Bearing Power Loss
Calculate the power dissipated by friction in a bearing, P = T × ω, multiplying the friction torque T by the angular velocity ω (rad/s). The result, in watts, is the mechanical energy converted to heat per unit time by friction — a loss that reduces efficiency and heats the lubricant and components. This heat must be dissipated (by convection or oil circulation) to keep a safe operating temperature, since overheating degrades the lubricant and can cause seizure. Estimating the dissipated power is essential to size the cooling and the oil flow. Enter the friction torque and the angular velocity.
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Potência dissipada em mancal
O atrito num mancal não só rouba torque — ele converte continuamente energia mecânica em calor, e esse calor precisa ir para algum lugar. A potência dissipada por atrito é P = T × ω, o torque de atrito T (N·m) multiplicado pela velocidade angular ω (rad/s, igual a 2π vezes a rotação em rev/s). O resultado, em watts, é a taxa com que o mancal gera calor. Essa grandeza tem duas faces. Do ponto de vista da eficiência, é energia perdida: somada a todos os mancais e contatos de uma máquina, reduz o rendimento global. Do ponto de vista térmico, é um problema de gerenciamento de calor: todo esse watt vira aquecimento, que eleva a temperatura do mancal e do lubrificante. E aí mora o perigo — a temperatura tem um efeito brutal sobre o óleo: a viscosidade cai exponencialmente com o aquecimento, o que afina o filme, que aumenta o contato e o atrito, que gera mais calor... um ciclo vicioso que pode levar ao colapso do filme e ao agarramento (seizure). Por isso, calcular a potência dissipada é o primeiro passo para dimensionar a refrigeração: definir se a dissipação natural por convecção da carcaça é suficiente, ou se é preciso circular óleo através de um trocador de calor (em mancais grandes e rápidos, o óleo entra frio e sai quente, carregando o calor para fora). O equilíbrio térmico — calor gerado igual a calor removido — é o que fixa a temperatura de operação estável do mancal. Informe o torque de atrito e a velocidade angular.
Related Tools
Hersey Number
Calculate the Hersey number of a bearing, H = μ·N ÷ P, from the dynamic viscosity μ, the rotational speed N and the specific pressure P. The dimensionless result is the horizontal-axis variable of the Stribeck curve, which maps the lubrication regimes: very low values indicate boundary lubrication (metal-to-metal contact, high friction and wear); intermediate values, mixed lubrication; and high values, full hydrodynamic lubrication (complete film, minimum friction). Tracking the Hersey number helps keep the bearing in the hydrodynamic regime, away from contact. Enter the viscosity, the speed and the pressure.
Brake Power Dissipated
Calculate the power dissipated by a brake under torque, P = T·(2π·n/60), from the braking torque T (N·m) and the rotation n (rpm). Dissipated power is the rate at which the brake converts mechanical energy to heat — the product of braking torque and angular velocity. It differs from total braking ENERGY: energy is the total heat generated (joules), while power is the INTENSITY of that heat generation (watts), and it determines the brake's steady-state temperature. A brake dissipating much energy but slowly (low power) heats little; one dissipating the same energy fast (high power) heats much more. Dissipated power is critical in brakes working CONTINUOUSLY or repetitively: retention brakes on long descents, industrial equipment brakes (hoists, cranes, conveyors holding load), and dynamometers (which measure engine power precisely by dissipating it in a brake). There, the steady-state dissipated power sets the COOLING capacity needed (ventilation, water cooling) to keep temperature stable. Equating dissipated power to cooling capacity gives the equilibrium temperature. Enter the braking torque and the rotation.
Friction Torque
Calculate the friction torque in a shaft or bearing, T = μ·F·r, multiplying the friction coefficient μ by the normal force (load) F and the radius r where friction acts. The result, in N·m, is the moment friction opposes to rotation — the torque the motor must overcome just to turn the assembly, without doing useful work. Reducing friction torque (with lubrication, rolling bearings and good finishes) saves energy and lowers heating. Multiplied by the angular velocity, it gives the power dissipated by friction. Enter the friction coefficient, the force and the radius.
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