Question

A train is running on a circular track of radius 2 km at the rate of 40 km per hour. Find the angle, to the nearest minute, through which it will turn in 30 seconds? ​

Answer 1

Step-by-step explanation:

A train is running on a circular track of radius 2 km at the rate of 40 km per hour. Find the angle, to the nearest minute, through which it will turn in 30 seconds?

Answer 2

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

$C=2\pi rC=2πr$

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

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

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

i.e. train covers

$36\times \frac{5}{18}$

×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

$17^\circ18'17$