Turning radius of car when taking turn Calculator

✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [b]			+10% -10%
✖Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.ⓘ Steer Angle [δ]			+10% -10%

✖Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock.ⓘ Turning radius of car when taking turn [R_t]

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Turning radius of car when taking turn Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle))
R_t = b/(2*sin(δ))
This formula uses 1 Functions, 3 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)

Variables Used

Turning Radius of Car - (Measured in Meter) - Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Steer Angle - (Measured in Radian) - Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.

STEP 1: Convert Input(s) to Base Unit

Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Steer Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = b/(2*sin(δ)) --> 2.7/(2*sin(1.0471975511964))

Evaluating ... ...

R_t = 1.55884572681217

STEP 3: Convert Result to Output's Unit

1.55884572681217 Meter -->1558.84572681217 Millimeter (Check conversion here)

FINAL ANSWER

1558.84572681217 ≈ 1558.846 Millimeter <-- Turning Radius of Car

(Calculation completed in 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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National Institute Of Technology (NIT), Hamirpur

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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)

Turning radius of car when taking turn Formula

LaTeX Go

Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle))
R_t = b/(2*sin(δ))

What is the significance of turning radius of a car?

Turning radius is the radius of the smallest circle a vehicle can make with the steering at full lock. It is a function of the wheelbase, the front tire width, and the angle the front wheels can be steered, but there are a number of factors that play into how automakers choose these dimensions.

How to Calculate Turning radius of car when taking turn?

Turning radius of car when taking turn calculator uses Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)) to calculate 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 calculate Turning radius of car when taking turn using this online calculator? To use this online calculator for Turning radius of car when taking turn, enter Wheelbase of Vehicle (b) & Steer Angle (δ) and hit the calculate button. Here is how the Turning radius of car when taking turn calculation can be explained with given input values -> 1.6E+6 = 2.7/(2*sin(1.0471975511964)).

FAQ

What is Turning radius of car when taking turn?

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 and is represented as R_t = b/(2*sin(δ)) or Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)). Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle & Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.

How to calculate Turning radius of car when taking turn?

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 is calculated using Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle)). To calculate Turning radius of car when taking turn, you need Wheelbase of Vehicle (b) & Steer Angle (δ). With our tool, you need to enter the respective value for Wheelbase of Vehicle & Steer Angle 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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