Question

if a train is moving on the circular path of 1500m radius at the rate of 66km per hour,find the angle in radian,if it has in 10sec

Answer 1

Ans:
Given - The radius of the circular curve = 1500 m

The speed of the train = 66 km per hour

Speed of the train converted to m/second = (66*1000)/3600

⇒ 66000/3600

Speed of the train = 18.333 m per second

In 1 second, distance is covered = 18.333 m

In 10 seconds, distance is covered = 18.333*10

= 183.333 m

Angle turned by the train moving on the circular curve in 10 seconds

= arc it made by moving on circular curve/radius of the circular curve

⇒ 183.333/1500

= 0.1222

Hence, the trained turned by 0.1222 Radian (angular measurement) in 10 seconds which is equal to 7 degrees (approximately).