Question

A train is running on a circular track of
radius 1 km at the rate of 36 km per
hour. Find the angle to the nearest
minute, through which it will turn in 30
seconds.
(11th std question)​

Answer 1

Answer:

Circumference of track = 2πr

= 2 x 22/7 x 1 = 44/7 km = 44000/7 m

Train covers 36 x 5/18 x 30 = 300 m in 30 seconds.

=> Train turns 300 /(44000/7) x 360°

= 300 x 7 x 360/44000 = 17°11′

Regards !