Free Fall Acceleration Calculator
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Free Fall Acceleration Formula
The formula to calculate the Free Fall Acceleration is:
\[ A_{\text{ff}} = g - \left(\frac{F_a}{m}\right) \]
Where:
- \( A_{\text{ff}} \) is the Free Fall Acceleration (m/s²)
- \( F_a \) is the force of air resistance (N)
- \( m \) is the mass of the object (kg)
- \( g \) is the acceleration due to gravity, which is approximately 9.81 m/s²
Calculation Steps
- Determine the force of air resistance (\( F_a \)) acting on the object in newtons (N).
- Measure the mass (\( m \)) of the object in kilograms (kg).
- Subtract the ratio of air resistance to mass from the gravitational acceleration (9.81 m/s²).
Example Calculation
If the force of air resistance is 2 N and the mass of the object is 10 kg, the free-fall acceleration is calculated as follows:
\[ A_{\text{ff}} = 9.81 - \left(\frac{2}{10}\right) = 9.81 - 0.2 = 9.61 \, \text{m/s²} \]
Units for Free Fall Acceleration
In the International System of Units (SI), Free Fall Acceleration is measured in meters per second squared (m/s²).
Importance of Calculating Free Fall Acceleration
Calculating the free-fall acceleration of an object considering air resistance is crucial for understanding the actual motion dynamics of objects in a real-world environment. It helps in predicting the object's behavior under the influence of both gravity and air resistance.