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Pivot Centre given Turning Radius of Outer Front Wheel Formula

GoPivot Centre given Turning Radius of Inner Front Wheel Formula

GoPivot Centre given Turning Radius of Inner Rear Wheel Formula

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Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering. Check FAQs

c = a tw - 2 \cdot (- \frac{b}{\sin (φ)} + R of)

c - Distance between Front Wheel Pivot Center?a_tw - Track Width of Vehicle?b - Wheelbase of Vehicle?φ - Angle of Outside Wheel Lock?R_of - Turning Radius of Outer Front Wheel?

Pivot Centre given Turning Radius of Outer Front Wheel Example

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Here is how the Pivot Centre given Turning Radius of Outer Front Wheel equation looks like with Values.

Here is how the Pivot Centre given Turning Radius of Outer Front Wheel equation looks like with Units.

Here is how the Pivot Centre given Turning Radius of Outer Front Wheel equation looks like.

2579 = 1999 - 2 \cdot (- \frac{2700}{\sin (30)} + 5110)

2579mm = 1999mm - 2 \cdot (- \frac{2700mm}{\sin (30°)} + 5110mm)

2579 = 1999 - 2 \cdot (- \frac{2700}{\sin (30)} + 5110)

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Pivot Centre given Turning Radius of Outer Front Wheel Solution

Follow our step by step solution on how to calculate Pivot Centre given Turning Radius of Outer Front Wheel?

FIRST Step Consider the formula

c = a tw - 2 \cdot (- \frac{b}{\sin (φ)} + R of)

Next Step Substitute values of Variables

∴

c = 1999mm - 2 \cdot (- \frac{2700mm}{\sin (30°)} + 5110mm)

Next Step Convert Units

∴

c = 1.999m - 2 \cdot (- \frac{2.7m}{\sin (0.5236rad)} + 5.11m)

Next Step Prepare to Evaluate

∴

c = 1.999 - 2 \cdot (- \frac{2.7}{\sin (0.5236)} + 5.11)

Next Step Evaluate

∴

c = 2.579m

LAST Step Convert to Output's Unit

∴

c = 2579mm

Pivot Centre given Turning Radius of Outer Front Wheel Formula Elements

Variables

Functions

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.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Front Wheel Pivot Center

Track Width of Vehicle

Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).

Symbol: a_tw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Track Width of Vehicle

Wheelbase of Vehicle

Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wheelbase of Vehicle

Angle of Outside Wheel Lock

Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle of Outside Wheel Lock

Turning Radius of Outer Front Wheel

Turning Radius of Outer Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering.

Symbol: R_of

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Outer Front Wheel

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)

Other Formulas to find Distance between Front Wheel Pivot Center

Go Pivot Centre given Turning Radius of Inner Front Wheel

c = a tw - 2 \cdot (\frac{b}{\sin (θ)} - R if)

Go Pivot Centre given Turning Radius of Inner Rear Wheel

c = a tw - 2 \cdot (\frac{b}{\tan (θ)} - R ir)

Go Pivot Centre given Turning Radius of Outer Rear Wheel

c = a tw - 2 \cdot (- \frac{b}{\tan (φ)} + R or)

Other formulas in Turning Dynamics category

Go Wheel Base given Turning Radius of Inner Front Wheel

b = (R if + \frac{a tw - c}{2}) \cdot \sin (θ)

Go Wheel Base given Turning Radius of Inner Rear Wheel

b = (R ir + \frac{a tw - c}{2}) \cdot \tan (θ)

Go Wheel Base given Turning Radius of Outer Front Wheel

b = (R of - \frac{a tw - c}{2}) \cdot \sin (φ)

Go Wheel Base given Turning Radius of Outer Rear Wheel

b = (R or - \frac{a tw - c}{2}) \cdot \tan (φ)

How to Evaluate Pivot Centre given Turning Radius of Outer Front Wheel?

Pivot Centre given Turning Radius of Outer Front Wheel evaluator uses 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) to evaluate the Distance between Front Wheel Pivot Center, The Pivot Centre given Turning Radius of Outer Front 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 evaluate Pivot Centre given Turning Radius of Outer Front Wheel using this online evaluator? To use this online evaluator for Pivot Centre given Turning Radius of Outer Front Wheel, enter Track Width of Vehicle (a_tw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Front Wheel (R_of) and hit the calculate button.

FAQs on Pivot Centre given Turning Radius of Outer Front Wheel

What is the formula to find Pivot Centre given Turning Radius of Outer Front Wheel?

The formula of Pivot Centre given Turning Radius of Outer Front Wheel is expressed as 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). Here is an example- 1.3E+6 = 1.999-2*(-2.7/sin(0.5235987755982)+5.11).

How to calculate Pivot Centre given Turning Radius of Outer Front Wheel?

With Track Width of Vehicle (a_tw), Wheelbase of Vehicle (b), Angle of Outside Wheel Lock (φ) & Turning Radius of Outer Front Wheel (R_of) we can find Pivot Centre given Turning Radius of Outer Front Wheel using the formula - 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). This formula also uses Sine function(s).

What are the other ways to Calculate Distance between Front Wheel Pivot Center?

Here are the different ways to Calculate Distance between Front Wheel Pivot Center-

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/tan(Angle of Inside Wheel Lock)-Turning Radius of Inner Rear 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)

Can the Pivot Centre given Turning Radius of Outer Front Wheel be negative?

Yes, the Pivot Centre given Turning Radius of Outer Front Wheel, measured in Length can be negative.

Which unit is used to measure Pivot Centre given Turning Radius of Outer Front Wheel?

Pivot Centre given Turning Radius of Outer Front Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pivot Centre given Turning Radius of Outer Front Wheel can be measured.

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Pivot Centre given Turning Radius of Outer Front Wheel Formula

​GoPivot Centre given Turning Radius of Inner Front Wheel Formula

​GoPivot Centre given Turning Radius of Inner Rear Wheel Formula

Pivot Centre given Turning Radius of Outer Front Wheel Example

Pivot Centre given Turning Radius of Outer Front Wheel Solution

Pivot Centre given Turning Radius of Outer Front Wheel Formula Elements

Other Formulas to find Distance between Front Wheel Pivot Center

Other formulas in Turning Dynamics category

How to Evaluate Pivot Centre given Turning Radius of Outer Front Wheel?

FAQs on Pivot Centre given Turning Radius of Outer Front Wheel

Variable Name

GoPivot Centre given Turning Radius of Inner Front Wheel Formula

GoPivot Centre given Turning Radius of Inner Rear Wheel Formula