Maximum Frictional Force Developed during Braking Operation of Vehicle Calculator

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Sight Distance

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Stopping Sight Distance

Overtaking Sight Distance

✖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%
✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+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%

✖Maximum Frictional Force is the optimum frictional force exerted on the vehicle due to its movement.ⓘ Maximum Frictional Force Developed during Braking Operation of Vehicle [F]

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Formula

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Maximum Frictional Force Developed during Braking Operation of Vehicle

Formula

`"F" = ("W"*"v"_{"vehicle"}^2)/(2*"[g]"*"l")`

Example

`"194.6963N"=("230kg"*("28.23m/s")^2)/(2*"[g]"*"48m")`

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Maximum Frictional Force Developed during Braking Operation of Vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance)
F = (W*v_vehicle^2)/(2*[g]*l)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Maximum Frictional Force - (Measured in Newton) - Maximum Frictional Force is the optimum frictional force exerted on the vehicle due to its movement.
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.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
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

Total Weight of Vehicle: 230 Kilogram --> 230 Kilogram No Conversion Required
Velocity: 28.23 Meter per Second --> 28.23 Meter per Second No Conversion Required
Braking Distance: 48 Meter --> 48 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = (W*v_vehicle^2)/(2*[g]*l) --> (230*28.23^2)/(2*[g]*48)

Evaluating ... ...

F = 194.69629345903

STEP 3: Convert Result to Output's Unit

194.69629345903 Newton --> No Conversion Required

FINAL ANSWER

194.69629345903 ≈ 194.6963 Newton <-- Maximum Frictional Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Sight Distance » Stopping Sight Distance » Maximum Frictional Force Developed during Braking Operation of Vehicle

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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

Maximum Frictional Force Developed during Braking Operation of Vehicle Formula

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

What is Maximum Frictional Force Developed during the Braking Operation of Vehicle?

Maximum Frictional Force Developed during the Braking Operation of Vehicle is the optimum frictional force exrted on the vehicle when in motion.

How to Calculate Maximum Frictional Force Developed during Braking Operation of Vehicle?

Maximum Frictional Force Developed during Braking Operation of Vehicle calculator uses Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance) to calculate the Maximum Frictional Force, Maximum Frictional Force Developed during Braking Operation of Vehicle is the optimum frictional force exrted on the vehicle when in motion. Maximum Frictional Force is denoted by F symbol.

How to calculate Maximum Frictional Force Developed during Braking Operation of Vehicle using this online calculator? To use this online calculator for Maximum Frictional Force Developed during Braking Operation of Vehicle, enter Total Weight of Vehicle (W), Velocity (v_vehicle) & Braking Distance (l) and hit the calculate button. Here is how the Maximum Frictional Force Developed during Braking Operation of Vehicle calculation can be explained with given input values -> 56.66772 = (230*28.23^2)/(2*[g]*48).

FAQ

What is Maximum Frictional Force Developed during Braking Operation of Vehicle?

Maximum Frictional Force Developed during Braking Operation of Vehicle is the optimum frictional force exrted on the vehicle when in motion and is represented as F = (W*v_vehicle^2)/(2*[g]*l) or Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance). Total Weight of Vehicle is the weight of a vehicle when it is totally loaded consisting weight of passengers, luggage, and other spare parts, Velocity is the rate of change of distance of the vehicle with respect to time & 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 Maximum Frictional Force Developed during Braking Operation of Vehicle?

Maximum Frictional Force Developed during Braking Operation of Vehicle is the optimum frictional force exrted on the vehicle when in motion is calculated using Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance). To calculate Maximum Frictional Force Developed during Braking Operation of Vehicle, you need Total Weight of Vehicle (W), Velocity (v_vehicle) & Braking Distance (l). With our tool, you need to enter the respective value for Total Weight of Vehicle, Velocity & Braking Distance 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 Maximum Frictional Force?

In this formula, Maximum Frictional Force uses Total Weight of Vehicle, Velocity & Braking Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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