The average television is said to be on 6 hours per day....

Name: Problem 56, Chapter 20: College Physics for AP® Courses
Uploaded: 2019-08-18T11:27:55-08:00
Duration: 1 min 28 s
Channel: Ze-Han Lee
Description: The average television is said to be on 6 hours per day. Estimate the yearly cost of electricity to operate 100 million TVs, assuming their power consumption averages 150 W and the cost of electricity averages 12.0 cents/kW ? h .

The average television is said to be on 6 hours per day. Estimate the yearly cost of electricity to operate 100 million TVs, assuming their power consumption averages 150 W and the cost of electricity averages 12.0 cents/kW ? h .

Key Concepts

Scaling and Aggregation

Scaling involves extending individual calculations to larger quantities, such as multiple devices. Aggregating energy costs across a large number of units requires multiplying the per-unit energy consumption and cost by the total number of devices, ensuring accurate estimation for a broad application.

Cost Estimation

Cost estimation involves multiplying the total energy consumption (in kWh) by the price per kWh. This process provides the monetary cost associated with energy usage, making it important for budgeting and financial planning related to electricity consumption.

Power and Energy Units

Power, measured in watts (W) or kilowatts (kW), describes the rate at which energy is consumed or produced. Understanding the conversion between watts and kilowatts is essential when calculating energy use over given time intervals.

Energy Consumption Calculation

Energy consumption is determined by multiplying the power (in kW) by the duration of use (in hours). The resulting unit is kilowatt-hours (kWh), which quantifies the total energy used and is the basis for electricity billing.

Conversion Factors

Conversion factors are necessary to ensure consistency in units during calculations. This includes converting watts to kilowatts (by dividing by 1000) and appropriately converting operating time (such as hours per day to hours per year) for accurate energy computation.

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