Question
Download Solution PDFA car moves at a speed of 20 ms−1 on a banked track and describes an arc of a circle of radius 40√3 m. The angle of banking is (g = 10 ms−2)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The angle of banking (θ) can be found using the formula:
tan θ = v2 / (r × g)
Calculation:
Speed of the car, v = 20 m/s
Radius of the circular track, r = 40√3 m
Gravitational acceleration, g = 10 m/s2
Using the given values:
⇒ tan θ = (20)2 / (40√3 × 10)
⇒ tan θ = 400 / (400√3)
⇒ tan θ = 1/√3
We know that:
⇒ θ = 30º
∴ The angle of banking is 30º.
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