Cornering Velocity given Effective Weight of Car due to Banking Calculator

✖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%
✖Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.ⓘ Bank Angle [Φ]			+10% -10%
✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius [R]			+10% -10%

✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity given Effective Weight of Car due to Banking [V]

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Cornering Velocity given Effective Weight of Car due to Banking Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle))
V = sqrt((W_e/m-cos(Φ))*(R*[g])/sin(Φ))
This formula uses 1 Constants, 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Bank Angle - (Measured in Radian) - Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.
Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.

STEP 1: Convert Input(s) to Base Unit

Effective Weight: 200 Kilogram --> 200 Kilogram No Conversion Required
Mass of Vehicle: 155 Kilogram --> 155 Kilogram No Conversion Required
Bank Angle: 0.05 Radian --> 0.05 Radian No Conversion Required
Corner Radius: 160 Meter --> 160 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt((W_e/m-cos(Φ))*(R*[g])/sin(Φ)) --> sqrt((200/155-cos(0.05))*(160*[g])/sin(0.05))

Evaluating ... ...

V = 95.6751075143127

STEP 3: Convert Result to Output's Unit

95.6751075143127 Meter per Second --> No Conversion Required

FINAL ANSWER

95.6751075143127 ≈ 95.67511 Meter per Second <-- Cornering Velocity

(Calculation completed in 00.004 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)

Cornering Velocity given Effective Weight of Car due to Banking Formula

LaTeX Go

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

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 Cornering Velocity given Effective Weight of Car due to Banking?

Cornering Velocity given Effective Weight of Car due to Banking calculator uses Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle)) to calculate the Cornering Velocity, The Cornering Velocity given Effective Weight of Car due to Banking formula is used to find the the velocity of the car during the cornering from the weight of the vehicle experienced during cornering. Cornering Velocity is denoted by V symbol.

How to calculate Cornering Velocity given Effective Weight of Car due to Banking using this online calculator? To use this online calculator for Cornering Velocity given Effective Weight of Car due to Banking, enter Effective Weight (W_e), Mass of Vehicle (m), Bank Angle (Φ) & Corner Radius (R) and hit the calculate button. Here is how the Cornering Velocity given Effective Weight of Car due to Banking calculation can be explained with given input values -> 23.91878 = sqrt((200/155-cos(0.05))*(160*[g])/sin(0.05)).

FAQ

What is Cornering Velocity given Effective Weight of Car due to Banking?

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

How to calculate Cornering Velocity given Effective Weight of Car due to Banking?

The Cornering Velocity given Effective Weight of Car due to Banking formula is used to find the the velocity of the car during the cornering from the weight of the vehicle experienced during cornering is calculated using Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle)). To calculate Cornering Velocity given Effective Weight of Car due to Banking, you need Effective Weight (W_e), Mass of Vehicle (m), Bank Angle (Φ) & Corner Radius (R). With our tool, you need to enter the respective value for Effective Weight, Mass of Vehicle, Bank Angle & Corner Radius 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 Cornering Velocity?

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

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

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