FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Curve Resistance Formula

Fx Copy

LaTeX Copy

Curve resistance is the added resistance or “drag” on a train that must be overcome by the tractive effort in rounding a curve. Resistance is usually measured in newtons per ton of train weight. Check FAQs

CR = T - T \cdot \cos (α 1)

CR - Curve Resistance?T - Tractive Force?α₁ - Angle subtended by Radius of Curve for Single Lane?

Curve Resistance Example

With values

With units

Only example

Here is how the Curve Resistance equation looks like with Values.

Here is how the Curve Resistance equation looks like with Units.

Here is how the Curve Resistance equation looks like.

321.8688 = 0.2 - 0.2 \cdot \cos (90)

321.8688mi⁻¹ = 0.2N - 0.2N \cdot \cos (90°)

321.8688 = 0.2 - 0.2 \cdot \cos (90)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Transportation System » fx Curve Resistance

Curve Resistance Solution

Follow our step by step solution on how to calculate Curve Resistance?

FIRST Step Consider the formula

CR = T - T \cdot \cos (α 1)

Next Step Substitute values of Variables

∴

CR = 0.2N - 0.2N \cdot \cos (90°)

Next Step Convert Units

∴

CR = 0.2N - 0.2N \cdot \cos (1.5708rad)

Next Step Prepare to Evaluate

∴

CR = 0.2 - 0.2 \cdot \cos (1.5708)

Next Step Evaluate

∴

CR = 0.199999999999941m⁻¹

Next Step Convert to Output's Unit

∴

CR = 321.868799999905mi⁻¹

LAST Step Rounding Answer

∴

CR = 321.8688mi⁻¹

Curve Resistance Formula Elements

Variables

Functions

Curve Resistance

Curve resistance is the added resistance or “drag” on a train that must be overcome by the tractive effort in rounding a curve. Resistance is usually measured in newtons per ton of train weight.

Symbol: CR

Measurement: Reciprocal LengthUnit: mi⁻¹

Note: Value should be greater than 0.

Formulas to find Curve Resistance

Tractive Force

Tractive force is the force needed to overcome the resistance caused by friction when two bodies slide or roll on each other.

Symbol: T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tractive Force

Angle subtended by Radius of Curve for Single Lane

Angle subtended by Radius of Curve for Single Lane is the angle formed by radius of curve where Ls is less than Lc.

Symbol: α₁

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle subtended by Radius of Curve for Single Lane

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Design of Transition Curves and Setback Distances category

Go Rate of Change of Centrifugal Acceleration

C = \frac{{v vehicle}^{3}}{L c \cdot R trans}

Go Length of Transition Curve given Centrifugal Acceleration

L c = \frac{{v vehicle}^{3}}{C \cdot R trans}

Go Rate of Change of Centrifugal Acceleration given Empirical Formula

C = \frac{80}{75 + 3.6 \cdot v vehicle}

Go Length of Transition Curve given Super-Elevation

L c = N \cdot e \cdot (W e + W)

How to Evaluate Curve Resistance?

Curve Resistance evaluator uses Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane) to evaluate the Curve Resistance, Curve Resistance formula is defined as a measure of the resistance offered by a transition curve to the movement of a vehicle, taking into account the track superelevation and the centrifugal force acting on the vehicle, thereby ensuring a safe and smooth passage through the curve. Curve Resistance is denoted by CR symbol.

How to evaluate Curve Resistance using this online evaluator? To use this online evaluator for Curve Resistance, enter Tractive Force (T) & Angle subtended by Radius of Curve for Single Lane (α₁) and hit the calculate button.

FAQs on Curve Resistance

What is the formula to find Curve Resistance?

The formula of Curve Resistance is expressed as Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane). Here is an example- 517997.6 = 0.2-0.2*cos(1.5707963267946).

How to calculate Curve Resistance?

With Tractive Force (T) & Angle subtended by Radius of Curve for Single Lane (α₁) we can find Curve Resistance using the formula - Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane). This formula also uses Cosine (cos) function(s).

Can the Curve Resistance be negative?

No, the Curve Resistance, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Curve Resistance?

Curve Resistance is usually measured using the 1 per Mile[mi⁻¹] for Reciprocal Length. 1 per Meter[mi⁻¹], 1 per Kilometer[mi⁻¹], 1 per Yard[mi⁻¹] are the few other units in which Curve Resistance can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Curve Resistance Formula

Curve Resistance Example

Curve Resistance Solution

Curve Resistance Formula Elements

Other formulas in Design of Transition Curves and Setback Distances category

How to Evaluate Curve Resistance?

FAQs on Curve Resistance

Variable Name