Weight on Wheels given Rolling Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration))
W = (R/(Rf+Rp*p))
This formula uses 5 Variables
Variables Used
Weight on Wheels - (Measured in Kilogram) - Weight on Wheels is the weight of an equipment is resting on its wheels.
Rolling Resistance - (Measured in Newton) - Rolling Resistance (or Rolling friction) is the force resisting the motion of a rolling body on a surface.
Rolling Resistance Factor - (Measured in Newton per Kilogram) - Rolling Resistance Factor is a dimensionless number that represents the resistance a tire encounters when rolling over a surface.
Tire Penetration Factor - (Measured in Radian per Square Second) - Tire Penetration Factor is the penetration depth of tire rubber into the road surface texture.
Tire Penetration - (Measured in Meter) - Tire Penetration is the penetration depth of tire rubber into the road.
STEP 1: Convert Input(s) to Base Unit
Rolling Resistance: 1200 Newton --> 1200 Newton No Conversion Required
Rolling Resistance Factor: 10 Newton per Kilogram --> 10 Newton per Kilogram No Conversion Required
Tire Penetration Factor: 10 Radian per Square Second --> 10 Radian per Square Second No Conversion Required
Tire Penetration: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (R/(Rf+Rp*p)) --> (1200/(10+10*5))
Evaluating ... ...
W = 20
STEP 3: Convert Result to Output's Unit
20 Kilogram --> No Conversion Required
FINAL ANSWER
20 Kilogram <-- Weight on Wheels
(Calculation completed in 00.020 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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National Institute of Technology Karnataka (NITK), Surathkal
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Earth Moving Calculators

Rolling Resistance to Motion of Wheeled Vehicles
​ LaTeX ​ Go Rolling Resistance = (Rolling Resistance Factor*Weight on Wheels)+(Tire Penetration Factor*Tire Penetration*Weight on Wheels)
Weight on Wheels given Rolling Resistance
​ LaTeX ​ Go Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration))
Grade Resistance for Motion on Slope
​ LaTeX ​ Go Grade Resistance = Grade Resistance Factor*Percent Grade*Weight on Wheels
Rolling Resistance when Rolling Resistance Factor is Two Percent
​ LaTeX ​ Go Rolling Resistance (Rolling Resistance Factor 2%) = (0.02+0.015*Tire Penetration)*Weight on Wheels

Weight on Wheels given Rolling Resistance Formula

​LaTeX ​Go
Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration))
W = (R/(Rf+Rp*p))

What is Rolling Resistance?

Rolling resistance, sometimes called rolling friction or rolling drag, is the force resisting the motion when a body rolls on a surface. It is mainly caused by non-elastic effects; that is, not all the energy needed for deformation of the wheel, roadbed, etc., is recovered when the pressure is removed.

How to Calculate Weight on Wheels given Rolling Resistance?

Weight on Wheels given Rolling Resistance calculator uses Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration)) to calculate the Weight on Wheels, The Weight on Wheels given Rolling Resistance formula is defined as the total vertical force exerted by a vehicle onto its wheels, calculated based on the rolling resistance. Weight on Wheels is denoted by W symbol.

How to calculate Weight on Wheels given Rolling Resistance using this online calculator? To use this online calculator for Weight on Wheels given Rolling Resistance, enter Rolling Resistance (R), Rolling Resistance Factor (Rf), Tire Penetration Factor (Rp) & Tire Penetration (p) and hit the calculate button. Here is how the Weight on Wheels given Rolling Resistance calculation can be explained with given input values -> 0.082167 = (1200/(10+10*5)).

FAQ

What is Weight on Wheels given Rolling Resistance?
The Weight on Wheels given Rolling Resistance formula is defined as the total vertical force exerted by a vehicle onto its wheels, calculated based on the rolling resistance and is represented as W = (R/(Rf+Rp*p)) or Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration)). Rolling Resistance (or Rolling friction) is the force resisting the motion of a rolling body on a surface, Rolling Resistance Factor is a dimensionless number that represents the resistance a tire encounters when rolling over a surface, Tire Penetration Factor is the penetration depth of tire rubber into the road surface texture & Tire Penetration is the penetration depth of tire rubber into the road.
How to calculate Weight on Wheels given Rolling Resistance?
The Weight on Wheels given Rolling Resistance formula is defined as the total vertical force exerted by a vehicle onto its wheels, calculated based on the rolling resistance is calculated using Weight on Wheels = (Rolling Resistance/(Rolling Resistance Factor+Tire Penetration Factor*Tire Penetration)). To calculate Weight on Wheels given Rolling Resistance, you need Rolling Resistance (R), Rolling Resistance Factor (Rf), Tire Penetration Factor (Rp) & Tire Penetration (p). With our tool, you need to enter the respective value for Rolling Resistance, Rolling Resistance Factor, Tire Penetration Factor & Tire Penetration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Weight on Wheels?
In this formula, Weight on Wheels uses Rolling Resistance, Rolling Resistance Factor, Tire Penetration Factor & Tire Penetration. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Weight on Wheels = (Grade Resistance/(Grade Resistance Factor*Percent Grade))
  • Weight on Wheels = (Total Road Resistance/(0.02+0.015*Tire Penetration+0.01*Percent Grade))
  • Weight on Wheels = (Usable Pull/Coefficient of Traction)
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