Find the maximum velocity with which a train can be moved on a circular track of radius 200 m.The banking of the track is 5.71°(Given, tan5.71°= 0.1)

Options

(a) 1.4 m/s
(b) 14 m/s
(c) 140 m/s
(d) 0.14 m/s

Correct Answer:

14 m/s

Explanation:

tan θ = v²/rg
⇒ v = √(rg tan θ) = √(200 x 10 tan 5.71)
= √(200 x 10 x 0.1)
= 14.14 m/s = 14 m/s.