If your cooker uses 120 volts and the current is 11 amperes, the total power
it uses is 1320 watts, or 1320 joules every second. If it is divided equally among
the 3 wieners, each wiener receives 440 watts, or 440 joules of energy every
second. If a wiener needs 58,000 joules to cook completely, the time needed
is 58,000 joules divided by 440 J per second, or 131.8 seconds - 2 minutes and
11.8 seconds. In actual practice, it doesn't take much longer than this, although
the resistance of the wieners starts out relatively high, about 200 ohms each
and gradually decreases to about 100 ohms per wiener as the hot dogs cook.
But for your example here, the time required is 131.8 seconds.
