Question

A railway engine is travelling along a circular railway track of radius 1500 meters with a speed

of 66 km/hour. The angle turned by the engine in 10 seconds is​

Answer 1

Answer:

13degree per 10 seconds

Answer 2

☆ Solution ☆

Given :-

• A railway engine is travelling along a circular railway track of radius 1500 meters with a speed of 66 km/hour.

To Find :-

• The angle turned by the engine in 10 seconds.

Step-by-Step-Explaination :-

Speed = 66 km /hr

1 km = 1000 m

1 hr = 3600 seconds

Speed in m/s = $\frac{66\times 1000}{3600} = \frac{110}{6}m/s$

Time = 10 seconds

As we know that :-

Formula of distance = Speed × Time

Putting the values

Distance = $\frac{110}{6}\times 10$

Distance = $\frac{1100}{6}$

Distance = $\frac{110}{6}m$

Length of arc = $\frac{1100}{6}$

Radius of track is 1500 m

As we know that :-

Formula of length of arc = $\frac{ \theta }{360} \times 2\pi \: r$

$\frac{1100}{6} = \frac{ \theta}{360}\times 2 \times \frac{22}{7} \times 1500$

$\theta = 7$

Hence ,

The angle in degrees turned by the engine in 10 second is 7 °.