A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking 3 0 ∘ . If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safel

Question

A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking 3 0 ∘ . If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: ( g = 10 m / s 2 , 3 ​ = 1.73 )

TestHub · Accepted Answer

​ m = 800 kg r = 300 m θ = 3 0 ∘ μ s ​ = 0.2 V m a x ​ = Rg [ 1 − μ tan θ tan θ + μ ​ ] ​ = 300 × g × [ 1 − 0.2 × tan 3 0 ∘ tan 3 0 ∘ + 0.2 ​ ] ​ = 300 × 10 × [ 1 − 0.2 × 0.57 0.57 + 0.2 ​ ] ​ V m a x ​ = 51.4 m / s ​

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