Work Done against Friction in Stopping Vehicle Calculator

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Sight Distance

Design of Transition Curves and Setback Distances

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Stopping Sight Distance

Overtaking Sight Distance

✖Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.ⓘ Coefficient of Friction [f]			+10% -10%
✖Total Weight of Vehicle is the weight of a vehicle when it is totally loaded consisting weight of passengers, luggage, and other spare parts.ⓘ Total Weight of Vehicle [W]			+10% -10%
✖Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.ⓘ Braking Distance [l]			+10% -10%

✖Work done against Friction in stopping the vehicle is the work done to oppose the friction caused between the surface and the vehicle in opposite directions.ⓘ Work Done against Friction in Stopping Vehicle [W_vehicle]

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Formula

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Work Done against Friction in Stopping Vehicle

Formula

`"W"_{"vehicle"} = "f"*"W"*"l"`

Example

`"2208J"="0.2"*"230kg"*"48m"`

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Work Done against Friction in Stopping Vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance
W_vehicle = f*W*l
This formula uses 4 Variables

Variables Used

Work done against Friction - (Measured in Joule) - Work done against Friction in stopping the vehicle is the work done to oppose the friction caused between the surface and the vehicle in opposite directions.
Coefficient of Friction - Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.
Total Weight of Vehicle - (Measured in Kilogram) - Total Weight of Vehicle is the weight of a vehicle when it is totally loaded consisting weight of passengers, luggage, and other spare parts.
Braking Distance - (Measured in Meter) - Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.2 --> No Conversion Required
Total Weight of Vehicle: 230 Kilogram --> 230 Kilogram No Conversion Required
Braking Distance: 48 Meter --> 48 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_vehicle = f*W*l --> 0.2*230*48

Evaluating ... ...

W_vehicle = 2208

STEP 3: Convert Result to Output's Unit

2208 Joule --> No Conversion Required

FINAL ANSWER

2208 Joule <-- Work done against Friction

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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National Institute Of Technology (NIT), Hamirpur

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< 12 Stopping Sight Distance Calculators

Reaction Time given Stopping Sight Distance and Vehicle Velocity

Go Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed

Stopping Sight Distance given Vehicle Velocity and Reaction Time of Vehicle

Go Sight Stopping Distance = Vehicle Speed*Reaction Time+(Vehicle Speed^2)/(2*[g]*Coefficient of Friction)

Maximum Frictional Force Developed during Braking Operation of Vehicle

Go Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance)

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed

Go Total Weight of Vehicle = (2*[g]*Maximum Frictional Force*Braking Distance)/Velocity^2

Velocity of Vehicle given Braking Distance after Braking Operation

Go Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance)

Work Done against Friction in Stopping Vehicle

Go Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance

Kinetic Energy of Vehicle at Design Speed

Go Kinetic Energy of Vehicle at Design Speed = (Total Weight of Vehicle*Velocity^2)/(2*[g])

Braking Distance of Vehicle during Braking Operation

Go Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction)

Maximum Frictional Force given Kinetic Energy of Vehicle at Design Speed

Go Maximum Frictional Force = Kinetic Energy of Vehicle at Design Speed/Braking Distance

Stopping Sight Distance given Lag Distance and Braking Distance

Go Sight Stopping Distance = Lag Distance+Braking Distance

Lag Distance given Stopping Sight Distance and Braking Distance

Go Lag Distance = Sight Stopping Distance-Braking Distance

Braking Distance given Lag Distance and Stopping Sight Distance

Go Braking Distance = Sight Stopping Distance-Lag Distance

Work Done against Friction in Stopping Vehicle Formula

Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance
W_vehicle = f*W*l

Why is Braking Distance?

Braking distance depends on how fast a vehicle is travelling before the brakes are applied, and is proportional to the square of the initial speed.

How to Calculate Work Done against Friction in Stopping Vehicle?

Work Done against Friction in Stopping Vehicle calculator uses Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance to calculate the Work done against Friction, Work done against Friction in stopping vehicle is the work done to oppose the friction caused between the surface and the vehicle in opposite directions. Work done against Friction is denoted by W_vehicle symbol.

How to calculate Work Done against Friction in Stopping Vehicle using this online calculator? To use this online calculator for Work Done against Friction in Stopping Vehicle, enter Coefficient of Friction (f), Total Weight of Vehicle (W) & Braking Distance (l) and hit the calculate button. Here is how the Work Done against Friction in Stopping Vehicle calculation can be explained with given input values -> 1932 = 0.2*230*48.

FAQ

What is Work Done against Friction in Stopping Vehicle?

Work done against Friction in stopping vehicle is the work done to oppose the friction caused between the surface and the vehicle in opposite directions and is represented as W_vehicle = f*W*l or Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance. Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force, Total Weight of Vehicle is the weight of a vehicle when it is totally loaded consisting weight of passengers, luggage, and other spare parts & Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.

How to calculate Work Done against Friction in Stopping Vehicle?

Work done against Friction in stopping vehicle is the work done to oppose the friction caused between the surface and the vehicle in opposite directions is calculated using Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance. To calculate Work Done against Friction in Stopping Vehicle, you need Coefficient of Friction (f), Total Weight of Vehicle (W) & Braking Distance (l). With our tool, you need to enter the respective value for Coefficient of Friction, Total Weight of Vehicle & Braking Distance 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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