Total Static Mass of Car given Effective Weight during Banking Calculator

✖Effective Weight is defined as the effective weight of the car due to banking.ⓘ Effective Weight [W_e]			+10% -10%
✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity [V]			+10% -10%
✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius [R]			+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%

✖Mass of Vehicle is the total mass of the vehicle.ⓘ Total Static Mass of Car given Effective Weight during Banking [m]

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Total Static Mass of Car given Effective Weight during Banking Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Mass of Vehicle - (Measured in Kilogram) - Mass of Vehicle is the total mass of the vehicle.
Effective Weight - (Measured in Kilogram) - Effective Weight is defined as the effective weight of the car due to banking.
Cornering Velocity - (Measured in Meter per Second) - Cornering Velocity is the velocity of the vehicle during cornering.
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.

STEP 1: Convert Input(s) to Base Unit

Effective Weight: 200 Kilogram --> 200 Kilogram No Conversion Required
Cornering Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Corner Radius: 160 Meter --> 160 Meter No Conversion Required
Bank Angle: 0.05 Radian --> 0.05 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = W_e/((V^2)/(R*[g])*(sin(Φ)+cos(Φ))) --> 200/((16^2)/(160*[g])*(sin(0.05)+cos(0.05)))

Evaluating ... ...

m = 1168.87274765505

STEP 3: Convert Result to Output's Unit

1168.87274765505 Kilogram --> No Conversion Required

FINAL ANSWER

1168.87274765505 ≈ 1168.873 Kilogram <-- Mass of Vehicle

(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)

Total Static Mass of Car given Effective Weight during Banking Formula

LaTeX Go

Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)))
m = W_e/((V^2)/(R*[g])*(sin(Φ)+cos(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 Total Static Mass of Car given Effective Weight during Banking?

Total Static Mass of Car given Effective Weight during Banking calculator uses Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))) to calculate the Mass of Vehicle, The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known. Mass of Vehicle is denoted by m symbol.

How to calculate Total Static Mass of Car given Effective Weight during Banking using this online calculator? To use this online calculator for Total Static Mass of Car given Effective Weight during Banking, enter Effective Weight (W_e), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ) and hit the calculate button. Here is how the Total Static Mass of Car given Effective Weight during Banking calculation can be explained with given input values -> 73.05455 = 200/((16^2)/(160*[g])*(sin(0.05)+cos(0.05))).

FAQ

What is Total Static Mass of Car given Effective Weight during Banking?

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

How to calculate Total Static Mass of Car given Effective Weight during Banking?

The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known is calculated using Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))). To calculate Total Static Mass of Car given Effective Weight during Banking, you need Effective Weight (W_e), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ). With our tool, you need to enter the respective value for Effective Weight, Cornering Velocity, Corner Radius & Bank Angle 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 Mass of Vehicle?

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

Mass of Vehicle = -(Roll Gradient/([g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)))

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