Braking Distance on Inclined Surface with Efficiency Calculator

✖Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.ⓘ Speed of Slow moving vehicle [V_b]			+10% -10%
✖Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.ⓘ Design Coefficient of Friction [f]			+10% -10%
✖The Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency.ⓘ Overall Efficiency from Shaft A to X [η_x]			+10% -10%
✖Difference in elevation at ends of measured length.ⓘ Difference in Elevation [ΔH]			+10% -10%

✖Breaking distance is defined as the distance traveled after applying brake till the vehicle stops.ⓘ Braking Distance on Inclined Surface with Efficiency [BD]

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Braking Distance on Inclined Surface with Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation)
BD = (V_b^2)/(2*[g]*f*η_x+0.01*ΔH)
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Breaking Distance - (Measured in Meter) - Breaking distance is defined as the distance traveled after applying brake till the vehicle stops.
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.
Design Coefficient of Friction - Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.
Overall Efficiency from Shaft A to X - The Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency.
Difference in Elevation - (Measured in Meter) - Difference in elevation at ends of measured length.

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
Design Coefficient of Friction: 0.15 --> No Conversion Required
Overall Efficiency from Shaft A to X: 0.8 --> No Conversion Required
Difference in Elevation: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BD = (V_b^2)/(2*[g]*f*η_x+0.01*ΔH) --> (11.11^2)/(2*[g]*0.15*0.8+0.01*15)

Evaluating ... ...

BD = 49.3019241123568

STEP 3: Convert Result to Output's Unit

49.3019241123568 Meter --> No Conversion Required

FINAL ANSWER

49.3019241123568 ≈ 49.30192 Meter <-- Breaking Distance

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Braking Distance Calculators

Velocity of Vehicle in meter per second for Braking Distance

LaTeX Go Speed of Slow moving vehicle = sqrt(Breaking Distance*(2*[g]*Design Coefficient of Friction))

Velocity of Vehicle given Breaking Distance

LaTeX Go Speed of Slow moving vehicle = (Breaking Distance*(2*[g]*Design Coefficient of Friction))^0.5

Breaking Distance

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

Breaking Distance given Stopping Sight Distance

LaTeX Go Breaking Distance = Stopping Sight Distance-Lag Distance

Braking Distance on Inclined Surface with Efficiency Formula

LaTeX Go

Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation)
BD = (V_b^2)/(2*[g]*f*η_x+0.01*ΔH)

What is braking distance?

Braking distance refers to the distance a vehicle will travel from the point when its brakes are fully applied to when it comes to a complete stop

How to Calculate Braking Distance on Inclined Surface with Efficiency?

Braking Distance on Inclined Surface with Efficiency calculator uses Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation) to calculate the Breaking Distance, Braking Distance on Inclined Surface with Efficiency formula is defined as distance vehicle will travel from point when its brakes are fully applied to when it comes to complete stop. Breaking Distance is denoted by BD symbol.

How to calculate Braking Distance on Inclined Surface with Efficiency using this online calculator? To use this online calculator for Braking Distance on Inclined Surface with Efficiency, enter Speed of Slow moving vehicle (V_b), Design Coefficient of Friction (f), Overall Efficiency from Shaft A to X (η_x) & Difference in Elevation (ΔH) and hit the calculate button. Here is how the Braking Distance on Inclined Surface with Efficiency calculation can be explained with given input values -> 49.30192 = (11.11^2)/(2*[g]*0.15*0.8+0.01*15).

FAQ

What is Braking Distance on Inclined Surface with Efficiency?

Braking Distance on Inclined Surface with Efficiency formula is defined as distance vehicle will travel from point when its brakes are fully applied to when it comes to complete stop and is represented as BD = (V_b^2)/(2*[g]*f*η_x+0.01*ΔH) or Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation). Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken, Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force, The Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency & Difference in elevation at ends of measured length.

How to calculate Braking Distance on Inclined Surface with Efficiency?

Braking Distance on Inclined Surface with Efficiency formula is defined as distance vehicle will travel from point when its brakes are fully applied to when it comes to complete stop is calculated using Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation). To calculate Braking Distance on Inclined Surface with Efficiency, you need Speed of Slow moving vehicle (V_b), Design Coefficient of Friction (f), Overall Efficiency from Shaft A to X (η_x) & Difference in Elevation (ΔH). With our tool, you need to enter the respective value for Speed of Slow moving vehicle, Design Coefficient of Friction, Overall Efficiency from Shaft A to X & Difference in Elevation 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 Breaking Distance?

In this formula, Breaking Distance uses Speed of Slow moving vehicle, Design Coefficient of Friction, Overall Efficiency from Shaft A to X & Difference in Elevation. We can use 3 other way(s) to calculate the same, which is/are as follows -

Breaking Distance = Stopping Sight Distance-Lag Distance
Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction)
Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+0.01*Difference in Elevation)

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