Electric Motor Torque Calculator:
Enter the values of current, I(A), voltage, V(V), efficiency, E(%) and revolutions per minute, rpm to determine the value of Torque, T(N.m).
Electric Motor Torque Formula:
An electric motor is a machine that converts electrical energy into mechanical energy, typically in the form of rotational motion. The torque produced by an electric motor determines its ability to rotate a load and is a crucial parameter in various applications, including industrial machinery, electric vehicles, and home appliances.
Torque is the rotational force exerted by the motor’s shaft, which depends on the power supplied to the motor and its rotational speed. The power input is derived from the electrical supply, consisting of voltage (V) and current (I), which interact with the motor’s efficiency (E) to generate output torque.
The efficiency (E) of a motor represents the proportion of electrical energy converted into mechanical energy. Some energy is lost due to factors such as resistance, friction, and heat dissipation. A highly efficient motor maximizes torque output for a given power input.
The torque of an electric motor is inversely proportional to its speed (rpm). As the speed increases, the available torque decreases for a constant power input. The relationship between torque, power, and speed is fundamental in motor design and application.
Torque, T(N.m) in Newton-meters equals the product of current, I(A) in amperes, voltage, V(V) in volts, and efficiency, E(%) divided by 100 and 60, all divided by the product of revolutions per minute, rpm and 2π.
Torque, T(N.m) = (I(A) * V(V) * E(%) / 100 * 60) / rpm * 2 * 3.14
T(N.m) = torque in Newton metres, N.m.
I(A) = current in amperes, A.
V(V) = voltage in volts, V.
E(%) = efficiency in percentage.
rpm = revolutions per minute.
Electric Motor Torque Calculation:
- An electric motor operates at 230V with a current of 10A, an efficiency of 85%, and a speed of 1500 rpm. Calculate the torque of the motor.
Given: I(A) = 10A, V(V) = 230V, E(%) = 85%, rpm = 1500rpm.
Torque, T(N.m) = (I(A) * V(V) * E(%) / 100 * 60) / rpm * 2 * 3.14
T(N.m) = (10 * 230 * 0.85 / 100 * 60) / 1500 * 2 * 3.14
T(N.m) = 117300 / 9424.8
T(N.m) = 12.45Nm.
- An electric motor with a voltage of 400V, an efficiency of 90%, and a speed of 1800 rpm produces a torque of 25 Nm. Find the current.
Given: T(N.m) = 25Nm, V(V) = 400V, E(%) = 90%, rpm = 1800rpm.
Torque, T(N.m) = (I(A) * V(V) * E(%) / 100 * 60) / rpm * 2 * 3.14
I(A) = T(N.m) * rpm * 2 * 3.14 / V(V) * E(%) / 100 * 60
I(A) = 25 * 1800 * 2 * 3.14 / 400 * 0.90 / 100 * 60
I(A) = 282744 / 21600
I(A) = 13.09A.