Gradient Resistance of Vehicle Calculator

✖Vehicle Weight in Newtons is the total weight of the vehicle in Newtons, affecting the tire behavior and overall performance of the racing car.ⓘ Vehicle Weight in Newtons [M_v]			+10% -10%
✖Acceleration due to Gravity is the downward force exerted on a racing car's tires, affecting its speed, handling, and overall performance on a track.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Angle of Inclination of Ground from Horizontal is the angle at which the ground surface deviates from the horizontal plane, affecting the racing car's tire behavior.ⓘ Angle of Inclination of Ground from Horizontal [α]			+10% -10%

✖Gradient Resistance is the opposition to motion of a tire on a racing car, influenced by factors such as road surface, tire compound, and vehicle speed.ⓘ Gradient Resistance of Vehicle [F_g]

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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 opposition to motion of a tire on a racing car, influenced by factors such as road surface, tire compound, and vehicle speed.
Vehicle Weight in Newtons - (Measured in Newton) - Vehicle Weight in Newtons is the total weight of the vehicle in Newtons, affecting the tire behavior and overall performance of the racing car.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is the downward force exerted on a racing car's tires, affecting its speed, handling, and overall performance on a track.
Angle of Inclination of Ground from Horizontal - (Measured in Radian) - Angle of Inclination of Ground from Horizontal is the angle at which the ground surface deviates from the horizontal plane, affecting the racing car's tire behavior.

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)

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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

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< Tire Rolling and Slipping Calculators

Gradient Resistance of Vehicle

LaTeX Go Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)

Rolling Resistance Coefficient

LaTeX Go Rolling Resistance Coefficient = Distance of Opposing Torque from Vertical/Effective Wheel Radius

Rolling Resistance at Wheels

LaTeX Go Rolling Resistance at Wheel = Normal Load on Wheels*Rolling Resistance Coefficient

Rolling Radius of Tire

LaTeX Go Rolling Radius of Tire = 2/3*Geometrical Radius of Tire+1/3*Loaded Height of Tire

Gradient Resistance of Vehicle Formula

LaTeX Go

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, Gradient Resistance of Vehicle formula is defined as the force that opposes the motion of a vehicle, resulting from the combined effects of gravity, friction, and air resistance, which affects the vehicle's acceleration and speed, particularly when driving uphill or on inclined surfaces. 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?

Gradient Resistance of Vehicle formula is defined as the force that opposes the motion of a vehicle, resulting from the combined effects of gravity, friction, and air resistance, which affects the vehicle's acceleration and speed, particularly when driving uphill or on inclined surfaces 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 the total weight of the vehicle in Newtons, affecting the tire behavior and overall performance of the racing car, Acceleration due to Gravity is the downward force exerted on a racing car's tires, affecting its speed, handling, and overall performance on a track & Angle of Inclination of Ground from Horizontal is the angle at which the ground surface deviates from the horizontal plane, affecting the racing car's tire behavior.

How to calculate Gradient Resistance of Vehicle?

Gradient Resistance of Vehicle formula is defined as the force that opposes the motion of a vehicle, resulting from the combined effects of gravity, friction, and air resistance, which affects the vehicle's acceleration and speed, particularly when driving uphill or on inclined surfaces 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.

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