Maximum Frictional Force Developed during Braking Operation of Vehicle Calculator

✖Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance.ⓘ Total Weight of Vehicle [W]			+10% -10%
✖Velocity is the speed at which a vehicle is traveling, typically measured at a specific point in time or over a certain distance.ⓘ 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 maximum force that opposes motion on a surface, dependent on the sight distance available to a driver.ⓘ Maximum Frictional Force Developed during Braking Operation of Vehicle [F]

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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 maximum force that opposes motion on a surface, dependent on the sight distance available to a driver.
Total Weight of Vehicle - (Measured in Kilogram) - Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance.
Velocity - (Measured in Meter per Second) - Velocity is the speed at which a vehicle is traveling, typically measured at a specific point in time or over a certain distance.
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 00.008 seconds)

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Created by Avayjit Das

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

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< Stopping Sight Distance Calculators

Maximum Frictional Force Developed during Braking Operation of Vehicle

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

Work Done against Friction in Stopping Vehicle

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

Kinetic Energy of Vehicle at Design Speed

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

Braking Distance of Vehicle during Braking Operation

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

Maximum Frictional Force Developed during Braking Operation of Vehicle Formula

LaTeX Go

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?

Lag distance refers to the distance a vehicle travels while a driver is reacting to a situation, such as the moment they perceive a need to stop or slow down and the time it takes to actually apply the brakes. This distance is influenced by the driver's reaction time and the speed of the vehicle at the moment the decision is made. Lag distance is an important factor in road safety, as it highlights the need for sufficient stopping sight distance to account for the delay in driver response, thereby helping prevent accidents.

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 formula is defined as the maximum force exerted by the vehicle's brakes to bring it to a stop, dependent on the vehicle's weight, velocity, gravity, and stopping distance, providing a critical safety parameter in vehicle design and operation. 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 -> 46.00003 = (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 formula is defined as the maximum force exerted by the vehicle's brakes to bring it to a stop, dependent on the vehicle's weight, velocity, gravity, and stopping distance, providing a critical safety parameter in vehicle design and operation 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 total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance, Velocity is the speed at which a vehicle is traveling, typically measured at a specific point in time or over a certain distance & 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 formula is defined as the maximum force exerted by the vehicle's brakes to bring it to a stop, dependent on the vehicle's weight, velocity, gravity, and stopping distance, providing a critical safety parameter in vehicle design and operation 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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