Car Center of Mass Calculator

Calculate the center of gravity position for your car in three dimensions

Car Weight

Total weight of the car including fuel and passengers

Longitudinal Position

Distance between front and rear axles

Weight measured on front wheels

Weight measured on rear wheels

Altitudinal Position

Side Position

Distance between left and right wheels

Combined weight of left wheels

Combined weight of right wheels

Measurement Steps

1

Longitudinal

Weigh front and rear axles on level ground

2

Altitudinal

Raise one axle and measure weight change

3

Lateral

Weigh left and right wheels separately

Safety Tips

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Always use wheel chocks and parking brake

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Ensure all measurements are on level surfaces

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Remove or account for passengers and cargo

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Check tire pressures before measurements

Understanding Car Center of Mass

What is Center of Mass?

The center of mass (or center of gravity) is a unique point where the car behaves as if all its mass were concentrated. This point determines how the vehicle responds to forces and affects its handling characteristics.

Three-Dimensional Position

  • Longitudinal: Forward/backward position along wheelbase
  • Altitudinal: Height above ground level
  • Lateral: Left/right position across track width

Physics Principles

Torque Equilibrium

For longitudinal position:

a = L × (Fb / Fg)

b = L × (Fa / Fg)

Height Calculation

Using raised wheel method:

h = (ΔF/Fg) × L × cot(θ) + r

Lateral Position

Side-to-side balance:

x = T × (FR / Fg)

y = T × (FL / Fg)

Importance of Center of Gravity

Vehicle Handling

Center of mass position affects how the car responds to steering inputs, braking, and acceleration. Proper balance is crucial for safe and predictable handling.

Load Transfer

During cornering, braking, and acceleration, weight transfers between wheels. The center of mass position determines how much load transfer occurs.

Stability

A lower center of gravity improves stability and reduces the risk of rollover. This is why race cars are designed to be as low as possible.