(0.417)`
`rArr" "theta=22.6^(@)`
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Knowledge Check

  • A turn of radius 20 m is banked for the vehicle of mass 200 kg going at a speed of 10 m//s . Find the direction and magnitude of frictional force (a) 5 m//s (b) 15 m//s Assume that friction is sufficient to prevent slipping. (g=10 m//s^(2))

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