Gradient Resistance of Vehicle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)
Fg = Mv*g*sin(α)
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Gradient Resistance - (Measured in Newton) - Gradient Resistance is the resistance due to the inclination of the road surface.
Vehicle Weight in Newtons - (Measured in Newton) - Vehicle Weight in Newtons is defined as the weight of the vehicle in unit of newtons.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angle of Inclination of Ground from Horizontal - (Measured in Radian) - Angle of Inclination of Ground from Horizontal is defined as the angle which the ground or road is making with respect to horizontal.
STEP 1: Convert Input(s) to Base Unit
Vehicle Weight in Newtons: 9000 Newton --> 9000 Newton No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Inclination of Ground from Horizontal: 0.524 Radian --> 0.524 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fg = Mv*g*sin(α) --> 9000*9.8*sin(0.524)
Evaluating ... ...
Fg = 44130.6433498064
STEP 3: Convert Result to Output's Unit
44130.6433498064 Newton --> No Conversion Required
FINAL ANSWER
44130.6433498064 44130.64 Newton <-- Gradient Resistance
(Calculation completed in 00.004 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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19 Tire Behavior in Racing Car Calculators

Tractive Effort in Multi-Geared Vehicle at any given Gear
Go Tractive Effort in Multi-geared Vehicle = (Torque Output of Vehicle*Gear Ratio of Transmission*Gear Ratio of Final Drive*Transmission Efficiency of Vehicle)/Effective Radius of Wheel
Normal Load on Wheels due to Gradient
Go Normal Load on Wheels due to Gradient = Vehicle Weight in Newtons*Acceleration due to Gravity*cos(Angle of Inclination of Ground from Horizontal)
Wheel Force
Go Wheel Force = 2*Engine Torque*Transmission Efficiency of Vehicle/Diameter of Wheel*Engine Speed in rpm/Wheel Speed
Curb Force for Driven Wheel
Go Curb Force for Driven Wheel = (Weight on Single Wheel*Contact Point Distance from Wheel Center Axis)/(Effective Radius of Wheel-Height of Curb)
Slip of Tire
Go Slip of Tire = ((Forward Velocity of Vehicle-Vehicle Wheel Angular Velocity*Effective Radius of Wheel)/Forward Velocity of Vehicle)*100
Gradient Resistance of Vehicle
Go Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)
Longitudinal Slip Velocity
Go Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction
Contact Point of Wheel and Curb Distance from Wheel Center Axis
Go Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2))
Traction Force Required to Climb Curb
Go Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
Angle between Traction Force and Horizontal Axis
Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)
Longitudinal Slip Velocity for Zero Slip Angle
Go Longitudinal (Angular) Slip Velocity = Angular Velocity of Driven (or braked) Wheel-Angular Velocity of Free Rolling Wheel
Lateral Slip Velocity
Go Lateral Slip Velocity = Axle Speed over Roadway*sin(Slip Angle)
Mechanical Advantage of Wheel and Axle
Go Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle
Wheel Diameter of Vehicle
Go Wheel Diameter of Vehicle = Rim Diameter+2*Tire Side Wall Height
Tire Side Wall Height
Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100
Aspect Ratio of Tire
Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100
Variation of Rolling Resistance Coefficient at Varying Speed
Go Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100)
Circumference of Wheel
Go Wheel Circumference = 3.1415*Wheel Diameter of Vehicle
Wheel Radius of Vehicle
Go Wheel Radius in Meter = Wheel Diameter of Vehicle/2

Gradient Resistance of Vehicle Formula

Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)
Fg = Mv*g*sin(α)

What is gradient resistance offered by the vehicle?

When the vehicle travels uphill, a component of its weight works in a direction opposite to its motion. If some energy is not supplied to overcome this backward force, then the vehicle would slow down, stall and roll backwards. If the vehicle is trading uphill at a slope of θ, then the weight of the vehicle, W has two components: one perpendicular to the road surface (with a value W·Cos θ) and the other along the road surface (with a value W·Sin θ). The component along the road surface is the one that tries to restrict the motion.

How to Calculate Gradient Resistance of Vehicle?

Gradient Resistance of Vehicle calculator uses Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal) to calculate the Gradient Resistance, The Gradient resistance of vehicle formula is defined as the component of weight of vehicle that resists its motion on a gradient or uphill road and pulls it backwards. Gradient Resistance is denoted by Fg symbol.

How to calculate Gradient Resistance of Vehicle using this online calculator? To use this online calculator for Gradient Resistance of Vehicle, enter Vehicle Weight in Newtons (Mv), Acceleration due to Gravity (g) & Angle of Inclination of Ground from Horizontal (α) and hit the calculate button. Here is how the Gradient Resistance of Vehicle calculation can be explained with given input values -> 44130.64 = 9000*9.8*sin(0.524).

FAQ

What is Gradient Resistance of Vehicle?
The Gradient resistance of vehicle formula is defined as the component of weight of vehicle that resists its motion on a gradient or uphill road and pulls it backwards and is represented as Fg = Mv*g*sin(α) or Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal). Vehicle Weight in Newtons is defined as the weight of the vehicle in unit of newtons, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Angle of Inclination of Ground from Horizontal is defined as the angle which the ground or road is making with respect to horizontal.
How to calculate Gradient Resistance of Vehicle?
The Gradient resistance of vehicle formula is defined as the component of weight of vehicle that resists its motion on a gradient or uphill road and pulls it backwards is calculated using Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal). To calculate Gradient Resistance of Vehicle, you need Vehicle Weight in Newtons (Mv), Acceleration due to Gravity (g) & Angle of Inclination of Ground from Horizontal (α). With our tool, you need to enter the respective value for Vehicle Weight in Newtons, Acceleration due to Gravity & Angle of Inclination of Ground from Horizontal 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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