Question

if a railway train is travelling on a circlular curve of 1400 m radius at the rate of 56km per hour,then the angle it has turned in 10 secs is

Answer 1

Radius: 1500 m.

Speed: 90 kmph

Time: 11 sec

Converting speed to m/s units.

(90x1000)/3600 m/sec = 25 m/s.

1st Method.

Total distance for one complete rev=

=2 x π x r

=2x(22/7)x1500

=9428 m (approx)

Distance covered in 11 seconds=

=25x11

=275 metres

Since,distance covering of 9428 metres would mean covering of one complete revolution,i.e 360 degrees. So,for 275 metres:

=(360/9428)x275

=10.5 degrees.

2nd Method.

Angular Velocity=Radial Velocity/Radius

Angular Velocity= 25/1500 rad/sec

Angular Displacement=

=25/1500 x11

=275/1500 radians

Radians to degrees:

=(275/1500) x 57.296

=10.54 degrees.

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Answer 2

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