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A train is travelling on a curve of 350 m radius at 7 Km/hr. Through what angle will it turn in one minute?
- a)50 radian
- b)3 radian
- c)1/20 radian
- d)1/3 radian
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A train is travelling on a curve of 350 m radius at 7 Km/hr. Through w...
length of arc = 350m
Speed = 7km/hr
In one minute = (7*5/18*60)
=> (35*20)/6
= length of arc/radius
θ = (35*20)/(6*350)
θ = 1/3 radian
Speed = 7km/hr
In one minute = (7*5/18*60)
=> (35*20)/6
= length of arc/radius
θ = (35*20)/(6*350)
θ = 1/3 radian
Most Upvoted Answer
A train is travelling on a curve of 350 m radius at 7 Km/hr. Through w...
R=350 it moves in 7km/h it also = 7500/60=750/6m/min so theta=s/r so ans 1/3rad
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A train is travelling on a curve of 350 m radius at 7 Km/hr. Through w...
To find the angle through which the train will turn in one minute, we need to first convert the speed from km/hr to m/s.
Given:
Radius of the curve (r) = 350 m
Speed of the train (v) = 7 km/hr
Converting the speed:
Speed in m/s = (7 km/hr) * (1000 m/1 km) * (1 hr/3600 s)
Speed in m/s = (7 * 1000) / (3600) = 1.944 m/s
The distance covered by the train in one minute is given by:
Distance = Speed * Time
Distance = 1.944 m/s * 60 s = 116.64 m
To find the angle through which the train turns, we can use the formula:
Angle (in radians) = Distance / Radius
Substituting the values:
Angle (in radians) = 116.64 m / 350 m
Simplifying the expression:
Angle (in radians) = 0.333 radian
Therefore, the train will turn through an angle of approximately 0.333 radians in one minute.
Hence, the correct answer is option D) 1/3 radian.
Given:
Radius of the curve (r) = 350 m
Speed of the train (v) = 7 km/hr
Converting the speed:
Speed in m/s = (7 km/hr) * (1000 m/1 km) * (1 hr/3600 s)
Speed in m/s = (7 * 1000) / (3600) = 1.944 m/s
The distance covered by the train in one minute is given by:
Distance = Speed * Time
Distance = 1.944 m/s * 60 s = 116.64 m
To find the angle through which the train turns, we can use the formula:
Angle (in radians) = Distance / Radius
Substituting the values:
Angle (in radians) = 116.64 m / 350 m
Simplifying the expression:
Angle (in radians) = 0.333 radian
Therefore, the train will turn through an angle of approximately 0.333 radians in one minute.
Hence, the correct answer is option D) 1/3 radian.
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A train is travelling on a curve of 350 m radius at 7 Km/hr. Through what angle will it turn in one minute?a)50 radianb)3 radianc)1/20 radiand)1/3 radianCorrect answer is option 'D'. Can you explain this answer?
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