Angle of banking Calculator

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%
✖Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.ⓘ Radius of Circular Path [r]			+10% -10%

✖Angle of Banking is the angle at which a curve or a turn is banked to balance the centrifugal force of a turning vehicle.ⓘ Angle of banking [θ_b]

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Angle of banking Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path))
θ_b = atan((v^2)/([g]*r))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of Banking - (Measured in Radian) - Angle of Banking is the angle at which a curve or a turn is banked to balance the centrifugal force of a turning vehicle.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Radius of Circular Path - (Measured in Meter) - Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.

STEP 1: Convert Input(s) to Base Unit

Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Circular Path: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_b = atan((v^2)/([g]*r)) --> atan((60^2)/([g]*100))

Evaluating ... ...

θ_b = 1.30484245359045

STEP 3: Convert Result to Output's Unit

1.30484245359045 Radian -->74.7619655202416 Degree (Check conversion here)

FINAL ANSWER

74.7619655202416 ≈ 74.76197 Degree <-- Angle of Banking

(Calculation completed in 00.010 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< Principal Parameters Calculators

Maximum velocity to avoid overturning of vehicle along level circular path

LaTeX Go Velocity = sqrt(([g]*Radius of Circular Path*Distance between Center Lines of two Wheels)/(2*Gauge of Track))

Force of attraction between two masses separated by distance

LaTeX Go Gravitational Force of Attraction = ([G.]*Mass of First Particle*Mass of Second Particle)/(Distance between two Masses^2)

Superelevation in railways

LaTeX Go Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path)

Angle of banking

LaTeX Go Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path))

Angle of banking Formula

LaTeX Go

Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path))
θ_b = atan((v^2)/([g]*r))

What is Banking of Road?

In case of roadways, the outer edge is raised with respect to the inner edge of the road surface. The amount, by which the outer edge is raised is known as cant or superelevation. The process of providing superelevation is known as banking of the road.

How to Calculate Angle of banking?

Angle of banking calculator uses Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path)) to calculate the Angle of Banking, Angle of banking formula is defined as the measure of the angle at which a vehicle's wheels need to be tilted to counteract the centrifugal force acting on it when it takes a turn, ensuring the vehicle's stability and preventing it from skidding or overturning. Angle of Banking is denoted by θ_b symbol.

How to calculate Angle of banking using this online calculator? To use this online calculator for Angle of banking, enter Velocity (v) & Radius of Circular Path (r) and hit the calculate button. Here is how the Angle of banking calculation can be explained with given input values -> 4283.545 = atan((60^2)/([g]*100)).

FAQ

What is Angle of banking?

Angle of banking formula is defined as the measure of the angle at which a vehicle's wheels need to be tilted to counteract the centrifugal force acting on it when it takes a turn, ensuring the vehicle's stability and preventing it from skidding or overturning and is represented as θ_b = atan((v^2)/([g]*r)) or Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path)). Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.

How to calculate Angle of banking?

Angle of banking formula is defined as the measure of the angle at which a vehicle's wheels need to be tilted to counteract the centrifugal force acting on it when it takes a turn, ensuring the vehicle's stability and preventing it from skidding or overturning is calculated using Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path)). To calculate Angle of banking, you need Velocity (v) & Radius of Circular Path (r). With our tool, you need to enter the respective value for Velocity & Radius of Circular Path and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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