The formula to calculate the Average Resistive Force is:
\[ ARF = m \cdot \frac{Vi - Vf}{t} \]
Where:
Let's say the mass (m) is 10 kg, the initial velocity (Vi) is 20 m/s, the final velocity (Vf) is 5 m/s, and the total time (t) is 3 s. The average resistive force would be calculated as follows:
\[ ARF = 10 \cdot \frac{20 - 5}{3} \approx 50 \text{ N} \]
So, the average resistive force is approximately 50 N.
An average resistive force is the total force that has acted on an object over a given period of time, causing the object to reduce its velocity. It is calculated by multiplying the mass of the object by the change in velocity, then dividing by the total time.
Definition: Resistance force is the force that opposes the motion of an object.
Formula: \( F_r = \mu N \)
Example: \( F_r = 0.5 \times 100 \, \text{N} \)
Definition: The resistive force acting on a body moving through a fluid.
Formula: \( F = C_d \rho v^2 A \)
Example: \( F = 0.47 \times 1.225 \, \text{kg/m}^3 \times (10 \, \text{m/s})^2 \times 0.75 \, \text{m}^2 \)
Definition: This calculator converts resistivity to resistance based on the material's dimensions.
Formula: \( R = \rho \frac{L}{A} \)
Example: \( R = 1.68 \times 10^{-8} \, \Omega \cdot \text{m} \times \frac{2 \, \text{m}}{1 \times 10^{-6} \, \text{m}^2} \)
Definition: Air resistance is the force exerted by air against the motion of an object.
Formula: \( F = \frac{1}{2} \rho v^2 C_d A \)
Example: \( F = \frac{1}{2} \times 1.225 \, \text{kg/m}^3 \times (15 \, \text{m/s})^2 \times 0.47 \times 0.5 \, \text{m}^2 \)
Definition: This calculation determines the resistance of a material based on its resistivity and dimensions.
Formula: \( R = \rho \frac{L}{A} \)
Example: \( R = 2.82 \times 10^{-8} \, \Omega \cdot \text{m} \times \frac{1.5 \, \text{m}}{2 \times 10^{-6} \, \text{m}^2} \)
