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Answer :
The energy consumption of a 3000 W electric clothes dryer over 32 minutes is 1.6 kWh. This is calculated by converting the time to hours, the power to kilowatts, and then multiplying them together. The dryer thus uses 1.6 kilowatt-hours of energy over this period.
Calculating Energy Consumption of an Electric Clothes Dryer
To determine the energy usage of an electric clothes dryer rated at 3000 watts (W) over a period of 32 minutes, we need to perform a series of calculations.
First, convert the time from minutes to hours. Since there are 60 minutes in an hour, we have:
32 minutes ÷ 60 = 0.5333 hours
Next, use the power rating of the dryer (3000 W) and the time in hours (0.5333 hours) to calculate the energy consumption in kilowatt-hours (kWh). Recall that 1 kilowatt (kW) equals 1000 watts (W), so:
3000 W ÷ 1000 = 3 kW
Finally, multiply the power in kilowatts by the time in hours:
Energy = Power × Time
Energy = 3 kW × 0.5333 hours = 1.6 kWh
The electric clothes dryer uses 1.6 kWh of energy in 32 minutes.
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Final answer:
The energy used by an electric clothes dryer rated at 3000 W in 32 minutes is 1.6 kWh.
Explanation:
A student has asked how much energy an electric clothes dryer rated at 3000 W uses in 32 minutes. To calculate the energy consumption in kilowatt-hours (kWh), the power rating of the clothes dryer and the duration of use must be converted into compatible units. One watt is equivalent to one joule per second, and one kilowatt-hour is equivalent to 3.6 million joules.
First, convert the usage time from minutes to hours:
- 32 minutes ÷ 60 minutes/hour = 0.5333 hours
Then, calculate the energy consumed using the power rating in kilowatts:
- Power = 3000 W = 3 kW (since 1 kW = 1000 W)
- Energy (kWh) = Power (kW) × Time (hours) = 3 kW × 0.5333 hours = 1.6 kWh
So, the energy used by the clothes dryer in 32 minutes is 1.6 kWh.
