Pivot Centre given Turning Radius of Inner Rear Wheel Calculator

✖Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).ⓘ Track Width of Vehicle [a_tw]			+10% -10%
✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [b]			+10% -10%
✖Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.ⓘ Angle of Inside Wheel Lock [θ]			+10% -10%
✖Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.ⓘ Turning Radius of Inner Rear Wheel [R_ir]			+10% -10%

✖Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.ⓘ Pivot Centre given Turning Radius of Inner Rear Wheel [c]

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Pivot Centre given Turning Radius of Inner Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel)
c = a_tw-2*(b/tan(θ)-R_ir)
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Distance between Front Wheel Pivot Center - (Measured in Meter) - Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.
Track Width of Vehicle - (Measured in Meter) - Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Angle of Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
Turning Radius of Inner Rear Wheel - (Measured in Meter) - Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.

STEP 1: Convert Input(s) to Base Unit

Track Width of Vehicle: 1999 Millimeter --> 1.999 Meter (Check conversion here)
Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Angle of Inside Wheel Lock: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Turning Radius of Inner Rear Wheel: 2900 Millimeter --> 2.9 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = a_tw-2*(b/tan(θ)-R_ir) --> 1.999-2*(2.7/tan(0.698131700797601)-2.9)

Evaluating ... ...

c = 1.36353059998956

STEP 3: Convert Result to Output's Unit

1.36353059998956 Meter -->1363.53059998956 Millimeter (Check conversion here)

FINAL ANSWER

1363.53059998956 ≈ 1363.531 Millimeter <-- Distance between Front Wheel Pivot Center

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Turning Dynamics » Pivot Centre given Turning Radius of Inner Rear Wheel

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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< Turning Dynamics Calculators

Pivot Centre given Turning Radius of Outer Front Wheel

LaTeX Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front Wheel)

Pivot Centre given Turning Radius of Outer Rear Wheel

LaTeX Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)

Pivot Centre given Turning Radius of Inner Front Wheel

LaTeX Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)

Pivot Centre given Turning Radius of Inner Rear Wheel

LaTeX Go Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel)

Pivot Centre given Turning Radius of Inner Rear Wheel Formula

LaTeX Go

Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel)
c = a_tw-2*(b/tan(θ)-R_ir)

What is Distance between front wheel pivot center?

Distance between front wheel pivot center is the distance between those points about which both front wheels pivot while cornering.

How to Calculate Pivot Centre given Turning Radius of Inner Rear Wheel?

Pivot Centre given Turning Radius of Inner Rear Wheel calculator uses Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel) to calculate the Distance between Front Wheel Pivot Center, The Pivot Centre given Turning Radius of Inner Rear Wheel is the distance between those points about which both front wheels pivot while cornering. Distance between Front Wheel Pivot Center is denoted by c symbol.

How to calculate Pivot Centre given Turning Radius of Inner Rear Wheel using this online calculator? To use this online calculator for Pivot Centre given Turning Radius of Inner Rear Wheel, enter Track Width of Vehicle (a_tw), Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ) & Turning Radius of Inner Rear Wheel (R_ir) and hit the calculate button. Here is how the Pivot Centre given Turning Radius of Inner Rear Wheel calculation can be explained with given input values -> 1.4E+6 = 1.999-2*(2.7/tan(0.698131700797601)-2.9).

FAQ

What is Pivot Centre given Turning Radius of Inner Rear Wheel?

The Pivot Centre given Turning Radius of Inner Rear Wheel is the distance between those points about which both front wheels pivot while cornering and is represented as c = a_tw-2*(b/tan(θ)-R_ir) or Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel). Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle), Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle, Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering & Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering.

How to calculate Pivot Centre given Turning Radius of Inner Rear Wheel?

The Pivot Centre given Turning Radius of Inner Rear Wheel is the distance between those points about which both front wheels pivot while cornering is calculated using Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear Wheel). To calculate Pivot Centre given Turning Radius of Inner Rear Wheel, you need Track Width of Vehicle (a_tw), Wheelbase of Vehicle (b), Angle of Inside Wheel Lock (θ) & Turning Radius of Inner Rear Wheel (R_ir). With our tool, you need to enter the respective value for Track Width of Vehicle, Wheelbase of Vehicle, Angle of Inside Wheel Lock & Turning Radius of Inner Rear Wheel 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 Distance between Front Wheel Pivot Center?

In this formula, Distance between Front Wheel Pivot Center uses Track Width of Vehicle, Wheelbase of Vehicle, Angle of Inside Wheel Lock & Turning Radius of Inner Rear Wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -

Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock)-Turning Radius of Inner Front Wheel)
Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock)+Turning Radius of Outer Front Wheel)
Distance between Front Wheel Pivot Center = Track Width of Vehicle-2*(-Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock)+Turning Radius of Outer Rear Wheel)

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