a railway train is travelling on a circular path of 500m radius at the rate of 40km/hr . through what angle in degree has it moved in 10sec
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train is moving on a circular curve of radius 1500m at the rate of 66km per hour. Through what angle has it turned in 10 seconds?
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Answer
Correct option is
B
45
11
rad
Radius of circular curve, R=1500m
Speed of trains, S=66 km/hr
Sonverting speed of train into m/sec
Speed of train =66×
18
5
=
3
110
m/s
Time travelled, t=10 sec
Distance converted, d=s×t
=
3
110
×10=
3
1100
m
circumference of circular curve, C=2πR
=2×
7
22
×1500
=
7
66000
m
As d<c, revolutions completed =0
Angles turned , θ=
c
d
×2π radians
=
(66000/7)
(1100/3)
×2×
7
22
=
180
44
radians
=
45
11
radians
Angle turned =
45
11
radians