Question

A servo motor in CNC machine rotates at 500 rpm when powered with 230 volts and the motor is connected to a lead screw of pitch 6 mm. To obtain the velocity of the axis of 1.5 m/min, The voltage input to the motor is

• A. 38.33 V
• B. 115 V
• C. 230 V
• D. 57.5 V

Answer 1

The correct option is B 115 V

$Power=VI=f_c\times V_c$

$\Rightarrow$ voltage $\propto$ Cutting velocity

$\frac{230}{V_2}=\frac{6\times 500}{1500}$

$\Rightarrow (voltage{)}_2=115volts$