Angle between Traction Force and Horizontal Axis Calculator

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Race Car Vehicle Dynamics

Driveline

Front Axle and Steering

Suspension Geometry

Vehicle Collision

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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

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Angular Velocity

Rolling

Slip Ratio

✖Curb Height is defined as the vertical length of the curb or edge which the wheel must climb.ⓘ Curb Height [h_curb]			+10% -10%
✖The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.ⓘ Effective Radius of Wheel [r_d]			+10% -10%

✖Angle between Traction Force and Horizontal Axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.ⓘ Angle between Traction Force and Horizontal Axis [θ]

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Formula

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Angle between Traction Force and Horizontal Axis

Formula

`"θ" = asin(1-"h"_{"curb"}/"r"_{"d"})`

Example

`"0.689775rad"=asin(1-"0.2m"/"0.55m")`

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Angle between Traction Force and Horizontal Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)
θ = asin(1-h_curb/r_d)
This formula uses 2 Functions, 3 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Angle between Traction Force and Horizontal Axis - (Measured in Radian) - Angle between Traction Force and Horizontal Axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.
Curb Height - (Measured in Meter) - Curb Height is defined as the vertical length of the curb or edge which the wheel must climb.
Effective Radius of Wheel - (Measured in Meter) - The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.

STEP 1: Convert Input(s) to Base Unit

Curb Height: 0.2 Meter --> 0.2 Meter No Conversion Required
Effective Radius of Wheel: 0.55 Meter --> 0.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(1-h_curb/r_d) --> asin(1-0.2/0.55)

Evaluating ... ...

θ = 0.6897750007855

STEP 3: Convert Result to Output's Unit

0.6897750007855 Radian --> No Conversion Required

FINAL ANSWER

0.6897750007855 ≈ 0.689775 Radian <-- Angle between Traction Force and Horizontal Axis

(Calculation completed in 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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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

Angle between Traction Force and Horizontal Axis Formula

Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)
θ = asin(1-h_curb/r_d)

What is the angle between traction force and horizontal axis?

Angle between traction force and horizontal axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.

How to Calculate Angle between Traction Force and Horizontal Axis?

Angle between Traction Force and Horizontal Axis calculator uses Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel) to calculate the Angle between Traction Force and Horizontal Axis, The Angle between traction force and horizontal axis formula is defined as the angle made between the vector of traction force and the horizontal wheel axis passing through the center of wheel. Angle between Traction Force and Horizontal Axis is denoted by θ symbol.

How to calculate Angle between Traction Force and Horizontal Axis using this online calculator? To use this online calculator for Angle between Traction Force and Horizontal Axis, enter Curb Height (h_curb) & Effective Radius of Wheel (r_d) and hit the calculate button. Here is how the Angle between Traction Force and Horizontal Axis calculation can be explained with given input values -> 0.689775 = asin(1-0.2/0.55).

FAQ

What is Angle between Traction Force and Horizontal Axis?

The Angle between traction force and horizontal axis formula is defined as the angle made between the vector of traction force and the horizontal wheel axis passing through the center of wheel and is represented as θ = asin(1-h_curb/r_d) or Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel). Curb Height is defined as the vertical length of the curb or edge which the wheel must climb & The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.

How to calculate Angle between Traction Force and Horizontal Axis?

The Angle between traction force and horizontal axis formula is defined as the angle made between the vector of traction force and the horizontal wheel axis passing through the center of wheel is calculated using Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel). To calculate Angle between Traction Force and Horizontal Axis, you need Curb Height (h_curb) & Effective Radius of Wheel (r_d). With our tool, you need to enter the respective value for Curb Height & Effective Radius of Wheel 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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