1001Ferramentas
Calculators

Motor Power (Torque × RPM)

Compute a motor's mechanical power from torque and rotation, P = τ·ω = τ·2π·n/60, where τ is the torque (N·m), n the rotation (rpm) and P the power (W). It is the fundamental relation linking the three quantities of a rotating motor: the same motor delivers high torque at low speed or high speed at low torque, but the power is the product of the two. The basis of drive sizing. Enter the torque and the rotation.

Resultado

Potência de motor (torque × RPM)

Torque, rotação e potência são as três grandezas que definem um motor — e estão ligadas por P = τ·ω = τ·2π·n/60. O torque (N·m) é a força de giro; a rotação (rpm) é a velocidade; a potência (W) é o que realmente realiza trabalho por unidade de tempo. A relação revela um princípio fundamental: um mesmo nível de potência pode ser entregue como muito torque em baixa rotação (um guincho) ou muita rotação com pouco torque (uma furadeira) — e é exatamente isso que uma caixa de redução faz, trocando rotação por torque sem mudar a potência (idealmente). Por isso dimensionar um acionamento exige conhecer as três: escolher o motor pela potência e a redução pelo torque na rotação de trabalho. Informe o torque e a rotação.

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Elevator Motor Power

Calculate the motor power of an elevator, P = m·g·v ÷ η, from the payload m (kg), gravity g (9.81 m/s²), nominal speed v (m/s) and the system efficiency η (motor, gearbox, sheaves). The result, in watts, is the mechanical power needed to hoist the load at nominal speed. In practice, the counterweight (balancing the car plus ~45% of the load) reduces the effective power, and regenerative braking on descent can return some to the system. It is the base calculation for sizing the traction machine. Enter the load, the speed and the efficiency.

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Servo Torque for Arm

Calculate the static torque a servomotor needs to hold a horizontal arm, T = m·g·L, from the tip mass m, gravity g (9.81 m/s²) and the arm length L. The result, in N·m, is the minimum torque the servo must provide to keep the arm horizontal against the load weight — the most unfavorable position. It is essential in designing robotic arms, grippers and servo-driven mechanisms, sizing the motor with a safety margin over this value. For arms with their own mass, the center of mass is used. Enter the mass and the arm length.

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Motor Torque from Current

Calculate the torque produced by a DC motor, T = K_t·I, from the torque constant K_t (N·m/A) and the armature current I. The result, in N·m, shows a DC motor's torque is directly proportional to current — which is why measuring current is the simplest way to estimate (and limit) torque and detect overloads. The torque constant K_t is a motor characteristic (numerically equal to the back-EMF constant K_e in SI units). It is the basis of torque control in servomotors and robotics. Enter the torque constant and the current.

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DC Motor No-Load Speed

Calculate the no-load speed of a DC motor, ω = V ÷ K_e, from the applied voltage V and the back-EMF constant K_e (V·s/rad). The result, in rad/s, is the speed the motor reaches with no load, when the generated back-EMF nearly equals the applied voltage and the current drops to a minimum. It is the upper speed limit of the motor for a given voltage, the basis of the torque-speed curve (running from stall torque at zero speed to no-load speed at zero torque). It lets you estimate the operating range of servos and DC motors. Enter the voltage and the constant K_e.

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.

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Stepper Motor Speed

Calculate the rotation speed of a stepper motor, RPM = (pps × 60 × step angle) ÷ 360, from the pulse frequency pps (steps per second) and the motor's step angle (degrees per step). The result, in revolutions per minute, relates the command frequency sent to the driver with the actual shaft speed. Stepper motors lose torque at high speeds, so there is a practical maximum rotation. It is essential for programming axis speeds in 3D printers, CNC and automation. Enter the pulse frequency and the step angle.

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.