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Banking of road
tan θ = v²/(rg)
Where: g = acceleration due to gravity (m/s²), r = radius / distance (m), θ = angle, v = final velocity / speed (m/s)
Solved example
Given: r = 7, theta = 45°, v = 10
Find: g (acceleration due to gravity (m/s²))
- Formula: tan(θ) = v²/(g·r)
- Rearranged for g: g = v²/(r·tan(θ))
- Substitute the values: g = 10²/(7·tan(45°))
- Result: g = 14.285714
Answer: g = 14.285714
Calculator
How to calculate Banking of road
- Write down the formula: tan θ = v²/(rg).
- Note the known values (r, θ, v).
- Substitute them and simplify to find g.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Banking of road?
The formula is tan θ = v²/(rg), where g = acceleration due to gravity (m/s²), r = radius / distance (m), θ = angle, v = final velocity / speed (m/s).
What is Banking of road when r = 7, theta = 45°, v = 10?
g = 14.285714. Substitute the values into tan θ = v²/(rg) and simplify.