Turning Radius Of Outer Rear Wheel While Cornering Calculator

Formula Used:

\[ R_{or} = \frac{b}{\tan(\phi)} + \frac{a_{tw} - c}{2} \]

Wheelbase of Vehicle (b):

Angle of Outside Wheel Lock (φ):

rad

Track Width of Vehicle (a_tw):

Distance between Front Wheel Pivot Center (c):

Turning Radius of Outer Rear Wheel (R_or):

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

The Turning Radius of Outer Rear Wheel is the radius of the circle traced by the outer rear wheel of a vehicle 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:

\[ R_{or} = \frac{b}{\tan(\phi)} + \frac{a_{tw} - c}{2} \]

Where:

\( R_{or} \) — Turning Radius of Outer Rear Wheel (m)
\( b \) — Wheelbase of Vehicle (m)
\( \phi \) — Angle of Outside 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 outer rear wheel during a turn.

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 outside 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 the vehicle's maneuverability and the minimum space required for turning, which is crucial for urban driving and parking.

Q2: How does wheelbase affect turning radius?
A: Longer wheelbase generally results in a larger turning radius, making the vehicle less maneuverable in tight spaces.

Q3: What is the significance of the outside wheel lock angle?
A: The outside wheel lock angle determines how sharply the vehicle can turn, with larger angles allowing for tighter turns.

Q4: How does track width influence turning radius?
A: Wider track width increases the turning radius as the wheels have to cover a larger arc during turning.

Q5: When is this calculation particularly important?
A: This calculation is essential for vehicle manufacturers, urban planners designing roads and intersections, and for determining parking space requirements.