A road curve is banked so that there is no side thrust on the passengers in a car which negotiate the curve at 72 km/h speed. Find the angle of banking for a circular curve making a 90 ° turn in a distance of 157 m along the road.
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Explanation:
Given A road curve is banked so that there is no side thrust on the passengers in a car which negotiate the curve at 72 km/h speed. Find the angle of banking for a circular curve making a 90 ° turn in a distance of 157 m along the road.
- Given v = 72 km / h = 72 x 5/18
- = 20 m/s
- In a distance the circular curve makes a 90 degree turn at a distance of 157 m along the road.
- Area of sphere is equal to radius of sphere x π times square of diameter.
- So 2 πr / 4 = 157 (length of arc)
- So 2πr = 628
- Or r = 100 m
- Now tan theta = v^2 / rg
- = 400 / 100 x 9.8
- = 0.408
- Or theta = tan^-1 (0.408)
- = 22.19 degree
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https://brainly.in/question/5723078
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Answer:
22.19deegree will be the answer
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