Mechanical Trail Calculator

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✖Front Tire Radius is the radius of the front wheel of the motorcycle.ⓘ Front Tire Radius [R]			+10% -10%
✖Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.ⓘ Rake Angle [α]			+10% -10%
✖Triple Clamp Offset the difference between the centerline of the forks and the centerline of the steering head.ⓘ Triple Clamp Offset [d]			+10% -10%

✖Trail is defined as the distance the front tire’s contact patch “trails” the imaginary point where the steering axis intersects the ground.ⓘ Mechanical Trail [T_m]

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Formula

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Mechanical Trail

Formula

`"T"_{"m"} = ("R"*sin("α")-"d")/cos("α")`

Example

`"68.06523mm"=("600mm"*sin("8.56°")-"22mm")/cos("8.56°")`

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Mechanical Trail Solution

STEP 0: Pre-Calculation Summary

Formula Used

Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle)
T_m = (R*sin(α)-d)/cos(α)
This formula uses 2 Functions, 4 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Trail - (Measured in Meter) - Trail is defined as the distance the front tire’s contact patch “trails” the imaginary point where the steering axis intersects the ground.
Front Tire Radius - (Measured in Meter) - Front Tire Radius is the radius of the front wheel of the motorcycle.
Rake Angle - (Measured in Radian) - Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.
Triple Clamp Offset - (Measured in Meter) - Triple Clamp Offset the difference between the centerline of the forks and the centerline of the steering head.

STEP 1: Convert Input(s) to Base Unit

Front Tire Radius: 600 Millimeter --> 0.6 Meter (Check conversion here)
Rake Angle: 8.56 Degree --> 0.149400183970687 Radian (Check conversion here)
Triple Clamp Offset: 22 Millimeter --> 0.022 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_m = (R*sin(α)-d)/cos(α) --> (0.6*sin(0.149400183970687)-0.022)/cos(0.149400183970687)

Evaluating ... ...

T_m = 0.068065225093086

STEP 3: Convert Result to Output's Unit

0.068065225093086 Meter -->68.065225093086 Millimeter (Check conversion here)

FINAL ANSWER

68.065225093086 ≈ 68.06523 Millimeter <-- Trail

(Calculation completed in 00.020 seconds)

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Credits

Created by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 9 Automobile Calculators

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Mechanical Trail

Go Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle)

Total axial force

Go Total Axial Load = (pi*Pressure of Intensity*(Outer Diameter of Friction Disc^2-Inner Diameter of Friction Disc^2))/4

Tire Rate given Wheel Rate and Ride Rate

Go Tire rate = (Wheel rate of vehicle*Ride rate of car)/(Wheel rate of vehicle-Ride rate of car)

Wheel Flop

Go Wheel Flop Factor = Trail*sin(Head Angle)*cos(Head Angle)

Distance to Travel to exhaust EV Battery

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Wheel Rate given Tire Rate and Ride Rate

Go Wheel rate of vehicle = (Tire rate*Ride rate of car)/(Tire rate-Ride rate of car)

Maximum Permissible Speed on Transitioned Curves

Go Maximum Velocity = 0.347*sqrt((Cant+Cant deficiency)*Radius of Curvature)

Bump Force of Car

Go Bump_force = Torque hinge/Length suspensionarm

Mechanical Trail Formula

Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle)
T_m = (R*sin(α)-d)/cos(α)

What is Ground Trail?

Ground Trail is the horizontal measurement along the ground from the front contact point to where the steering axis intersects the ground.

How to Calculate Mechanical Trail?

Mechanical Trail calculator uses Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle) to calculate the Trail, Mechanical trail is the perpendicular distance between the steering axis and the point of contact between the front wheel and the ground. It may also be referred to as normal trail. Trail is denoted by T_m symbol.

How to calculate Mechanical Trail using this online calculator? To use this online calculator for Mechanical Trail, enter Front Tire Radius (R), Rake Angle (α) & Triple Clamp Offset (d) and hit the calculate button. Here is how the Mechanical Trail calculation can be explained with given input values -> 68065.23 = (0.6*sin(0.149400183970687)-0.022)/cos(0.149400183970687).

FAQ

What is Mechanical Trail?

Mechanical trail is the perpendicular distance between the steering axis and the point of contact between the front wheel and the ground. It may also be referred to as normal trail and is represented as T_m = (R*sin(α)-d)/cos(α) or Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle). Front Tire Radius is the radius of the front wheel of the motorcycle, Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane & Triple Clamp Offset the difference between the centerline of the forks and the centerline of the steering head.

How to calculate Mechanical Trail?

Mechanical trail is the perpendicular distance between the steering axis and the point of contact between the front wheel and the ground. It may also be referred to as normal trail is calculated using Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle). To calculate Mechanical Trail, you need Front Tire Radius (R), Rake Angle (α) & Triple Clamp Offset (d). With our tool, you need to enter the respective value for Front Tire Radius, Rake Angle & Triple Clamp Offset and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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