1001Ferramentas
🛞 Calculators

Tractor Wheel Slip

Calculate the wheel slip of a tractor, slip = (1 − D_loaded ÷ D_unloaded) × 100%, comparing the distance traveled in a number of wheel revolutions under load (D_loaded) and unloaded (D_unloaded). The result, in %, measures how much the wheels spin without advancing, by slipping on the soil. Excessive slip wastes power and fuel and compacts the soil; zero slip indicates lack of traction. The ideal range for farm tractors is typically 8 to 15% on firm soil, adjusted with ballast and tire pressure. It is a key traction efficiency indicator. Enter the loaded and unloaded distances.

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Tractor wheel slip

When a tractor pulls a heavy implement, its drive tires do not advance as far as they would with no load — part of the wheel rotation is lost to slippage at the tire-soil interface. Wheel slip quantifies that loss: slip = (1 − D_loaded ÷ D_unloaded) × 100%, comparing the distance travelled over a fixed number of wheel revolutions under load (D_loaded) and with no load (D_unloaded). For example, if over 10 revolutions the tractor advances 100 m unloaded but only 90 m while pulling the plow, wheel slip is 10%. Slip is a surprisingly important indicator of efficiency, and there is an optimum band. Slip that is too low (below roughly 8%) means the tractor carries excess ballast — too much weight on the wheels, burning fuel merely to haul its own mass and compacting the soil with no need. Slip that is too high (above roughly 15-20%) means grip is lacking: the wheels spin free, much of the engine power turns into heat and tire wear instead of useful drawbar pull, and the soil gets smeared and churned. The ideal band on firm ground runs from 8 to 15% (higher on loose ground). Slip is tuned into that band by adding or removing ballast (wheel weights or water in the tires) and by adjusting tire pressure (lower pressure enlarges the contact patch and improves grip). Measuring slip in the field (with tape markers on the wheels, or nowadays with GPS comparing true and theoretical speed) is a setup practice that saves fuel and protects the soil. Enter the loaded and unloaded distances.

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Adhesion Tractive Effort (Locomotive)

Calculate a locomotive's maximum tractive effort limited by adhesion, F = μ·W, from the wheel-rail adhesion coefficient μ (typically 0.25-0.35 dry, less with rain, ice or leaves) and the adhesive weight W (N, the locomotive weight on powered axles). Tractive effort is the force the locomotive applies to pull the train, with two limits: power (engine) and adhesion (wheel-rail friction). At low speed and starting, ADHESION limits — however powerful the engine, if the demanded force exceeds μ·W, the wheels spin, losing traction and wearing wheels and rails. So locomotives concentrate weight on powered axles (adhesive weight) and use anti-slip systems and sand application to boost friction. The steel-on-steel railway contact has very low rolling resistance (the train's great energy advantage) but precisely therefore limited adhesion — the fundamental paradox of rail traction. This defines the maximum train a locomotive can start and pull on a grade. Enter the adhesion coefficient and the adhesive weight.

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Drawbar Pull

Calculate the available drawbar pull of a tractor, F = W × μ, multiplying the weight on the driving wheels W (kN) by the traction coefficient μ of the tire-soil pair. The result, in kN, is the pulling effort the tractor can exert on implements (plow, harrow, planter) — limited by soil grip, not engine power. The traction coefficient depends on soil and tire type (0.5 to 0.7 on firm soil; much less on loose or wet soil). Increasing the adhesive weight (ballast) raises the available force. Enter the adhesive weight and the traction coefficient.

Fuel Consumption per Hectare

Calculate the fuel consumption per hectare of a mechanized operation, consumption = hourly consumption ÷ field capacity, dividing the tractor's hourly consumption (L/h) by the effective field capacity (ha/h). The result, in liters per hectare, is the practical indicator to budget the fuel cost of a farming operation and compare the energy efficiency of machines and settings. Heavy operations (subsoiling) consume far more L/ha than light ones (spraying). Combined with the diesel price and the total area, it gives the season's fuel cost. Enter the hourly consumption and the field capacity.

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Effective Field Capacity

Calculate the effective field capacity of a mechanized farming operation, FC = (v × L × Ef) ÷ 10, from the working speed v (km/h), the effective working width L (m) and the field efficiency Ef (decimal). The result, in hectares per hour, is the area the machine actually works per hour, already discounting time losses with turns, refills and overlaps (efficiency). The factor 10 adjusts the units. It is central to mechanization planning: it sets how many machines and hours are needed to complete an operation (planting, spraying, harvesting) in the available window. Enter the speed, the width and the field efficiency.

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Counterweight Mass

Calculate an elevator's counterweight mass, M_cw = M_car + factor × Q_max, from the car mass, the balancing factor (typically 0.40 to 0.50) and the maximum load Q_max (kg). The result, in kg, is the mass that balances the car plus a fraction of the payload, so the motor works with the smallest average imbalance. A factor of 0.45 (45%) is common: it fully balances the car and 45% of the rated load, minimizing motor work both with a full and an empty car. Enter the car mass, the balancing factor and the maximum load.

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Gross Irrigation Depth

Calculate the gross irrigation depth, D_gross = D_net ÷ Ef, dividing the required net depth (the water that must reach the roots, in mm) by the irrigation system's application efficiency (decimal). The result, in mm, is the depth the system must actually apply so that, after losses (evaporation, drift, percolation, runoff), the net depth remains in the soil. More efficient systems (drip, ~90%) require less gross depth than less efficient ones (conventional sprinkler, ~75%; surface, ~50-60%). It is the basis of irrigation design and management. Enter the net depth and the application efficiency.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.