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Turning radius of car when taking turn Formula

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Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock. Check FAQs

R t = \frac{b}{2 \cdot \sin (δ)}

R_t - Turning Radius of Car?b - Wheelbase of Vehicle?δ - Steer Angle?

Turning radius of car when taking turn Example

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Here is how the Turning radius of car when taking turn equation looks like with Values.

Here is how the Turning radius of car when taking turn equation looks like with Units.

Here is how the Turning radius of car when taking turn equation looks like.

1558.8457 = \frac{2700}{2 \cdot \sin (60)}

1558.8457mm = \frac{2700mm}{2 \cdot \sin (60°)}

1558.8457 = \frac{2700}{2 \cdot \sin (60)}

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Turning radius of car when taking turn Solution

Follow our step by step solution on how to calculate Turning radius of car when taking turn?

FIRST Step Consider the formula

R t = \frac{b}{2 \cdot \sin (δ)}

Next Step Substitute values of Variables

∴

R t = \frac{2700mm}{2 \cdot \sin (60°)}

Next Step Convert Units

∴

R t = \frac{2.7m}{2 \cdot \sin (1.0472rad)}

Next Step Prepare to Evaluate

∴

R t = \frac{2.7}{2 \cdot \sin (1.0472)}

Next Step Evaluate

∴

R t = 1.55884572681217m

Next Step Convert to Output's Unit

∴

R t = 1558.84572681217mm

LAST Step Rounding Answer

∴

R t = 1558.8457mm

Turning radius of car when taking turn Formula Elements

Variables

Functions

Turning Radius of Car

Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock.

Symbol: R_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Car

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

Steer Angle

Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.

Symbol: δ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Steer Angle

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 in Turning Dynamics category

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 Front Wheel

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

Go Pivot Centre given Turning Radius of Outer Rear Wheel

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

How to Evaluate Turning radius of car when taking turn?

Turning radius of car when taking turn evaluator uses Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)) to evaluate the Turning Radius of Car, The Turning radius of car when taking turn formula is defined as the radius of the smallest circle a vehicle can make with the steering at full lock. Turning Radius of Car is denoted by R_t symbol.

How to evaluate Turning radius of car when taking turn using this online evaluator? To use this online evaluator for Turning radius of car when taking turn, enter Wheelbase of Vehicle (b) & Steer Angle (δ) and hit the calculate button.

FAQs on Turning radius of car when taking turn

What is the formula to find Turning radius of car when taking turn?

The formula of Turning radius of car when taking turn is expressed as Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)). Here is an example- 1.6E+6 = 2.7/(2*sin(1.0471975511964)).

How to calculate Turning radius of car when taking turn?

With Wheelbase of Vehicle (b) & Steer Angle (δ) we can find Turning radius of car when taking turn using the formula - Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)). This formula also uses Sine (sin) function(s).

Can the Turning radius of car when taking turn be negative?

No, the Turning radius of car when taking turn, measured in Length cannot be negative.

Which unit is used to measure Turning radius of car when taking turn?

Turning radius of car when taking turn is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Turning radius of car when taking turn can be measured.

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