1. The temperature rise of an electric motor is \( 50^{\circ} \mathrm{C} \) after one hour and \( 60^{\circ} \mathrm{C} \) after two hours. The motor current is 70 A. Determine the approximately its final temperature rise when it works on load cycle of 6 minutes working, 10 minutes rest with a current of 80 A. Neglect the effects on an iron losses.
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When working under a load cycle of 6 minutes on and 10 minutes off, we have to take into account the average current and the operational time. The motor experiences a linear temperature rise, so we can apply this pattern to the new load conditions. With a current of 80 A during the 6 minutes of operation, the increase in temperature can be estimated by calculating the change in temperature rise proportionate to the current increase from 70 A to 80 A. Using the first hour's temperature rise as a reference, the temperature increase per ampere can be extrapolated. The final temperature rise would be approximately \( 50^{\circ} \mathrm{C} \cdot \left( \frac{80}{70} \right) = 57.14^{\circ} \mathrm{C} \) for the working phase. With a total of time included, considering the cooldown during the 10 minutes rest, you can find the effective rise when weighted against the entire cycle. Keep in mind, that the heat dissipates faster during rest periods, further trimming any rise. Overall, we can conclude that after several cycles, the temperature rise peaks to close to \( 58^{\circ} \mathrm{C} \). This demonstrates the motor's ability to regulate heat over time while factoring in active and rest periods.
