SUMMARY
The terminal velocity of a skydiver can be calculated using the equation D = 1/2 C p A v^2, where D is the drag force, C is the drag coefficient, p is the air density, A is the cross-sectional area, and v is the velocity. In this discussion, the parameters provided include a mass (m) of 84 kg, a drag coefficient (C) of 0.8, an air density (p) of 1.2 kg/m^3, and a cross-sectional area (A) of 987 cm^2. The correct formula to find terminal velocity is v = sqrt((2mg)/(CpA)), which requires converting the area from cm^2 to m^2. The initial calculation of 1.38 m/s is incorrect due to the area conversion oversight.
PREREQUISITES
- Understanding of physics concepts related to forces and motion
- Familiarity with the drag equation in fluid dynamics
- Knowledge of unit conversions, specifically area from cm^2 to m^2
- Basic algebra skills for solving equations
NEXT STEPS
- Learn about fluid dynamics and the principles of drag force
- Study the concept of terminal velocity in different contexts
- Practice unit conversion techniques, especially for area measurements
- Explore advanced physics problems involving forces and motion
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and fluid dynamics, as well as educators looking for examples of terminal velocity calculations.