## RPM to Voltage Calculator

Enter the values of torque, t_{(Nm)}, rotational speed, w_{(RPM)} and moment of inertia, I_{(kg.m2)} to determine the value of Voltage, V_{(V)}.

__RPM to Voltage Calculator Formula:__

__RPM to Voltage Calculator Formula:__

RPM to Voltage conversion is essential in various engineering fields, particularly in motor control and instrumentation.

It involves converting the rotational speed of a motor (in RPM) to an equivalent voltage.

This conversion helps in monitoring and controlling the motor’s performance.

The formula to convert RPM to voltage is based on the motor’s torque constant (Kt) and back EMF constant (Ke), but here we’ll use a specific formula to relate the voltage (V) to the rotational speed (RPM), torque (τ), and moment of inertia (I).

Voltage, V_{(V)} in volts is calculated by dividing the product of 0.1056, torque, t_{(Nm)} in Newton metres and rotational speed, w_{(RPM)} in revolution per minute by moment of inertia, I_{(kg.m2)} in kilograms square metres.

Voltage, V_{(V)} = 0.1056 * t_{(Nm)} * w_{(RPM)} / I_{(kg.m2)}

V_{(V)} = voltage in volts, V.

t_{(Nm)} = torque in Newton metres, Nm.

w_{(RPM)} = rotational speed in revolution per minute, RPM.

I_{(kg.m2)} = moment of inertia in kilograms metre square, kg.m^{2}.

__RPM to Voltage Calculation:__

__RPM to Voltage Calculation:__

**Calculate the voltage for a motor with a torque of 10 Nm, rotational speed of 3000 RPM, and moment of inertia of 0.1 kg·m**^{2}:

Given: t_{(Nm)} = 10Nm, w_{(RPM)} = 3000RPM, I_{(kg.m2)} = 0.1kg.m^{2}.

Voltage, V_{(V)} = 0.1056 * t_{(Nm)} * w_{(RPM)} / I_{(kg.m2)}

V_{(V)} = 0.1056 * 10 * 3000 / 0.1

V_{(V)} = 3168 / 0.1

V_{(V)} = 31680V.

- Suppose the voltage generated is 2000 volts, the torque is 5 Nm, and the rotational speed is 3000 RPM.

Given: t_{(Nm)} = 5Nm, w_{(RPM)} = 1500RPM, V_{(V)} = 15707.96V.

Voltage, V_{(V)} = 0.1056 * t_{(Nm)} * w_{(RPM)} / I_{(kg.m2)}

I_{(kg.m2)} = 0.1056 * t_{(Nm)} * w_{(RPM)} / V_{(V)}

I_{(kg.m2)} = 0.1056 * 5 * 1500 / 15707.96

I_{(kg.m2)} = 0.05kg.m^{2}.

__Applications and Considerations:__

__Applications and Considerations:__

**Motor Control:**Accurate voltage calculations are critical for controlling the speed and torque of electric motors.**Instrumentation:**Converting RPM to voltage is essential for monitoring motor performance in various industrial applications.**Robotics:**Precise control of motor speed and position requires accurate RPM to voltage conversion.