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Turning Circle/Radius Calculator

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How do you determine the turning radius of a vehicle? The Turning Radius Calculator helps you find out. The turning radius is the smallest circular turn a vehicle can make. This calculator can be used in two modes: Basic and Advanced.

Turning Radius Calculator









vehicle turning radius chart

How to Use the Calculator

1. Basic Calculator

  1. Wheel Base (m): Enter the wheel base of the vehicle, such as 2.5 meters.
  2. Turn Angle (degrees): Input the turn angle, for instance, 30 degrees.
  3. Turning Radius (m): Leave this blank to calculate the turning radius, or input a value if you want to calculate the wheel base or turn angle.

2. Advanced Calculator

  1. Wheel Base (m): Enter the wheel base of the vehicle, for example, 2.8 meters.
  2. Turn Angle (degrees): Input the turn angle, such as 45 degrees.
  3. Track Width (m): Enter the track width, like 1.6 meters.
  4. Coefficient of Friction: Input the coefficient of friction, for instance, 0.8.

Formula

For the basic calculator, the formula to find the turning radius is:

 
 

Variables

Variable Description
TR Turning Radius (m)
WB Wheel Base (m)
a Turn Angle (degrees)

How To Calculate Car Turning Radius

Example 1: Basic Calculator

  • Wheel Base (m): 3.0 meters
  • Turn Angle (degrees): 35 degrees
  • Turning Radius (m): Leave blank

To calculate the Turning Radius:

1. Convert the turn angle to radians:

      a=35×π180=0.6109radians

2. Use the formula:

     TR=3.0tan(0.6109)

3. Calculate:

     TR=3.00.7002=4.28meters

So, the turning radius is 4.28 meters.

 

Example 2: Advanced Calculator

  • Wheel Base (m): 2.5 meters
  • Turn Angle (degrees): 40 degrees
  • Track Width (m): 1.5 meters
  • Coefficient of Friction: 0.85

To calculate the Optimal Speed for Turn:

1. Convert the turn angle to radians:

       a=40×π180=0.6981radians

2. Calculate the turning radius:

     TR=2.5sin(0.6981)TR=2.50.6428=3.89meters

3. Calculate the inside wheel turn radius:

      Inside Wheel TR=3.891.52=3.14meters

4. Calculate the optimal speed:

      Optimal Speed=3.14×0.85×9.81×3.6 Optimal Speed=26.15×3.6=5.11×3.6=18.38km/h

So, the optimal speed for the turn is 18.38 km/h.

Vehicle Turning Radius Chart (Approximate)

Vehicle Type Turning Radius (meters)
Compact Car 4.7 – 5.5
Sedan 5.5 – 6.1
SUV 5.9 – 6.7
Pickup Truck 6.2 – 7.3
Minivan 5.7 – 6.5
Full-size Car 5.9 – 6.5
Sports Car 5.0 – 5.7
Small Commercial Van 6.1 – 7.0
Large Commercial Truck 10.7 – 12.5
Bus (City) 10.0 – 12.0
Heavy-Duty Truck 12.0 – 14.0
Motorcycle 2.3 – 3.0

Thank you for using our tool.

 

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