To calculate the turning radius:
\[ TR = \frac{WB}{\tan(a)} \]
Where:
A turning radius is the radius at which a car will rotate, or turn, given a certain wheelbase length and an angle of turn of the wheels. This formula assumes a perfect theoretical turning scenario. In real-world situations, this turning radius would vary depending on wheel tilt, friction, and many other factors.
Let's assume the following values:
Using the formula:
Step 1: Convert the angle from degrees to radians:
\[ a_{rad} = \deg2rad(30) \approx 0.5236 \text{ radians} \]
Step 2: Calculate the turning radius:
\[ TR = \frac{2.5}{\tan(0.5236)} \approx 4.33 \text{ meters} \]
The turning radius is approximately 4.33 meters.
Let's assume the following values:
Using the formula:
Step 1: Convert the angle from degrees to radians:
\[ a_{rad} = \deg2rad(45) \approx 0.7854 \text{ radians} \]
Step 2: Calculate the turning radius:
\[ TR = \frac{3}{\tan(0.7854)} \approx 3 \text{ meters} \]
The turning radius is approximately 3 meters.
