{
  "evidence": "ANALYTICAL_REQUIREMENT_SCREEN_NOT_PHYSICAL_TEST",
  "wheel_fan_bench": [
    {
      "target_downward_force_N": 0.2,
      "total_active_annular_area_m2": 0.0034557519189487734,
      "ideal_induced_power_W": 0.9821280021861476,
      "electrical_requirement_screen_W": [
        1.4550044476831816,
        2.1825066715247723
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 1,
      "total_active_annular_area_m2": 0.0034557519189487734,
      "ideal_induced_power_W": 10.980524877471439,
      "electrical_requirement_screen_W": [
        16.267444262920648,
        24.401166394380972
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 2,
      "total_active_annular_area_m2": 0.0034557519189487734,
      "ideal_induced_power_W": 31.057614407390556,
      "electrical_requirement_screen_W": [
        46.011280603541564,
        69.01692090531235
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 5,
      "total_active_annular_area_m2": 0.0034557519189487734,
      "ideal_induced_power_W": 122.76600027326843,
      "electrical_requirement_screen_W": [
        181.87555596039766,
        272.8133339405965
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 10,
      "total_active_annular_area_m2": 0.0034557519189487734,
      "ideal_induced_power_W": 347.2346851695106,
      "electrical_requirement_screen_W": [
        514.4217558066823,
        771.6326337100236
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    }
  ],
  "full_scale_geometric_context_only": [
    {
      "target_downward_force_N": 1000,
      "total_active_annular_area_m2": 0.3455751918948773,
      "ideal_induced_power_W": 34723.46851695106,
      "electrical_requirement_screen_W": [
        51442.17558066824,
        77163.26337100237
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 2000,
      "total_active_annular_area_m2": 0.3455751918948773,
      "ideal_induced_power_W": 98212.80021861476,
      "electrical_requirement_screen_W": [
        145500.44476831815,
        218250.66715247725
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    },
    {
      "target_downward_force_N": 5000,
      "total_active_annular_area_m2": 0.3455751918948773,
      "ideal_induced_power_W": 388220.18009238195,
      "electrical_requirement_screen_W": [
        575141.0075442696,
        862711.5113164043
      ],
      "screen_basis": "Illustrative fan figure of merit 0.5..0.75 and motor/controller efficiency 0.9; not measured or guaranteed.",
      "limits": "Isolated static momentum theory adapted with active annular area. Ground restriction, crossflow, hub/tire/guard interference and interaction are not solved."
    }
  ],
  "full_scale_note": "Inverse force targets for 10x dimensions; not a vehicle design or prediction that these rotors produce the target.",
  "hydraulic_bench": [
    {
      "target_cylinder_force_each_N": 5,
      "bore_m": 0.008,
      "stroke_m": 0.01,
      "count": 4,
      "required_pressure_Pa": 99471.83943243459,
      "displaced_volume_m3": 2.0106192982974676e-06,
      "ideal_work_J": 0.2,
      "electrical_energy_screen_J": 0.33333333333333337,
      "electrical_power_screen_W": 0.6666666666666667,
      "limits": "Direct axial force only. Actual wheel-hinge torque, inertia, seals, locking, gravity, base-pad reaction and dynamic pressure are not supplied. No qualified pressure hardware."
    },
    {
      "target_cylinder_force_each_N": 10,
      "bore_m": 0.008,
      "stroke_m": 0.01,
      "count": 4,
      "required_pressure_Pa": 198943.67886486917,
      "displaced_volume_m3": 2.0106192982974676e-06,
      "ideal_work_J": 0.4,
      "electrical_energy_screen_J": 0.6666666666666667,
      "electrical_power_screen_W": 1.3333333333333335,
      "limits": "Direct axial force only. Actual wheel-hinge torque, inertia, seals, locking, gravity, base-pad reaction and dynamic pressure are not supplied. No qualified pressure hardware."
    },
    {
      "target_cylinder_force_each_N": 20,
      "bore_m": 0.008,
      "stroke_m": 0.01,
      "count": 4,
      "required_pressure_Pa": 397887.35772973835,
      "displaced_volume_m3": 2.0106192982974676e-06,
      "ideal_work_J": 0.8,
      "electrical_energy_screen_J": 1.3333333333333335,
      "electrical_power_screen_W": 2.666666666666667,
      "limits": "Direct axial force only. Actual wheel-hinge torque, inertia, seals, locking, gravity, base-pad reaction and dynamic pressure are not supplied. No qualified pressure hardware."
    }
  ],
  "pad_grip_thresholds": [
    {
      "added_downward_force_to_weight_ratio": 0,
      "minimum_pad_to_tire_friction_ratio_to_match_straight_line_capacity": 1.0
    },
    {
      "added_downward_force_to_weight_ratio": 0.1,
      "minimum_pad_to_tire_friction_ratio_to_match_straight_line_capacity": 0.9090909090909091
    },
    {
      "added_downward_force_to_weight_ratio": 0.2,
      "minimum_pad_to_tire_friction_ratio_to_match_straight_line_capacity": 0.8333333333333334
    },
    {
      "added_downward_force_to_weight_ratio": 0.5,
      "minimum_pad_to_tire_friction_ratio_to_match_straight_line_capacity": 0.6666666666666666
    },
    {
      "added_downward_force_to_weight_ratio": 1,
      "minimum_pad_to_tire_friction_ratio_to_match_straight_line_capacity": 0.5
    }
  ],
  "grip_formula": "If tires are fully unloaded and pads carry weight+fan load, constant-friction algebra gives mu_pad/mu_tire >=1/(1+Fdown/weight) to match the original tire-only axial force. This is not a braking-distance or stability model.",
  "grip_limits": "Neither coefficient is assigned. Load sensitivity, material wear, water, snow, ice, pad contact transients and steering must be measured.",
  "energy_source": "Electrical bus supplies powered fans and electromagnetic hydraulic drive. Charging recovery and finite reserves are budgeted separately. Permanent magnets alone are not an energy supply.",
  "reference": "https://rotorcraft.arc.nasa.gov/Publications/files/Johnson_AHS-SF2004.pdf"
}