Corner Radius given Effective Weight of Car due to Banking Calculator

✖Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.ⓘ Bank Angle [Φ]			+10% -10%
✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity [V]			+10% -10%
✖Effective Weight is defined as the effective weight of the car due to banking.ⓘ Effective Weight [W_e]			+10% -10%
✖Mass of Vehicle is the total mass of the vehicle.ⓘ Mass of Vehicle [m]			+10% -10%

✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius given Effective Weight of Car due to Banking [R]

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Corner Radius given Effective Weight of Car due to Banking Solution

STEP 0: Pre-Calculation Summary

Formula Used

Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g])
R = (sin(Φ)*V^2)/((W_e/m-cos(Φ))*[g])
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

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

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.
Bank Angle - (Measured in Radian) - Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.
Cornering Velocity - (Measured in Meter per Second) - Cornering Velocity is the velocity of the vehicle during cornering.
Effective Weight - (Measured in Kilogram) - Effective Weight is defined as the effective weight of the car due to banking.
Mass of Vehicle - (Measured in Kilogram) - Mass of Vehicle is the total mass of the vehicle.

STEP 1: Convert Input(s) to Base Unit

Bank Angle: 0.05 Radian --> 0.05 Radian No Conversion Required
Cornering Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Effective Weight: 200 Kilogram --> 200 Kilogram No Conversion Required
Mass of Vehicle: 155 Kilogram --> 155 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (sin(Φ)*V^2)/((W_e/m-cos(Φ))*[g]) --> (sin(0.05)*16^2)/((200/155-cos(0.05))*[g])

Evaluating ... ...

R = 4.47468048689368

STEP 3: Convert Result to Output's Unit

4.47468048689368 Meter --> No Conversion Required

FINAL ANSWER

4.47468048689368 ≈ 4.47468 Meter <-- Corner Radius

(Calculation completed in 00.021 seconds)

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< Forces on Car Calculators

Effective Weight of Car due to Banking

LaTeX Go Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))

Cornering Velocity given Horizontal Lateral Acceleration

LaTeX Go Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)

Corner Radius given Horizontal Lateral Acceleration

LaTeX Go Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)

Horizontal Lateral Acceleration

LaTeX Go Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius)

Corner Radius given Effective Weight of Car due to Banking Formula

LaTeX Go

Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g])
R = (sin(Φ)*V^2)/((W_e/m-cos(Φ))*[g])

What are the factors affecting the angle of banking?

The angle of banking depends on the speed of the vehicle, the radius of the curved road and the acceleration due to gravity at that place. The angle of banking is independent of mass of the vehicle. Thus the angle of banking is the same for heavy and light vehicles. The angle of banking depends on the radius of the curved road. The angle of banking is inversely proportional to the radius of curvature. For the given radius of the curve, the angle of banking increases with the speed. For the given radius of the curve and speed of the vehicle angle of banking is inversely proportional to the acceleration due to gravity at that place. The acceleration due to gravity is more on the pole than that at the equator. Thus for the given radius of the curve and speed of the vehicle angle of banking is less at the pole than that at the equator.

How to Calculate Corner Radius given Effective Weight of Car due to Banking?

Corner Radius given Effective Weight of Car due to Banking calculator uses Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g]) to calculate the Corner Radius, The Corner Radius given Effective Weight of Car due to Banking formula is used to find the radius of the cornering circle from the angle of banking and the effective weight of the car due to the banking. Corner Radius is denoted by R symbol.

How to calculate Corner Radius given Effective Weight of Car due to Banking using this online calculator? To use this online calculator for Corner Radius given Effective Weight of Car due to Banking, enter Bank Angle (Φ), Cornering Velocity (V), Effective Weight (W_e) & Mass of Vehicle (m) and hit the calculate button. Here is how the Corner Radius given Effective Weight of Car due to Banking calculation can be explained with given input values -> 4.47468 = (sin(0.05)*16^2)/((200/155-cos(0.05))*[g]).

FAQ

What is Corner Radius given Effective Weight of Car due to Banking?

The Corner Radius given Effective Weight of Car due to Banking formula is used to find the radius of the cornering circle from the angle of banking and the effective weight of the car due to the banking and is represented as R = (sin(Φ)*V^2)/((W_e/m-cos(Φ))*[g]) or Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g]). Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft, Cornering Velocity is the velocity of the vehicle during cornering, Effective Weight is defined as the effective weight of the car due to banking & Mass of Vehicle is the total mass of the vehicle.

How to calculate Corner Radius given Effective Weight of Car due to Banking?

The Corner Radius given Effective Weight of Car due to Banking formula is used to find the radius of the cornering circle from the angle of banking and the effective weight of the car due to the banking is calculated using Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g]). To calculate Corner Radius given Effective Weight of Car due to Banking, you need Bank Angle (Φ), Cornering Velocity (V), Effective Weight (W_e) & Mass of Vehicle (m). With our tool, you need to enter the respective value for Bank Angle, Cornering Velocity, Effective Weight & Mass of Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Corner Radius?

In this formula, Corner Radius uses Bank Angle, Cornering Velocity, Effective Weight & Mass of Vehicle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)

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