Mechanical Trail Calculator

✖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.ⓘ Front Tire Radius [R_f]			+10% -10%
✖Rake Angle is the angle between the vertical axis and the kingpin axis of a steering system, affecting the vehicle's handling and stability.ⓘ Rake Angle [α_r]			+10% -10%
✖Triple Clamp Offset is the distance between the steering axis and the center of the steering stem in a triple clamp steering system.ⓘ Triple Clamp Offset [d]			+10% -10%

✖Trail is the distance between the steering axis and the point where the extended axis intersects the road surface in a steering system.ⓘ Mechanical Trail [T_m]

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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_f*sin(α_r)-d)/cos(α_r)
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 the distance between the steering axis and the point where the extended axis intersects the road surface in a steering system.
Front Tire Radius - (Measured in Meter) - 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.
Rake Angle - (Measured in Radian) - Rake Angle is the angle between the vertical axis and the kingpin axis of a steering system, affecting the vehicle's handling and stability.
Triple Clamp Offset - (Measured in Meter) - Triple Clamp Offset is the distance between the steering axis and the center of the steering stem in a triple clamp steering system.

STEP 1: Convert Input(s) to Base Unit

Front Tire Radius: 600 Millimeter --> 0.6 Meter (Check conversion here)
Rake Angle: 0.16 Radian --> 0.16 Radian No Conversion Required
Triple Clamp Offset: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_m = (R_f*sin(α_r)-d)/cos(α_r) --> (0.6*sin(0.16)-0.012)/cos(0.16)

Evaluating ... ...

T_m = 0.0846724208053946

STEP 3: Convert Result to Output's Unit

0.0846724208053946 Meter -->84.6724208053946 Millimeter (Check conversion here)

FINAL ANSWER

84.6724208053946 ≈ 84.67242 Millimeter <-- Trail

(Calculation completed in 00.004 seconds)

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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

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Mechanical Trail Formula

LaTeX Go

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

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 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 calculate Mechanical Trail using this online calculator? To use this online calculator for Mechanical Trail, enter Front Tire Radius (R_f), Rake Angle (α_r) & Triple Clamp Offset (d) and hit the calculate button. Here is how the Mechanical Trail calculation can be explained with given input values -> 84672.42 = (0.6*sin(0.16)-0.012)/cos(0.16).

FAQ

What is Mechanical 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 and is represented as T_m = (R_f*sin(α_r)-d)/cos(α_r) or Trail = (Front Tire Radius*sin(Rake Angle)-Triple Clamp Offset)/cos(Rake Angle). 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, Rake Angle is the angle between the vertical axis and the kingpin axis of a steering system, affecting the vehicle's handling and stability & Triple Clamp Offset is the distance between the steering axis and the center of the steering stem in a triple clamp steering system.

How to calculate Mechanical 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 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_f), Rake Angle (α_r) & 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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