A train is moving on a circular curve of radius 1500m at the rate of 66km per hour. Through what angles has it turned in 10seconds?
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298
Solution :-
Given - The radius of the circular curve = 1500 m
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).
Answer.
Given - The radius of the circular curve = 1500 m
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).
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