Height of C.G. from Road Surface with Rear Wheel Brake Calculator

Formula Used:

\[ h = \frac{b - x - \frac{RR \times b}{W \times \cos(\theta)}}{\mu} \]

Vehicle Wheelbase (b):

Horizontal Distance of C.G. from Rear Axle (x):

Normal Reaction at Rear Wheel (RR):

Vehicle Weight (W):

Inclination Angle of Road (θ):

rad

Friction Coefficient Between Wheels and Ground (μ):

Height of Center of Gravity (C.G.) of Vehicle:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Height of C.G. from Road Surface?

The Height of Center of Gravity (C.G.) from Road Surface is the vertical distance between the road surface and the vehicle's center of gravity. It is a critical parameter that affects vehicle stability, braking performance, and rollover tendency.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{b - x - \frac{RR \times b}{W \times \cos(\theta)}}{\mu} \]

Where:

\( h \) — Height of Center of Gravity (C.G.) of Vehicle (m)
\( b \) — Vehicle Wheelbase (m)
\( x \) — Horizontal Distance of C.G. from Rear Axle (m)
\( RR \) — Normal Reaction at Rear Wheel (N)
\( W \) — Vehicle Weight (N)
\( \theta \) — Inclination Angle of Road (rad)
\( \mu \) — Friction Coefficient Between Wheels and Ground

Explanation: This formula calculates the height of the vehicle's center of gravity considering the weight distribution, road inclination, and friction characteristics during rear wheel braking.

3. Importance of C.G. Height Calculation

Details: Accurate C.G. height calculation is crucial for vehicle stability analysis, braking system design, and safety assessment. A higher C.G. increases the risk of rollover, while a lower C.G. improves stability.

4. Using the Calculator

Tips: Enter all values in appropriate units. Wheelbase and horizontal distance should be in meters, forces in Newtons, angle in radians, and friction coefficient as a dimensionless value.

5. Frequently Asked Questions (FAQ)

Q1: Why is C.G. height important for vehicle safety?
A: C.G. height directly affects vehicle stability. A higher C.G. increases the risk of rollover during sharp turns or emergency maneuvers, while a lower C.G. provides better stability.

Q2: How does road inclination affect C.G. calculation?
A: Road inclination changes the weight distribution between axles and affects the normal reactions, which in turn influences the calculated C.G. height.

Q3: What is a typical C.G. height for passenger vehicles?
A: For most passenger cars, the C.G. height typically ranges between 0.5-0.6 meters from the road surface, while SUVs and trucks have higher C.G. heights.

Q4: How does braking affect weight transfer?
A: During braking, weight transfers from the rear to the front axle due to inertia, reducing the normal reaction at the rear wheels and affecting the C.G. calculation.

Q5: Can this formula be used for all vehicle types?
A: This formula is specifically designed for vehicles with rear wheel braking. Different formulas may be needed for front-wheel braking or all-wheel braking systems.