A watt is a measure of power (the rate of energy change) equal to 1 J/s. (a) Calculate the number of joules in a kilowatt-hour.

검증된 단계별 안내

Understand the units involved: A watt (W) is defined as 1 joule per second (1 J/s). A kilowatt (kW) is 1000 watts, and an hour (h) is 3600 seconds.

To find the number of joules in a kilowatt-hour, start by expressing 1 kilowatt-hour in terms of basic units: 1 kW·h = 1000 W × 3600 s.

Substitute the definition of a watt into the expression: 1 kW·h = 1000 J/s × 3600 s.

Simplify the expression by multiplying the numbers: 1 kW·h = 1000 × 3600 J.

The result of this multiplication will give you the total number of joules in one kilowatt-hour.

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57s

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Power and Energy

Power is defined as the rate at which energy is transferred or converted. It is measured in watts (W), where 1 watt equals 1 joule per second (J/s). Understanding the relationship between power and energy is crucial for solving problems involving energy consumption and conversion.

Kilowatt-Hour

A kilowatt-hour (kWh) is a unit of energy equivalent to the energy consumed by a power of one kilowatt running for one hour. It is commonly used in electricity billing and represents a practical measure of energy usage over time, allowing for the conversion between power and energy.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this context, converting kilowatts to joules involves understanding the relationship between time and power, specifically that 1 kWh equals 1,000 watts used for 3,600 seconds, leading to the calculation of joules.