I. An engine is travelling along a circular railway track of radius 15

1.	I. An engine is travelling along a circular railway track of radius 1500 metres with a speedof 60 km/h. Find the angle in degrees turned by the engine in 10 seconds.
Answer» A railway train is travelling on a circular curve of 1500m radius at the rate of 60 km/hr.Through what angle has it turned in 10 seconds. Radius of the track (r) = 1500 m Speed of the train = 60*1000/3600 = 50/3 m/s So, circumference of the path = 2(22/7)(1500) = 66000/7 m So, distance travelled in 10 sec. = 10 (50/3) m = 500/3 m So, angular displacement is ¤ = l/r = (500/3) / 1500 = 1/9

I. An engine is travelling along a circular railway track of radius 1500 metres with a speedof 60 km/h. Find the angle in degrees turned by the engine in 10 seconds.

Answer»

A railway train is travelling on a circular curve of 1500m radius at the rate of 60 km/hr.Through what angle has it turned in 10 seconds.

Radius of the track (r) = 1500 m

Speed of the train = 60*1000/3600 = 50/3 m/s

So, circumference of the path

= 2(22/7)(1500)

= 66000/7 m

So, distance travelled in 10 sec.

= 10 (50/3) m

= 500/3 m

So, angular displacement is

¤ = l/r

= (500/3) / 1500

= 1/9