The formula to convert G-Force to MPH is:
\[ MPH = \sqrt{G \times R} \times 0.681818 \]
Where:
Let's say the G-Force experienced is 2, and the radius of the turn is 500 feet. Using the formula:
\[ MPH = \sqrt{2 \times 500} \times 0.681818 \]
We get:
\[ MPH = \sqrt{1000} \times 0.681818 \approx 31.62 \times 0.681818 \approx 21.55 \]
So, the speed (\( MPH \)) is approximately 21.55 miles per hour.
G-Force, or gravitational force, is a measurement of the type of force per unit mass – typically acceleration – that causes a perception of weight, with 1 g being the force per unit mass due to gravity at the Earth's surface (9.8 m/s² or 32.174 ft/s²). In the context of circular motion, such as a vehicle taking a turn, G-Force can be felt as the centripetal force required to keep the vehicle in a curved path.
Formula: \( v = g \times t \)
Example: \( v = 9.81 \times 5 \)
Formula: \( G = \frac{a}{g} \)
Example: \( G = \frac{19.62}{9.81} \)
Formula: \( G = \frac{r \times \omega^2}{g} \)
Example: \( G = \frac{0.5 \times (10)^2}{9.81} \)
Formula: \( G = \frac{a}{g} \)
Example: \( G = \frac{15}{9.81} \)
