Question

A TRAIN IS RUNNING ON A CIRCULAR TRACK OF RADIUS 1KM.AT THE RATE OF 36 KM PER HOUR.THEN THE ANGLE TO THE NEAREST MINUTE,THROUGH WHICH IT WILL TURN IN 30 SECONDS IS?

Answer 1

Use angle arc relation formula

Answer 2

Answer:

The train turns with angle $17^\circ18'$

Step-by-step explanation:

Given : A train is running on a circular track of radius 1 km. At the rate of 36 km per hour.

To find : The angle to the nearest minute, through which it will turn in 30 seconds is ?

Solution :

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

The circumference of track is $C=2\pi r$

$C=2\times \frac{22}{7}\times 1=\frac{44}{7}\ km$

$C=\frac{44000}{7}\ m$

Train is running at the rate of 36 km per hour.

i.e. train covers $36\times \frac{5}{18} \times 30=300\ m$ in 30 seconds

The train turns with angle $\frac{300}{\frac{44000}{7}}\times 360^\circ$

The train turns with angle $17.18^\circ$

The train turns with angle $17^\circ18'$