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Mechanical Trail Formula

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Trail is the distance between the steering axis and the point where the extended axis intersects the road surface in a steering system. Check FAQs

T m = \frac{R f \cdot \sin (α r) - d}{\cos (α r)}

T_m - Trail?R_f - Front Tire Radius?α_r - Rake Angle?d - Triple Clamp Offset?

Mechanical Trail Example

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With units

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Here is how the Mechanical Trail equation looks like with Values.

Here is how the Mechanical Trail equation looks like with Units.

Here is how the Mechanical Trail equation looks like.

84.6724 = \frac{600 \cdot \sin (0.16) - 12}{\cos (0.16)}

84.6724mm = \frac{600mm \cdot \sin (0.16rad) - 12mm}{\cos (0.16rad)}

84.6724 = \frac{600 \cdot \sin (0.16) - 12}{\cos (0.16)}

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Mechanical Trail Solution

Follow our step by step solution on how to calculate Mechanical Trail?

FIRST Step Consider the formula

T m = \frac{R f \cdot \sin (α r) - d}{\cos (α r)}

Next Step Substitute values of Variables

∴

T m = \frac{600mm \cdot \sin (0.16rad) - 12mm}{\cos (0.16rad)}

Next Step Convert Units

∴

T m = \frac{0.6m \cdot \sin (0.16rad) - 0.012m}{\cos (0.16rad)}

Next Step Prepare to Evaluate

∴

T m = \frac{0.6 \cdot \sin (0.16) - 0.012}{\cos (0.16)}

Next Step Evaluate

∴

T m = 0.0846724208053946m

Next Step Convert to Output's Unit

∴

T m = 84.6724208053946mm

LAST Step Rounding Answer

∴

T m = 84.6724mm

Mechanical Trail Formula Elements

Variables

Functions

Trail

Trail is the distance between the steering axis and the point where the extended axis intersects the road surface in a steering system.

Symbol: T_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Trail

Front Tire Radius

Front Tire Radius is the distance from the center of the front tire to the outer circumference, affecting the steering system's overall performance and stability.

Symbol: R_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Front Tire Radius

Rake Angle

Rake Angle is the angle between the vertical axis and the kingpin axis of a steering system, affecting the vehicle's handling and stability.

Symbol: α_r

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Rake Angle

Triple Clamp Offset

Triple Clamp Offset is the distance between the steering axis and the center of the steering stem in a triple clamp steering system.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Triple Clamp Offset

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Steering Parameters category

Go Angle of Outside Wheel Lock Satisfying Correct Steering Condition

θ out = a \cot (\cot (θ in) + \frac{c}{L})

Go Angle of Inside Wheel Lock Satisfying Correct Steering Condition

θ in = a \cot (\cot (θ out) - \frac{c}{L})

Go Motion Ratio or Installation Ratio in Suspension

M.R. = \frac{ST}{WT}

Go Angle of Inside Lock given Turning Radius of Inner Front Wheel

θ in = a \sin (\frac{L}{R IF + \frac{a tw - c}{2}})

How to Evaluate Mechanical Trail?

Mechanical Trail evaluator uses Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle) to evaluate the Trail, Mechanical Trail formula is defined as the distance between the point of intersection of the steering axis and the road surface and a vertical line through the center of the wheel, which affects the stability and handling of a vehicle, particularly at high speeds or when cornering. Trail is denoted by T_m symbol.

How to evaluate Mechanical Trail using this online evaluator? To use this online evaluator for Mechanical Trail, enter Front Tire Radius (R_f), Rake Angle (α_r) & Triple Clamp Offset (d) and hit the calculate button.

FAQs on Mechanical Trail

What is the formula to find Mechanical Trail?

The formula of Mechanical Trail is expressed as Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle). Here is an example- 84672.42 = (0.6*sin(0.16)-0.012)/cos(0.16).

How to calculate Mechanical Trail?

With Front Tire Radius (R_f), Rake Angle (α_r) & Triple Clamp Offset (d) we can find Mechanical Trail using the formula - Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle). This formula also uses Sine, Cosine function(s).

Can the Mechanical Trail be negative?

No, the Mechanical Trail, measured in Length cannot be negative.

Which unit is used to measure Mechanical Trail?

Mechanical Trail is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mechanical Trail can be measured.

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Mechanical Trail Formula

Mechanical Trail Example

Mechanical Trail Solution

Mechanical Trail Formula Elements

Other formulas in Steering Parameters category

How to Evaluate Mechanical Trail?

FAQs on Mechanical Trail

Variable Name