Banking Of Roads
Mediumphysics
A car moves on a circular banked road of radius 100 m with a speed of 20 m/s. What should be the angle of banking if no friction is required? (g = 10 m/s²)
Select the correct option:
Solution
Incorrect! Answer:
tan⁻¹(0.4)
- Ideal Banking: For a car to turn without relying on friction, the horizontal component of the normal force must provide the entire centripetal force.
- Formula: tanθ=rgv2.
- Substitute Values:
- v=20 m/s ⟹v2=400.
- r=100 m.
- g=10 m/s2.
- Calculation:
- tanθ=100×10400=1000400=0.4.
- Inverse: θ=tan−1(0.4).
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- banking of roads
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
tan⁻¹(0.4)
- Ideal Banking: For a car to turn without relying on friction, the horizontal component of the normal force must provide the entire centripetal force.
- Formula: tanθ=rgv2.
- Substitute Values:
- v=20 m/s ⟹v2=400.
- r=100 m.
- g=10 m/s2.
- Calculation:
- tanθ=100×10400=1000400=0.4.
- Inverse: θ=tan−1(0.4).
This medium difficulty physics question is from the chapter laws of motion, covering the topic of banking of roads. It appeared in the 2025 exam.
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