Physics MCP Server

The drag force opposes motion and is given by: F_drag = 0.5 * ρ * v² * C_d * A Common drag coefficients: - Sphere: 0.47 - Streamlined shape: 0.04 - Flat plate (perpendicular): 1.28 - Human (standing): 1.0-1.3 - Car: 0.25-0.35 Args: velocity: Velocity vector [x, y, z] in m/s (or JSON string) cross_sectional_area: Area perpendicular to flow in m² fluid_density: Fluid density in kg/m³ (water=1000, air=1.225) drag_coefficient: Drag coefficient (default 0.47 for sphere) viscosity: Dynamic viscosity in Pa·s (water=1.002e-3, air=1.825e-5, oil=0.1). If not provided, estimated from fluid_density for Reynolds number calculation. Returns: Drag force vector, magnitude, and Reynolds number Example - Ball falling through water: result = await calculate_drag_force( velocity=[0, -5.0, 0], cross_sectional_area=0.00785, # π * (0.05m)² for 10cm diameter fluid_density=1000, # water drag_coefficient=0.47, viscosity=1.002e-3 # water viscosity for accurate Reynolds number ) # Returns upward drag force opposing downward motion Example - Ball falling through motor oil: result = await calculate_drag_force( velocity=[0, -2.0, 0], cross_sectional_area=0.00785, fluid_density=900, # oil drag_coefficient=0.47, viscosity=0.1 # motor oil is much more viscous )