Percentage Gradeability Of Vehicle Calculator

Gradeability Formula:

\[ G = \frac{10200 \times T_g \times R_g}{r \times GVW} - R_r \]

Torque Generated (Tg):

N·m

Overall Gear Reduction (Rg):

ratio

Rolling Radius of Loaded Driving Tire (r):

Gross Vehicle Weight (GVW):

Percentage Rolling Resistance (Rr):

Gradeability of Vehicle (G):

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1. What is Gradeability of Vehicle?

Gradeability of Vehicle is defined as the ability to climb slopes in degrees or percentage. It represents the maximum gradient that a vehicle can climb at a constant speed without acceleration.

2. How Does the Calculator Work?

The calculator uses the Gradeability formula:

\[ G = \frac{10200 \times T_g \times R_g}{r \times GVW} - R_r \]

Where:

\( G \) — Gradeability of Vehicle (%)
\( T_g \) — Torque Generated (N·m)
\( R_g \) — Overall Gear Reduction (ratio)
\( r \) — Rolling Radius of Loaded Driving Tire (m)
\( GVW \) — Gross Vehicle Weight (kg)
\( R_r \) — Percentage Rolling Resistance (%)

Explanation: The formula calculates the vehicle's ability to climb slopes by considering engine torque, gear reduction, tire characteristics, vehicle weight, and rolling resistance.

3. Importance of Gradeability Calculation

Details: Gradeability calculation is crucial for vehicle design, performance evaluation, and determining a vehicle's capability to operate on various terrains and slopes. It helps in selecting appropriate powertrain components and ensuring vehicle safety on inclined surfaces.

4. Using the Calculator

Tips: Enter torque in N·m, gear reduction ratio, rolling radius in meters, gross vehicle weight in kg, and rolling resistance percentage. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is considered good gradeability for vehicles?
A: Good gradeability varies by vehicle type. Passenger cars typically have 25-35% gradeability, while heavy trucks may have 15-25%. Off-road vehicles require higher gradeability (30-50%+).

Q2: How does gear reduction affect gradeability?
A: Higher gear reduction increases torque at the wheels, improving gradeability but reducing maximum speed. Lower gear reduction has the opposite effect.

Q3: What factors influence rolling resistance?
A: Tire type, inflation pressure, road surface, vehicle speed, and load distribution all affect rolling resistance percentage.

Q4: Can gradeability be converted between percentage and degrees?
A: Yes, percentage grade = tan(angle) × 100. For example, 100% grade = 45 degrees, 50% grade = 26.57 degrees.

Q5: Why is the constant 10200 used in the formula?
A: The constant 10200 incorporates unit conversions and gravitational acceleration to provide gradeability as a percentage value.