Coefficient of Longitudinal Friction given Breaking Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance)
f = (Vb^2)/(2*[g]*BD)
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Design Coefficient of Friction - Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.
Speed of Slow moving vehicle - (Measured in Meter per Second) - Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.
Breaking Distance - (Measured in Meter) - Breaking distance is defined as the distance traveled after applying brake till the vehicle stops.
STEP 1: Convert Input(s) to Base Unit
Speed of Slow moving vehicle: 11.11 Meter per Second --> 11.11 Meter per Second No Conversion Required
Breaking Distance: 40 Meter --> 40 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (Vb^2)/(2*[g]*BD) --> (11.11^2)/(2*[g]*40)
Evaluating ... ...
f = 0.157332141964891
STEP 3: Convert Result to Output's Unit
0.157332141964891 --> No Conversion Required
FINAL ANSWER
0.157332141964891 0.157332 <-- Design Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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2 Coefficient of Friction Calculators

Coefficient of Friction given Stopping Sight Distance
Go Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*(Stopping Sight Distance-(Speed of Slow moving vehicle*Break Reaction Time)))
Coefficient of Longitudinal Friction given Breaking Distance
Go Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance)

Coefficient of Longitudinal Friction given Breaking Distance Formula

Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance)
f = (Vb^2)/(2*[g]*BD)

What is friction?

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

How to Calculate Coefficient of Longitudinal Friction given Breaking Distance?

Coefficient of Longitudinal Friction given Breaking Distance calculator uses Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance) to calculate the Design Coefficient of Friction, Coefficient of Longitudinal Friction given Breaking Distance formula is defined as resistive power of road surface. Design Coefficient of Friction is denoted by f symbol.

How to calculate Coefficient of Longitudinal Friction given Breaking Distance using this online calculator? To use this online calculator for Coefficient of Longitudinal Friction given Breaking Distance, enter Speed of Slow moving vehicle (Vb) & Breaking Distance (BD) and hit the calculate button. Here is how the Coefficient of Longitudinal Friction given Breaking Distance calculation can be explained with given input values -> 0.157332 = (11.11^2)/(2*[g]*40).

FAQ

What is Coefficient of Longitudinal Friction given Breaking Distance?
Coefficient of Longitudinal Friction given Breaking Distance formula is defined as resistive power of road surface and is represented as f = (Vb^2)/(2*[g]*BD) or Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance). Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken & Breaking distance is defined as the distance traveled after applying brake till the vehicle stops.
How to calculate Coefficient of Longitudinal Friction given Breaking Distance?
Coefficient of Longitudinal Friction given Breaking Distance formula is defined as resistive power of road surface is calculated using Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance). To calculate Coefficient of Longitudinal Friction given Breaking Distance, you need Speed of Slow moving vehicle (Vb) & Breaking Distance (BD). With our tool, you need to enter the respective value for Speed of Slow moving vehicle & Breaking 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 Design Coefficient of Friction?
In this formula, Design Coefficient of Friction uses Speed of Slow moving vehicle & Breaking Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*(Stopping Sight Distance-(Speed of Slow moving vehicle*Break Reaction Time)))
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