Answer :
The peak current flowing through a high-powered lathe machine connected to a 440-V AC line and operating at 3,600 W is approximately 11.57 A.
To determine the peak current flowing through a high-powered lathe machine connected to a 440-V AC line that operates at 3,600 W, we use the relationship between power (P), voltage (V), and current (I), which is given by P = VI. Considering AC power, this equation involves the root mean square (rms) values of voltage and current. In order to find the peak current, we first calculate the rms current using the formula I_rms = P/V_rms, and then convert rms current to peak current using the relationship I_peak = sqrt(2) times I_rms.
Firstly, calculate the rms current: I_rms = P / V_rms I_rms = 3600 W / 440 V = 8.18 A (approximately)
Now, convert rms current to peak current: I_peak = sqrt(2) times 8.18 A I_peak = 1.414 times 8.18 A = 11.57 A (approximately)
Therefore, the peak current flowing through the lathe machine is about 11.57 A.
