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chrishayuk

Physics MCP Server

by chrishayuk

simulate_underwater_motion

Simulate underwater projectile trajectories by calculating motion with drag, buoyancy, and gravity forces to model realistic aquatic movement.

Instructions

Simulate underwater projectile motion with drag and buoyancy.

Uses numerical integration to simulate motion under: - Gravity (downward) - Buoyancy (upward, from displaced fluid) - Drag (opposes motion) Args: initial_velocity: Initial velocity [x, y, z] in m/s mass: Object mass in kg volume: Object volume in m³ cross_sectional_area: Cross-sectional area in m² fluid_density: Fluid density in kg/m³ (default 1000 for water) fluid_viscosity: Fluid viscosity in Pa·s (default 1.002e-3 for water) initial_position: Initial position [x, y, z] in m (default [0,0,0]) drag_coefficient: Drag coefficient (default 0.47 for sphere) gravity: Gravitational acceleration in m/s² (default 9.81) duration: Simulation duration in seconds (default 10.0) dt: Time step in seconds (default 0.01) Returns: Complete trajectory, final state, max depth, and total distance Example - Torpedo launch: result = await simulate_underwater_motion( initial_velocity=[20, 0, 0], # 20 m/s forward mass=100, # kg volume=0.05, # m³ cross_sectional_area=0.03, # m² fluid_density=1000, # water drag_coefficient=0.04, # streamlined duration=30.0 )

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
initial_velocityYes
massYes
volumeYes
cross_sectional_areaYes
fluid_densityNo
fluid_viscosityNo
initial_positionNo
drag_coefficientNo
gravityNo
durationNo
dtNo

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