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Total Vehicle Mass given Rear Lateral Load Transfer Formula

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Mass of Vehicle is the total mass of the vehicle. Check FAQs

m = \frac{W r - \frac{a}{b} \cdot Z rr}{\frac{A y}{[g]} \cdot \frac{1}{t r} \cdot H \cdot \frac{K Φr}{K Φf + K Φr}}

m - Mass of Vehicle?W_r - Rear Lateral Load Transfer?a - Horizontal Distance of C.G. from Front Axle?b - Wheelbase of Vehicle?Z_rr - Rear Roll Centre Height?A_y - Lateral Acceleration?t_r - Rear Track Width?H - Centre of Gravity Distance to Roll Axis?K_Φr - Rear Roll Rate?K_Φf - Front Roll Rate?[g] - Gravitational acceleration on Earth?

Total Vehicle Mass given Rear Lateral Load Transfer Example

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Here is how the Total Vehicle Mass given Rear Lateral Load Transfer equation looks like with Values.

Here is how the Total Vehicle Mass given Rear Lateral Load Transfer equation looks like with Units.

Here is how the Total Vehicle Mass given Rear Lateral Load Transfer equation looks like.

155.0037 = \frac{161.87 - \frac{27}{2.7} \cdot 0.0762}{\frac{9.81}{9.8066} \cdot \frac{1}{1.4} \cdot 3.4907 \cdot \frac{67800}{94900 + 67800}}

155.0037kg = \frac{161.87kg - \frac{27m}{2.7m} \cdot 0.0762m}{\frac{9.81m/s²}{9.8066m/s²} \cdot \frac{1}{1.4m} \cdot 3.4907m \cdot \frac{67800Nm/rad}{94900Nm/rad + 67800Nm/rad}}

155.0037 = \frac{161.87 - \frac{27}{2.7} \cdot 0.0762}{\frac{9.81}{9.8066} \cdot \frac{1}{1.4} \cdot 3.4907 \cdot \frac{67800}{94900 + 67800}}

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Total Vehicle Mass given Rear Lateral Load Transfer Solution

Follow our step by step solution on how to calculate Total Vehicle Mass given Rear Lateral Load Transfer?

FIRST Step Consider the formula

m = \frac{W r - \frac{a}{b} \cdot Z rr}{\frac{A y}{[g]} \cdot \frac{1}{t r} \cdot H \cdot \frac{K Φr}{K Φf + K Φr}}

Next Step Substitute values of Variables

∴

m = \frac{161.87kg - \frac{27m}{2.7m} \cdot 0.0762m}{\frac{9.81m/s²}{[g]} \cdot \frac{1}{1.4m} \cdot 3.4907m \cdot \frac{67800Nm/rad}{94900Nm/rad + 67800Nm/rad}}

Next Step Substitute values of Constants

∴

m = \frac{161.87kg - \frac{27m}{2.7m} \cdot 0.0762m}{\frac{9.81m/s²}{9.8066m/s²} \cdot \frac{1}{1.4m} \cdot 3.4907m \cdot \frac{67800Nm/rad}{94900Nm/rad + 67800Nm/rad}}

Next Step Prepare to Evaluate

∴

m = \frac{161.87 - \frac{27}{2.7} \cdot 0.0762}{\frac{9.81}{9.8066} \cdot \frac{1}{1.4} \cdot 3.4907 \cdot \frac{67800}{94900 + 67800}}

Next Step Evaluate

∴

m = 155.003727912927kg

LAST Step Rounding Answer

∴

m = 155.0037kg

Total Vehicle Mass given Rear Lateral Load Transfer Formula Elements

Variables

Constants

Mass of Vehicle

Mass of Vehicle is the total mass of the vehicle.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Vehicle

Rear Lateral Load Transfer

Rear Lateral Load Transfer is the load transfer in the rear wheels due to lateral acceleration.

Symbol: W_r

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Rear Lateral Load Transfer

Horizontal Distance of C.G. from Front Axle

Horizontal Distance of C.G. from Front Axle is the distance of vehicle's center of gravity(C.G.) form front axle measured along wheelbase of vehicle.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance of C.G. from Front Axle

Wheelbase of Vehicle

Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wheelbase of Vehicle

Rear Roll Centre Height

Rear Roll Centre Height is the height of the notional point at which the cornering forces in the suspension are reacted to the vehicle body.

Symbol: Z_rr

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rear Roll Centre Height

Lateral Acceleration

Lateral Acceleration is the acceleration in the lateral direction when the vehicle is cornering.

