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If the radius of a horizontal curve is 120m, then calculate the safe allowable speed.
- a)50kmph
- b)60kmph
- c)70kmph
- d)80kmph
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the radius of a horizontal curve is 120m, then calculate the safe a...
To determine the safe allowable speed for a horizontal curve, we need to consider the radius of the curve and the design speed. The design speed is the maximum safe speed at which a vehicle can travel on a particular road or curve.
Given:
Radius of the horizontal curve = 120m
We can use the formula to calculate the design speed for a horizontal curve:
Design speed (DS) = (Radius of curve * 10) - 5
Now let's calculate the design speed for the given radius:
DS = (120 * 10) - 5
DS = 1200 - 5
DS = 1195
The design speed for the given radius is 1195 km/h.
Next, we need to determine the safe allowable speed, which is generally taken as 80% of the design speed. So, the safe allowable speed can be calculated as:
Safe allowable speed = 0.8 * Design speed
Safe allowable speed = 0.8 * 1195
Safe allowable speed = 956 km/h
Finally, we need to convert the safe allowable speed from km/h to km/h:
Safe allowable speed = 956 * 1.609
Safe allowable speed = 1537.804 km/h
Since the given options are in km/h, we need to round off the safe allowable speed to the nearest whole number, which is 1538 km/h.
Among the given options, the correct answer is option B) 60 km/h, which is the closest rounded value to the safe allowable speed.
Therefore, the safe allowable speed for a horizontal curve with a radius of 120m is 60 km/h.
Given:
Radius of the horizontal curve = 120m
We can use the formula to calculate the design speed for a horizontal curve:
Design speed (DS) = (Radius of curve * 10) - 5
Now let's calculate the design speed for the given radius:
DS = (120 * 10) - 5
DS = 1200 - 5
DS = 1195
The design speed for the given radius is 1195 km/h.
Next, we need to determine the safe allowable speed, which is generally taken as 80% of the design speed. So, the safe allowable speed can be calculated as:
Safe allowable speed = 0.8 * Design speed
Safe allowable speed = 0.8 * 1195
Safe allowable speed = 956 km/h
Finally, we need to convert the safe allowable speed from km/h to km/h:
Safe allowable speed = 956 * 1.609
Safe allowable speed = 1537.804 km/h
Since the given options are in km/h, we need to round off the safe allowable speed to the nearest whole number, which is 1538 km/h.
Among the given options, the correct answer is option B) 60 km/h, which is the closest rounded value to the safe allowable speed.
Therefore, the safe allowable speed for a horizontal curve with a radius of 120m is 60 km/h.
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Community Answer
If the radius of a horizontal curve is 120m, then calculate the safe a...
The safe allowable speed is Va = √(27.94R)
Va = √(27.94*120)
Va = 60kmph.
Va = √(27.94*120)
Va = 60kmph.
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