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 turns in 30 seconds.​

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is 17 def 11 min

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$\huge\sf\blue{Given}$

✭ A train is running on a circular track of radius 1km

✭ Speed = 36 km/h

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$\huge\sf\gray{To \:Find}$

☆ The angle to the nearest minute through which it turns in 30 sec?

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$\huge\sf\purple{Steps}$

Let's first find the Circumference of the track,

➝ $\sf Circumference = 2\pi r$

➝ $\sf Circumference = 2×\frac{22}{7}×1000$

➝ $\sf Circumference = \frac{44000}{7} m$

So now the Distance travelled by the train

➢ $\sf 36 × \dfrac{5}{18} × 30$

➢ $\sf\red{300 \ m \ in 30 \ sec}$

Train turning Angle

➳ $\sf \frac{300}{\dfrac{44000}{7}} × 360$

➳ $\sf 300 × 7 × \frac{360}{44000}$

➳ $\sf \orange{17^\circ 11 minutes}$

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Answer 2

hope it helped you friend