Symbol: A_y

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Lateral Acceleration

Rear Track Width

Rear Track Width is the distance between the centres of the rear wheels.

Symbol: t_r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rear Track Width

Centre of Gravity Distance to Roll Axis

Centre of Gravity Distance to Roll Axis is the distance between the centre of gravity and the roll axis.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Centre of Gravity Distance to Roll Axis

Rear Roll Rate

Rear Roll Rate is the stiffness of your car in the roll mode. Or one can say, it is the roll angle per unit lateral acceleration.

Symbol: K_Φr

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Rear Roll Rate

Front Roll Rate

Front Roll Rate is the stiffness of your car in the roll mode. Or one can say, it is the roll angle per unit lateral acceleration.

Symbol: K_Φf

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Front Roll Rate

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Rear Lateral Load Transfer category

Go Rear Lateral Load Transfer

W r = \frac{A y}{[g]} \cdot \frac{m}{t r} \cdot H \cdot \frac{K Φr}{K Φf + K Φr} + \frac{a}{b} \cdot Z rr

Go Lateral Acceleration given Rear Lateral Load Transfer

A y = \frac{W r - \frac{a}{b} \cdot Z rr}{\frac{1}{[g]} \cdot \frac{m}{t r} \cdot H \cdot \frac{K Φr}{K Φf + K Φr}}

How to Evaluate Total Vehicle Mass given Rear Lateral Load Transfer?

Total Vehicle Mass given Rear Lateral Load Transfer evaluator uses Mass of Vehicle = (Rear Lateral Load Transfer-Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height)/(Lateral Acceleration/[g]*1/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)) to evaluate the Mass of Vehicle, The Total vehicle mass given rear lateral load transfer formula is used to find the mass of all the components of the entire vehicle when the rear lateral load transfer is used. Mass of Vehicle is denoted by m symbol.

How to evaluate Total Vehicle Mass given Rear Lateral Load Transfer using this online evaluator? To use this online evaluator for Total Vehicle Mass given Rear Lateral Load Transfer, enter Rear Lateral Load Transfer (W_r), Horizontal Distance of C.G. from Front Axle (a), Wheelbase of Vehicle (b), Rear Roll Centre Height (Z_rr), Lateral Acceleration (A_y), Rear Track Width (t_r), Centre of Gravity Distance to Roll Axis (H), Rear Roll Rate (K_Φr) & Front Roll Rate (K_Φf) and hit the calculate button.

FAQs on Total Vehicle Mass given Rear Lateral Load Transfer

What is the formula to find Total Vehicle Mass given Rear Lateral Load Transfer?

The formula of Total Vehicle Mass given Rear Lateral Load Transfer is expressed as Mass of Vehicle = (Rear Lateral Load Transfer-Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height)/(Lateral Acceleration/[g]*1/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)). Here is an example- 154.5919 = (161.87-27/2.7*0.0762)/(9.81/[g]*1/1.4*3.4907*67800/(94900+67800)).

How to calculate Total Vehicle Mass given Rear Lateral Load Transfer?

With Rear Lateral Load Transfer (W_r), Horizontal Distance of C.G. from Front Axle (a), Wheelbase of Vehicle (b), Rear Roll Centre Height (Z_rr), Lateral Acceleration (A_y), Rear Track Width (t_r), Centre of Gravity Distance to Roll Axis (H), Rear Roll Rate (K_Φr) & Front Roll Rate (K_Φf) we can find Total Vehicle Mass given Rear Lateral Load Transfer using the formula - Mass of Vehicle = (Rear Lateral Load Transfer-Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height)/(Lateral Acceleration/[g]*1/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Total Vehicle Mass given Rear Lateral Load Transfer be negative?

No, the Total Vehicle Mass given Rear Lateral Load Transfer, measured in Weight cannot be negative.

Which unit is used to measure Total Vehicle Mass given Rear Lateral Load Transfer?

Total Vehicle Mass given Rear Lateral Load Transfer is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Total Vehicle Mass given Rear Lateral Load Transfer can be measured.

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Total Vehicle Mass given Rear Lateral Load Transfer Formula

Total Vehicle Mass given Rear Lateral Load Transfer Example

Total Vehicle Mass given Rear Lateral Load Transfer Solution

Total Vehicle Mass given Rear Lateral Load Transfer Formula Elements

Other formulas in Rear Lateral Load Transfer category

How to Evaluate Total Vehicle Mass given Rear Lateral Load Transfer?

FAQs on Total Vehicle Mass given Rear Lateral Load Transfer

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