The ground wheel radius is r = 0.60 m, and wheel slip s ranges from 0 to 0.32. The ground speed v is prescribed. Exact external spur-gear tooth ratio is 42 / 18 = 7 / 3.
ω_wheel = v × (1 − s) / r rad/s
ω_meter = −(42/18) × ω_wheel rad/s
seeds/s = 6 × 170 × |ω_meter|/(2π) × gate kernels/s
mass/s = (seeds/s) × thousandKernelMassG/1e6 kg/s
area/s = v × (6 × 0.27) m²/s
rate = (mass/s)/(area/s) × 10,000 kg/ha
At defaults (speed 1.45 m/s, gate 82%, slip 4%, 40 g per 1000 kernels), output is approximately 123 kg/ha. Six rows have 27 cm spacing, total nominal working width 1.62 m. Each row releases 170 kernels/revolution with fully open gate: this is an adjustable illustrative calibration constant, not measured calibration data.
This is an educational, illustrative model of a fictional product: part names, masses, materials and operating figures are simplified and are not a manufacturer's drawing, a design basis or a safety/acceptance document.