Tractive Effort in Multi-Geared Vehicle at any given Gear 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

✖Torque Output of Vehicle is defined as the torque available at the wheels in a multi geared vehicle.ⓘ Torque Output of Vehicle [T_p]			+10% -10%
✖Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.ⓘ Gear Ratio of Transmission [i_g]			+10% -10%
✖Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.ⓘ Gear Ratio of Final Drive [i_o]			+10% -10%
✖Transmission Efficiency of Vehicle is defined as the percentage amount of useful energy or work that is transmitted to the vehicle wheels through transmission system.ⓘ Transmission Efficiency of Vehicle [η_t]			+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%

✖Tractive Effort in Multi-geared Vehicle is defined as the force at the rims or the outer edges of the driving wheels of moving vehicle.ⓘ Tractive Effort in Multi-Geared Vehicle at any given Gear [F_t]

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Formula

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Tractive Effort in Multi-Geared Vehicle at any given Gear

Formula

`"F"_{"t"} = ("T"_{"p"}*"i"_{"g"}*"i"_{"o"}*"η"_{"t"})/"r"_{"d"}`

Example

`"2078.018N"=("270N*m"*"2.55"*"2"*"0.83")/"0.55m"`

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Tractive Effort in Multi-Geared Vehicle at any given Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
F_t = (T_p*i_g*i_o*η_t)/r_d
This formula uses 6 Variables

Variables Used

Tractive Effort in Multi-geared Vehicle - (Measured in Newton) - Tractive Effort in Multi-geared Vehicle is defined as the force at the rims or the outer edges of the driving wheels of moving vehicle.
Torque Output of Vehicle - (Measured in Newton Meter) - Torque Output of Vehicle is defined as the torque available at the wheels in a multi geared vehicle.
Gear Ratio of Transmission - Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.
Gear Ratio of Final Drive - Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.
Transmission Efficiency of Vehicle - Transmission Efficiency of Vehicle is defined as the percentage amount of useful energy or work that is transmitted to the vehicle wheels through transmission system.
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

Torque Output of Vehicle: 270 Newton Meter --> 270 Newton Meter No Conversion Required
Gear Ratio of Transmission: 2.55 --> No Conversion Required
Gear Ratio of Final Drive: 2 --> No Conversion Required
Transmission Efficiency of Vehicle: 0.83 --> 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

F_t = (T_p*i_g*i_o*η_t)/r_d --> (270*2.55*2*0.83)/0.55

Evaluating ... ...

F_t = 2078.01818181818

STEP 3: Convert Result to Output's Unit

2078.01818181818 Newton --> No Conversion Required

FINAL ANSWER

2078.01818181818 ≈ 2078.018 Newton <-- Tractive Effort in Multi-geared Vehicle

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Tractive Effort in Multi-Geared Vehicle at any given Gear

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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

Tractive Effort in Multi-Geared Vehicle at any given Gear Formula

What is the tractive effort of a multi geared vehicle?

The tractive effort is obtained by multiplying the torque by the total ratio of power train and dividing this sum by the rolling radius of the driving tyres. It is the the force at the rims or the outer edges of the driving wheels of moving vehicle at a specific gear position.

How to Calculate Tractive Effort in Multi-Geared Vehicle at any given Gear?

Tractive Effort in Multi-Geared Vehicle at any given Gear calculator uses 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 to calculate the Tractive Effort in Multi-geared Vehicle, The Tractive effort in multi-geared vehicle at any given gear formula is defined as the force at the rims or the outer edges of the driving wheels of a moving vehicle at a particular gear. Tractive Effort in Multi-geared Vehicle is denoted by F_t symbol.

How to calculate Tractive Effort in Multi-Geared Vehicle at any given Gear using this online calculator? To use this online calculator for Tractive Effort in Multi-Geared Vehicle at any given Gear, enter Torque Output of Vehicle (T_p), Gear Ratio of Transmission (i_g), Gear Ratio of Final Drive (i_o), Transmission Efficiency of Vehicle (η_t) & Effective Radius of Wheel (r_d) and hit the calculate button. Here is how the Tractive Effort in Multi-Geared Vehicle at any given Gear calculation can be explained with given input values -> 2078.018 = (270*2.55*2*0.83)/0.55.

FAQ

What is Tractive Effort in Multi-Geared Vehicle at any given Gear?

The Tractive effort in multi-geared vehicle at any given gear formula is defined as the force at the rims or the outer edges of the driving wheels of a moving vehicle at a particular gear and is represented as F_t = (T_p*i_g*i_o*η_t)/r_d or 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. Torque Output of Vehicle is defined as the torque available at the wheels in a multi geared vehicle, Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox, Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels, Transmission Efficiency of Vehicle is defined as the percentage amount of useful energy or work that is transmitted to the vehicle wheels through transmission system & The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.

How to calculate Tractive Effort in Multi-Geared Vehicle at any given Gear?

The Tractive effort in multi-geared vehicle at any given gear formula is defined as the force at the rims or the outer edges of the driving wheels of a moving vehicle at a particular gear is calculated using 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. To calculate Tractive Effort in Multi-Geared Vehicle at any given Gear, you need Torque Output of Vehicle (T_p), Gear Ratio of Transmission (i_g), Gear Ratio of Final Drive (i_o), Transmission Efficiency of Vehicle (η_t) & Effective Radius of Wheel (r_d). With our tool, you need to enter the respective value for Torque Output of Vehicle, Gear Ratio of Transmission, Gear Ratio of Final Drive, Transmission Efficiency of Vehicle & 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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