Percentage Gradeability of Vehicle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance
G = (10200*Tg*RGear)/(r*GVW)-Rr
This formula uses 6 Variables
Variables Used
Gradeability of Vehicle - Gradeability of Vehicle is defined as the ability to climb slopes in degrees or percentage.
Torque Generated - (Measured in Newton Meter) - Torque Generated is defined as the torque derived from the engine working at the crankshaft.
Overall Gear Reduction - Overall Gear Reduction is defined as a mechanical system of gears in an arrangement such that input speed can be lowered to a slower output speed but have the same or more output torque.
Rolling Radius of Loaded Driving Tire - (Measured in Meter) - Rolling Radius of Loaded Driving Tire is defined as the radius of loaded driving tire.
Gross Vehicle Weight - (Measured in Kilogram) - Gross Vehicle Weight is defined as the total of the weight of the vehicle (or combination of vehicles) including its load when stationary.
Percentage Rolling Resistance - Percentage Rolling Resistance is defined as the percentage of rolling resistance between the tire and the road out of the total resistance on the vehicle.
STEP 1: Convert Input(s) to Base Unit
Torque Generated: 115 Newton Millimeter --> 0.115 Newton Meter (Check conversion here)
Overall Gear Reduction: 10 --> No Conversion Required
Rolling Radius of Loaded Driving Tire: 0.4 Meter --> 0.4 Meter No Conversion Required
Gross Vehicle Weight: 4500 Kilogram --> 4500 Kilogram No Conversion Required
Percentage Rolling Resistance: 1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = (10200*Tg*RGear)/(r*GVW)-Rr --> (10200*0.115*10)/(0.4*4500)-1.5
Evaluating ... ...
G = 5.01666666666667
STEP 3: Convert Result to Output's Unit
5.01666666666667 --> No Conversion Required
FINAL ANSWER
5.01666666666667 5.016667 <-- Gradeability of Vehicle
(Calculation completed in 00.020 seconds)

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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14 Driveline Calculators

Angular Acceleration of Driven Shaft
Go Angular Acceleration of Driven Shaft = -Angular Velocity of Driven Shaft^2*cos(Angle between Driving and Driven Shafts)*sin(Angle between Driving and Driven Shafts)^2*sin(2*Angle Rotated by Driven Shaft)/((1-cos(Angle Rotated by Driven Shaft)^2*sin(Angle between Driving and Driven Shafts)^2)^2)
Velocity Ratio of Hooke's Joint
Go Velocity Ratio = cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2)
Percentage Gradeability of Vehicle
Go Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance
Axial Force of Multiplate Clutch using Uniform Wear Theory
Go Total Axial Load = pi*Pressure of Intensity*Inner Diameter of Friction Disc*(Outer Diameter of Friction Disc-Inner Diameter of Friction Disc)*0.5
Aerodynamic Resistance
Go Aerodynamic Resistance of Vehicle = 0.5*Density of Air*Frontal Area of Vehicle*Cruising Speed of Vehicle^2*Coefficient of Drag Exerted by Flow
Drawbar Pull
Go Drawbar Pull = (Torque Generated*Overall Gear Reduction*1000)/Rolling Radius of Loaded Driving Tire-Rolling Resistance at Wheel
Power Required to Propel Vehicle
Go Power required to Propel a Vehicle = (Total Resistance on Vehicle*Speed of Vehicle in Meter per Second)/Transmission Efficiency of Vehicle
Weight on Rear Axle
Go Weight on Rear Axle = (Total Weight being Distributed of Vehicle*CG Distance from Front Axle)/Wheelbase of Vehicle
Total Resistance on Vehicle
Go Total Resistance on Vehicle = Aerodynamic Resistance of Vehicle+Rolling Resistance at Wheel+Gradient Resistance
Effective Gear Ratio
Go Effective Gear Ratio = Old Tire Diameter/New Tire Diameter*Gear Ratio of Transmission
Weight on Front Axle
Go Weight on Front Axle = Total Weight being Distributed of Vehicle-Weight on Rear Axle
Engine Torque
Go Engine Torque = (9.55*Power required to Propel a Vehicle)/Engine Speed in rpm
Gear Step
Go Gear Step = Preceding Lower Gear Ratio Number/Gear Ratio Number
Final Drive Ratio
Go Final Drive Ratio = Rear Gear Ratio*Overdrive Ratio

Percentage Gradeability of Vehicle Formula

Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance
G = (10200*Tg*RGear)/(r*GVW)-Rr

What is percentage gradeability of vehicle?

The tractive effort available at the wheels must be greater than the sum of the rolling resistance encountered. If this is not so, the transmission must be shifted to a lower gear in order to increase the tractive effort. The percentage of grade which can be negotiated is given by the formula.

How to Calculate Percentage Gradeability of Vehicle?

Percentage Gradeability of Vehicle calculator uses Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance to calculate the Gradeability of Vehicle, The Percentage gradeability of vehicle formula is defined as the ability of a vehicle to climb slopes measured in degrees or percentage. Gradeability of Vehicle is denoted by G symbol.

How to calculate Percentage Gradeability of Vehicle using this online calculator? To use this online calculator for Percentage Gradeability of Vehicle, enter Torque Generated (Tg), Overall Gear Reduction (RGear), Rolling Radius of Loaded Driving Tire (r), Gross Vehicle Weight (GVW) & Percentage Rolling Resistance (Rr) and hit the calculate button. Here is how the Percentage Gradeability of Vehicle calculation can be explained with given input values -> 5.016667 = (10200*0.115*10)/(0.4*4500)-1.5.

FAQ

What is Percentage Gradeability of Vehicle?
The Percentage gradeability of vehicle formula is defined as the ability of a vehicle to climb slopes measured in degrees or percentage and is represented as G = (10200*Tg*RGear)/(r*GVW)-Rr or Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance. Torque Generated is defined as the torque derived from the engine working at the crankshaft, Overall Gear Reduction is defined as a mechanical system of gears in an arrangement such that input speed can be lowered to a slower output speed but have the same or more output torque, Rolling Radius of Loaded Driving Tire is defined as the radius of loaded driving tire, Gross Vehicle Weight is defined as the total of the weight of the vehicle (or combination of vehicles) including its load when stationary & Percentage Rolling Resistance is defined as the percentage of rolling resistance between the tire and the road out of the total resistance on the vehicle.
How to calculate Percentage Gradeability of Vehicle?
The Percentage gradeability of vehicle formula is defined as the ability of a vehicle to climb slopes measured in degrees or percentage is calculated using Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance. To calculate Percentage Gradeability of Vehicle, you need Torque Generated (Tg), Overall Gear Reduction (RGear), Rolling Radius of Loaded Driving Tire (r), Gross Vehicle Weight (GVW) & Percentage Rolling Resistance (Rr). With our tool, you need to enter the respective value for Torque Generated, Overall Gear Reduction, Rolling Radius of Loaded Driving Tire, Gross Vehicle Weight & Percentage Rolling Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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