Gradient Resistance of Vehicle Calculator

⤿

Race Car Vehicle Dynamics

Driveline

Front Axle and Steering

Suspension Geometry

Vehicle Collision

⤿

Tire Behavior in Racing Car

Rates for Axle Suspension in Race Car

Ride Rate and Ride Frequency for Race Cars

Vehicle Cornering in Race Cars

Weight Transfer during Braking

Wheel Centre Rates for Independent Suspension

⤿

Angular Velocity

Rolling

Slip Ratio

✖Vehicle Weight in Newtons is defined as the weight of the vehicle in unit of newtons.ⓘ Vehicle Weight in Newtons [M_v]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Angle of Inclination of Ground from Horizontal is defined as the angle which the ground or road is making with respect to horizontal.ⓘ Angle of Inclination of Ground from Horizontal [α]			+10% -10%

✖Gradient Resistance is the resistance due to the inclination of the road surface.ⓘ Gradient Resistance of Vehicle [F_g]

⎘ Copy

👎

Formula

✖

Gradient Resistance of Vehicle

Formula

`"F"_{"g"} = "M"_{"v"}*"g"*sin("α")`

Example

`"44130.64N"="9000N"*"9.8m/s²"*sin("0.524rad")`

Calculator

LaTeX

Reset

👍

Download Tire Behavior in Racing Car Formulas PDF PDF Image

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)
F_g = M_v*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

F_g = M_v*g*sin(α) --> 9000*9.8*sin(0.524)

Evaluating ... ...

F_g = 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)

You are here -

Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Gradient Resistance of Vehicle

Credits

Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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)
F_g = M_v*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 F_g 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 (M_v), 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 F_g = M_v*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 (M_v), 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.

Home

FREE PDFs

🔍 Search