Question

A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66km/hr. Through what angle has it turned in 10 seconds.

Answer 1

Hey!

®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®

Radius(Track)=1500 m

Speed =66×1000/3600

=55/3 m/sec

C of path

=2×22/7×1500

=66000/7

Distance travel in 10 s

=10×(55/3)

=550/3

Angular displacement

=>Φ=l/r

=550÷3/1500

=11/90

®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®®

Regards :)

Yash Raj ✌

Answer 2

Lets assume at start point P parallel to line X
It travels for 10 seconds at 66 km/hr = 18 1/3 m/s
Distance travelled = 18.33 * 10 = 183.33 m
This the length of arc travelled
So length of arc = (angle in radians) * pi * (radius of curve)
angle in radians = ( length of arc) / (pi * (radius of curve))
angle in radians = 183.333 / (3.14 * 1500) = 0.03890454164
angle in degree = 2.2290660398685