Answer :
Final answer:
The banking angle of the railway track is approximately 4.16°.
Explanation:
The banking angle of the railway track can be calculated using the formula:
θ = arctan(v^2/gR)
where θ is the banking angle, v is the maximum speed of the train, g is the acceleration due to gravity, and R is the radius of curvature of the track.
Plugging in the values given in the question:
v = 15 m/s
R = 1500 m
g = 9.8 m/s^2
we can calculate the banking angle:
θ = arctan((15^2)/(9.8*1500))
θ ≈ 4.16°
Therefore, the banking angle of the railway track is approximately 4.16°.
