14. A train is moving on a circular curve of radius 1500 m at the rate
o m
per hour. Through what angle has it turned in 10 seconds
wirelenth 12 cmis bent en as to be along the are of a circle of radius
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Answer:
Solution :
- The trained turned by 0.1222 Radian (angular measurement) in 10 seconds which is equal to 7 degrees (approximately).
- 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
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