Traction Force Required to Climb Curb Solution

STEP 0: Pre-Calculation Summary
Formula Used
Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
R = G*cos(θ)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Traction Force required to Climb Curb - (Measured in Newton) - Traction Force required to Climb Curb is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb.
Weight on Single Wheel - (Measured in Newton) - Weight on Single Wheel is defined as the weight force acting on the single wheel of vehicle.
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.
STEP 1: Convert Input(s) to Base Unit
Weight on Single Wheel: 5000 Newton --> 5000 Newton No Conversion Required
Angle between Traction Force and Horizontal Axis: 0.689 Radian --> 0.689 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = G*cos(θ) --> 5000*cos(0.689)
Evaluating ... ...
R = 3859.41083225132
STEP 3: Convert Result to Output's Unit
3859.41083225132 Newton --> No Conversion Required
FINAL ANSWER
3859.41083225132 3859.411 Newton <-- Traction Force required to Climb Curb
(Calculation completed in 00.004 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
Syed Adnan has created this Calculator and 200+ more calculators!
Verified by Kartikay Pandit
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

Traction Force Required to Climb Curb Formula

Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
R = G*cos(θ)

What is the traction force required to climb a curb?

When the wheel(s) receive torque from the powertrain, climbing a curb is easier, since it requires less force/torque. The torque T [Nm] coming from the engine (motor) will generate a traction force R [N] and a normal force N [N] in the contact point P. The case in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb is the traction force that acts to push the vehicle up the curb.

How to Calculate Traction Force Required to Climb Curb?

Traction Force Required to Climb Curb calculator uses Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis) to calculate the Traction Force required to Climb Curb, The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb. Traction Force required to Climb Curb is denoted by R symbol.

How to calculate Traction Force Required to Climb Curb using this online calculator? To use this online calculator for Traction Force Required to Climb Curb, enter Weight on Single Wheel (G) & Angle between Traction Force and Horizontal Axis (θ) and hit the calculate button. Here is how the Traction Force Required to Climb Curb calculation can be explained with given input values -> 3859.411 = 5000*cos(0.689).

FAQ

What is Traction Force Required to Climb Curb?
The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb and is represented as R = G*cos(θ) or Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis). Weight on Single Wheel is defined as the weight force acting on the single wheel of vehicle & 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 Traction Force Required to Climb Curb?
The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb is calculated using Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis). To calculate Traction Force Required to Climb Curb, you need Weight on Single Wheel (G) & Angle between Traction Force and Horizontal Axis (θ). With our tool, you need to enter the respective value for Weight on Single Wheel & Angle between Traction Force and Horizontal Axis 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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