Q. 54.8( 4 Votes )
If the horizontal
Answer :
Where,
R=Normal reaction
θ=Angle of banking
v=velocity of the car
m=mass of the car
g= acceleration due to gravity
r=radius
From the diagram, we can see that
R cosθ = mg
R sinθ = mv2/r
On dividing the above equations, we get
Tanθ = v2/rg
⇒ θ=tan-1(v2/rg)
We are given, v=10m/s
r=30m
⇒ θ=tan-1(10×10/30)
⇒ θ=tan-1(1/3)
∴ Angle of banking should be tan-1(1/3)
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