Question

a train is moving on a circular curve of radius 1500m @ 66 km per hour.through what angle has it moved in 10secs

Answer 1

Given : a circle with radius r = 1500 m

a train is moving on a circular curve at rate of 66km per hour

therefore speed = 66 km per hr = 66*1000 / 3600

=18.33 m per sec

1 sec the distance covered= 18.33 m

10 sec................................= 18.333*10= 183.33m

 

now as we know theta (i.e angle) = arc/ radius 

                                                  = 183.33 / 1500          =0.122 radians is the required angle covered Answer

 

Answer 2

speed. of train=66/5 km/h
= 66/5×5/18=66/18=22/6 m/s
distance covered in 10s=(22/6)×10=220/6m=110/3 m.

circumference of circular curve=2πr
2π×1500=3000π m.

agme made in 3000π m=360°
angle made in 1m=(360/3000π)°
angle made in 110/3m=(360/3000π)×(110/3)

calculation in pic...

hope I m right....
if yes....


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