Wheel Base given Turning Radius of Outer Rear Wheel Calculator

✖Turning Radius of Outer Rear Wheel while cornering is the radius of circle traced by outer rear wheel while cornering.ⓘ Turning Radius of Outer Rear Wheel [R_or]			+10% -10%
✖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%
✖Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.ⓘ Distance between Front Wheel Pivot Center [c]			+10% -10%
✖Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.ⓘ Angle of Outside Wheel Lock [φ]			+10% -10%

✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheel Base given Turning Radius of Outer Rear Wheel [b]

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Wheel Base given Turning Radius of Outer Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock)
b = (R_or-(a_tw-c)/2)*tan(φ)
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

Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Turning Radius of Outer Rear Wheel - (Measured in Meter) - Turning Radius of Outer Rear Wheel while cornering is the radius of circle traced by outer rear wheel 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).
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.
Angle of Outside Wheel Lock - (Measured in Radian) - Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.

STEP 1: Convert Input(s) to Base Unit

Turning Radius of Outer Rear Wheel: 5000 Millimeter --> 5 Meter (Check conversion here)
Track Width of Vehicle: 1999 Millimeter --> 1.999 Meter (Check conversion here)
Distance between Front Wheel Pivot Center: 1300 Millimeter --> 1.3 Meter (Check conversion here)
Angle of Outside Wheel Lock: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (R_or-(a_tw-c)/2)*tan(φ) --> (5-(1.999-1.3)/2)*tan(0.5235987755982)

Evaluating ... ...

b = 2.68496742686635

STEP 3: Convert Result to Output's Unit

2.68496742686635 Meter -->2684.96742686635 Millimeter (Check conversion here)

FINAL ANSWER

2684.96742686635 ≈ 2684.967 Millimeter <-- Wheelbase of Vehicle

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Turning Dynamics » Wheel Base given Turning Radius of Outer Rear Wheel

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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)

Wheel Base given Turning Radius of Outer Rear Wheel Formula

LaTeX Go

Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock)
b = (R_or-(a_tw-c)/2)*tan(φ)

What is Wheelbase of vehicle?

Wheelbase of vehicle is the center distance between the front and the rear axle of the vehicle. As wheelbase increases turning radius also increases..

How to Calculate Wheel Base given Turning Radius of Outer Rear Wheel?

Wheel Base given Turning Radius of Outer Rear Wheel calculator uses Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock) to calculate the Wheelbase of Vehicle, The Wheel Base given Turning Radius of Outer Rear Wheel is the center distance between the front and the rear axle of the vehicle. Wheelbase of Vehicle is denoted by b symbol.

How to calculate Wheel Base given Turning Radius of Outer Rear Wheel using this online calculator? To use this online calculator for Wheel Base given Turning Radius of Outer Rear Wheel, enter Turning Radius of Outer Rear Wheel (R_or), Track Width of Vehicle (a_tw), Distance between Front Wheel Pivot Center (c) & Angle of Outside Wheel Lock (φ) and hit the calculate button. Here is how the Wheel Base given Turning Radius of Outer Rear Wheel calculation can be explained with given input values -> 3.2E+6 = (5-(1.999-1.3)/2)*tan(0.5235987755982).

FAQ

What is Wheel Base given Turning Radius of Outer Rear Wheel?

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

How to calculate Wheel Base given Turning Radius of Outer Rear Wheel?

The Wheel Base given Turning Radius of Outer Rear Wheel is the center distance between the front and the rear axle of the vehicle is calculated using Wheelbase of Vehicle = (Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)*tan(Angle of Outside Wheel Lock). To calculate Wheel Base given Turning Radius of Outer Rear Wheel, you need Turning Radius of Outer Rear Wheel (R_or), Track Width of Vehicle (a_tw), Distance between Front Wheel Pivot Center (c) & Angle of Outside Wheel Lock (φ). With our tool, you need to enter the respective value for Turning Radius of Outer Rear Wheel, Track Width of Vehicle, Distance between Front Wheel Pivot Center & Angle of Outside Wheel Lock 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 Wheelbase of Vehicle?

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

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

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