A train is running on a circular track of radius 1 km at the rate of 36 km per hour. What is the angle to the nearest minute through which it will turn in 30 seconds?
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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′
= 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′
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