Turning Radius Of Rear Inner Wheel While Cornering Calculator

Formula Used:

\[ R_{ir} = \frac{b}{\tan(\theta)} - \frac{a_{tw} - c}{2} \]

Wheelbase of Vehicle (b):

Angle of Inside Wheel Lock (θ):

rad

Track Width of Vehicle (a_tw):

Distance between Front Wheel Pivot Center (c):

Turning Radius of Inner Rear Wheel (R_ir):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Turning Radius of Rear Inner Wheel?

The Turning Radius of Inner Rear Wheel while cornering is the radius of circle traced by inner rear wheel while cornering. It's a critical parameter in vehicle dynamics that determines the minimum space required for a vehicle to make a turn.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{ir} = \frac{b}{\tan(\theta)} - \frac{a_{tw} - c}{2} \]

Where:

\( R_{ir} \) — Turning Radius of Inner Rear Wheel (m)
\( b \) — Wheelbase of Vehicle (m)
\( \theta \) — Angle of Inside Wheel Lock (rad)
\( a_{tw} \) — Track Width of Vehicle (m)
\( c \) — Distance between Front Wheel Pivot Center (m)

Explanation: The formula calculates the turning radius by considering the vehicle's wheelbase, steering angle, track width, and pivot center distance to determine the path of the inner rear wheel during cornering.

3. Importance of Turning Radius Calculation

Details: Accurate turning radius calculation is crucial for vehicle design, road design, parking space planning, and ensuring vehicle maneuverability in confined spaces.

4. Using the Calculator

Tips: Enter wheelbase in meters, angle of inside wheel lock in radians, track width in meters, and distance between front wheel pivot center in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the turning radius important in vehicle design?
A: The turning radius determines how easily a vehicle can maneuver in tight spaces, affecting parking, U-turns, and overall drivability in urban environments.

Q2: How does wheelbase affect turning radius?
A: Generally, vehicles with shorter wheelbases have smaller turning radii, making them more maneuverable than vehicles with longer wheelbases.

Q3: What is the difference between turning radius and curb-to-curb turning circle?
A: Turning radius refers to the radius of the path followed by a specific wheel, while curb-to-curb turning circle refers to the diameter of the smallest circle the vehicle can turn within.

Q4: How does steering angle affect turning radius?
A: Larger steering angles result in smaller turning radii, allowing the vehicle to make tighter turns.

Q5: Are there different turning radii for front and rear wheels?
A: Yes, the inner and outer wheels follow different paths during a turn, resulting in different turning radii for each wheel position.