Question

a. A train is traveling in a circular track of 53 km radius at 44 km per hour. Find in degrees the angle through which it turns in 1 minute.​

Answer 1

0.38 degrees.

Explanation:

C = 2π(53) = 106π km

The train is traveling at a speed of 44 km/h, which is equivalent to (44/60) km/min since there are 60 minutes in an hour.

d = (44/60) km/min

θ = (d / C) x 360°

θ = [(44/60) / (106π)] x 360°

θ ≈ 0.38°

Therefore, the angle through which the train turns in 1 minute is approximately 0.38 degrees.

Answer 2

train turns through an angle of approximately 0.7917 degrees in 1 minute.