Question

If the system produces 65,104 watts, what is the energy worth

per day? Assume electricity costs of $0.11 per kWh.

Answer 1

To calculate the daily energy cost of a system producing 65,104 watts, we convert the power to kilowatt-hours and then multiply it by the electricity cost per kWh, resulting in a daily cost of $171.87.

Step-by-step explanation:

To calculate the energy cost of a system that produces 65,104 watts of power, we first need to convert this power to kilowatt-hours (kWh), the unit commonly used for billing electricity. Since one kilowatt (kW) is equal to 1,000 watts, we can convert 65,104 watts to kW by dividing by 1,000, resulting in 65.104 kW. To find out how many kilowatt-hours are used in a day, we multiply the power in kW by the number of hours in a day (24).

Energy in kWh/day = 65.104 kW × 24 hours = 1562.496 kWh.

Next, we calculate the monetary value by multiplying the amount of energy used in a day by the cost of electricity per kWh. Using an electricity cost of $0.11 per kWh:

Monetary value = 1562.496 kWh × $0.11/kWh = $171.87 per day.

Therefore, the energy produced by the system is worth $171.87 per day.

Answer 2

The system produces 1562.496 kWh of energy per day, and at a cost of $0.11 per kWh, the daily cost to generate this energy would be $171.87.

Step-by-step explanation:

To calculate the energy produced in kilowatt-hours (kWh), we first need to determine how many hours are in a day. There are 24 hours in a day, so if the system produces 65,104 watts (which is equivalent to 65.104 kilowatts since 1 kW = 1,000 W), we can calculate the energy by multiplying the power (in kW) by the number of hours in a day.

The energy produced in one day (in kWh) would be:

Energy (kWh) = Power (kW) × Time (hours)

Energy (kWh) = 65.104 kW × 24 hours = 1562.496 kWh

Next, to find out the cost of the electricity generated, we multiply the total kWh by the cost per kWh. Given the electricity cost is $0.11 per kWh, we calculate the cost as follows:

Cost = Energy (kWh) × Cost per kWh

Cost = 1562.496 kWh × $0.11/kWh = $171.87456

Therefore, the cost of the energy produced by the system per day would be $171.87 (rounding to two decimal places).