The energy unit used by electrical utilities in their...

The energy unit used by electrical utilities in their monthly bills is the kilowatt hour $(\mathrm{kWh} ; 1$ kilowatt used for 1 hour). Calculate how many joules there are in a kilowatt hour. If electricity costs $\$ .09$ per kilowatt hour, calculate how much it costs per megajoule.

Key Concepts

Unit Pricing of Energy

Unit pricing of energy refers to the cost assigned per unit of energy, such as per kilowatt hour or per megajoule. Understanding and converting between different cost units is important for comparing rates, budgeting, and analyzing energy efficiency from an economic perspective.

Dimensional Analysis

Dimensional analysis is a method used to verify that the units in a calculation are consistent and to systematically convert from one set of units to another. This technique is essential when converting kilowatt hours to Joules and when relating energy consumption to cost.

Joule (J)

A Joule is the standard SI unit of energy, defined as the work done when a force of one newton is applied over a displacement of one meter. It provides a fundamental measure of energy in physics and engineering.

Kilowatt Hour (kWh)

A kilowatt hour is a unit of energy commonly used by electrical utilities to measure energy consumption. It represents the energy used when a power of one kilowatt is maintained for one hour, providing a practical way to quantify electrical usage over time.

Energy Unit Conversion

Energy unit conversion involves translating measures from one unit to another by applying appropriate conversion factors. In the context of kilowatt hours and Joules, this requires converting time and power units consistently to obtain the equivalent energy in Joules.

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