kV to Torque Calculator:
Enter the values of product of motor kV rating, kV(RPM/V), current, I(A) and rotational speed, RPM to determine the value of kV to torque, TkV(N.m).
kV to Torque Formula:
The kV to torque formula provides a way to calculate the torque generated by an electric motor based on its KV rating (RPM per Volt), the current it draws, and its rotational speed.
The kV to torque, TkV(N.m) in Newton metres is calculated by dividing the product of motor kV rating, kV(RPM/V) in RPM per Volt, which is a constant, current, I(A) in Amperes and 1000 by the product of 2pi and rotational speed, RPM in revolution per minute.
The kV to torque, TkV(N.m) = (kV(RPM/V) * I(A) * 1000) / ( 2 * pi * RPM)
TkV(N.m) = kV to torque in Newton metres, N.m.
kV(RPM/V) = motor kV rating in RPM per Volt,
I(A) = current in Amperes, I(A).
RPM = rotational speed in revolution per minute.
kV to Torque Calculation:
1. Consider an electric motor with a KV rating of 200 RPM/V, drawing a current of 10 Amperes, and operating at 4000 RPM. Calculate the torque output of the motor.
Given: kV(RPM/V) = 200RPM/V, I(A) = 10A, RPM = 4000
The kV to torque, TkV(N.m) = (kV(RPM/V) * I(A) * 1000) / ( 2 * pi * RPM)
TkV(N.m) = ( 200 * 10 * 1000) / (2 * 3.14 * 4000)
TkV(N.m) = 0.0796N.m.
2. The motor’s torque output is 0.0955N.m and is drawing 20 Amperes of current while spinning at 5000 RPM. Determine the kV rating of an electric motor.
Given: TkV(N.m) = 0.0955N.m., I(A) = 20A, RPM = 5000
The kV to torque, TkV(N.m) = (kV(RPM/V) * I(A) * 1000) / ( 2 * pi * RPM)
kV(RPM/V) = (TkV(N.m) * 2 * pi * RPM) / I(A) * 1000
kV(RPM/V) =( 0.0955 * 2 * 3.14 * 5000) / (20 * 1000)
kV(RPM/V) = 150RPM/V.