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A turn has a radius of 10m if a vehicle ...

A turn has a radius of `10m` if a vehicle goes round it at an average speed of `18km//h` , what should be the proper angle of banking?

A

`theta=tan^(-1)((1)/(3))`

B

`theta=tan^(-1)((1)/(8))`

C

`theta=tan^(-1)(1)`

D

`theta=tan^(-1)((1)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
D

`v=(18xx5)/(18)=m//s`
`tantheta=(v^(2))/(Rg)=((5)^(2))/(10xx10)=(1)/(4)`
:. `theta=tan^(-1)((1)/(4))`
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Knowledge Check

  • A circular track of radius 600 m is tio be designed for cars at an average speed of 180 km/hr. What should be the angle of banking of the track?

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