A frictionless track has a curve of radius 90√3m. If the speed limit on this road is 30m/s, what should be the banking angle for this road to ensure safe driving ? Take g=10m/s2.
A
60∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
30∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
60∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
45∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A60∘ From the condition of banking for a frictionless circular road: tanθ=v2rg
For v=vmax=30m/s, tanθ=30290√3×10=√3 ⇒θ=tan−1(√3)=60∘
Hence the road should be banked at an angle of 60∘.