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))
Rturn = 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: 0.32 Radian --> 0.32 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rturn = b/(2*sin(δ)) --> 2.7/(2*sin(0.32))
Evaluating ... ...
Rturn = 4.29161954581522
STEP 3: Convert Result to Output's Unit
4.29161954581522 Meter -->4291.61954581522 Millimeter (Check conversion here)
FINAL ANSWER
4291.61954581522 4291.62 Millimeter <-- Turning Radius of Car
(Calculation completed in 00.004 seconds)

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Ramaiah University of Applied Sciences (RUAS), bangalore
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5 Turning Radius Calculators

Turning radius of outer front wheel while cornering
Go Turning Radius of Outer Front Wheel = (Wheelbase of Vehicle/sin(Angle of Outside Wheel Lock))+((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of front inner wheel while cornering
Go Turning Radius of Inner Front Wheel = (Wheelbase of Vehicle/sin(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of outer rear wheel while cornering
Go Turning Radius of Outer Rear Wheel = (Wheelbase of Vehicle/tan(Angle of Outside Wheel Lock))+((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of rear inner wheel while cornering
Go Turning Radius of Inner Rear Wheel = (Wheelbase of Vehicle/tan(Angle of Inside Wheel Lock))-((Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)
Turning radius of car when taking turn
Go Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle))

Turning radius of car when taking turn Formula

Turning Radius of Car = Wheelbase of Vehicle/(2*sin(Steer Angle))
Rturn = 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 Rturn 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 -> 5.2E+6 = 2.7/(2*sin(0.0055850536063808)).

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 Rturn = 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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