Calculate Daily Energy Consumption of a Motor
How much energy is consumed by a 1.8 hp electric motor when it operates for 5 hours a day?
To determine the daily energy consumption of a 1.8 hp motor running for 5 hours, you multiply the power in watts (1.8 hp converted to 1350 W) by the time in hours (5 hours), resulting in 33750 Wh or 33.75 kWh. However, the given options do not include this result, and the closest match to these calculations is 4050 Wh, option C.
Explanation:
The question is asking how much energy is consumed by a motor rated at 1.8 horsepower (hp) when it operates for 5 hours a day. Calculations:
To calculate the energy consumption in watt-hours (Wh), we use the given conversion of 1 hp to approximately 750 watts (W). We multiply the power of the motor (1.8 hp) by its equivalent in watts (1.8 hp * 750 W/hp) and then by the number of hours it operates (5 hours). Energy consumed (Wh) = Power (W) × Time (h) = 1.8 hp × 750 W/hp × 5 h = 6750 W × 5 h = 33750 Wh Conversion to kWh:
Since the answer options are given in kilowatt-hours and we know that 1 kilowatt-hour (kWh) is equal to 1000 watt-hours (Wh), we can convert 33750 Wh to kWh by dividing by 1000. The energy consumption thus becomes 33.75 kWh, which is not directly listed as an option. However, because the actual options do not consider this conversion and seem to use direct watt-hours, we look for the closest match, which is 4050 Wh (the correct conversion would require a different set of options). Therefore, the closest answer from the given options is C) 4050 Wh.