Variation of Rolling Resistance Coefficient at Varying Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100)
fr = 0.01*(1+V/100)
This formula uses 2 Variables
Variables Used
Rolling Resistance Coefficient - Rolling Resistance Coefficient is defined as the coefficient of the force resisting the motion when a wheel rolls on a surface.
Vehicle Speed - (Measured in Meter per Second) - Vehicle Speed given Distance required for Transition from Maingear Touchdown.
STEP 1: Convert Input(s) to Base Unit
Vehicle Speed: 45 Meter per Second --> 45 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fr = 0.01*(1+V/100) --> 0.01*(1+45/100)
Evaluating ... ...
fr = 0.0145
STEP 3: Convert Result to Output's Unit
0.0145 --> No Conversion Required
FINAL ANSWER
0.0145 <-- Rolling Resistance Coefficient
(Calculation completed in 00.004 seconds)

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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

Variation of Rolling Resistance Coefficient at Varying Speed Formula

Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100)
fr = 0.01*(1+V/100)

How does varying speed affect rolling resistance coefficient?

Rolling resistance is mainly caused by non-elastic effects; that is, not all the energy needed for deformation (or movement) of the wheel, roadbed, etc., is recovered when the pressure is removed. The primary cause of pneumatic tire rolling resistance is hysteresis. A characteristic of a deformable material such that the energy of deformation is greater than the energy of recovery. The rubber compound in a tire exhibits hysteresis. As the tire rotates under the weight of the vehicle, it experiences repeated cycles of deformation and recovery, and it dissipates the hysteresis energy loss as heat. Hysteresis is the main cause of energy loss associated with rolling resistance and is attributed to the viscoelastic characteristics of the rubber.

How to Calculate Variation of Rolling Resistance Coefficient at Varying Speed?

Variation of Rolling Resistance Coefficient at Varying Speed calculator uses Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100) to calculate the Rolling Resistance Coefficient, The Variation of rolling resistance coefficient at varying speed formula is defined as the coefficient of force needed to push or tow a wheeled vehicle forward per unit force of weight. Rolling Resistance Coefficient is denoted by fr symbol.

How to calculate Variation of Rolling Resistance Coefficient at Varying Speed using this online calculator? To use this online calculator for Variation of Rolling Resistance Coefficient at Varying Speed, enter Vehicle Speed (V) and hit the calculate button. Here is how the Variation of Rolling Resistance Coefficient at Varying Speed calculation can be explained with given input values -> 0.0145 = 0.01*(1+45/100).

FAQ

What is Variation of Rolling Resistance Coefficient at Varying Speed?
The Variation of rolling resistance coefficient at varying speed formula is defined as the coefficient of force needed to push or tow a wheeled vehicle forward per unit force of weight and is represented as fr = 0.01*(1+V/100) or Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100). Vehicle Speed given Distance required for Transition from Maingear Touchdown.
How to calculate Variation of Rolling Resistance Coefficient at Varying Speed?
The Variation of rolling resistance coefficient at varying speed formula is defined as the coefficient of force needed to push or tow a wheeled vehicle forward per unit force of weight is calculated using Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100). To calculate Variation of Rolling Resistance Coefficient at Varying Speed, you need Vehicle Speed (V). With our tool, you need to enter the respective value for Vehicle Speed 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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