establisHey relationship between si unit and commercial unit of energy

The relationship between SI (International System of Units) unit and the commercial unit of energy can be understood by considering the units of energy in both systems.

In the SI system, the unit of energy is the joule (J). The joule is defined as the amount of energy transferred when a force of one newton acts over a distance of one meter. It is a fundamental unit in the SI system, which is widely used in scientific and technical fields.

On the other hand, commercial units of energy vary in different regions and industries. A commonly used commercial unit of energy is the kilowatt-hour (kWh). It is commonly used to measure electricity consumption in homes and businesses.

To establish the relationship between the SI unit (joule) and the commercial unit (kWh), we need to understand the conversion factor between them.

1 kilowatt-hour (kWh) is equal to 3.6 million joules (3.6 x 10^6 J). This conversion factor can be derived by considering the relationship between power (measured in watts) and energy.

Power is the rate at which energy is consumed or transferred. 1 watt (W) is equal to 1 joule per second (J/s). Therefore, in one hour (3600 seconds), a power of 1 kilowatt (1000 W) consumes 1 kilowatt-hour of energy, which is equivalent to 3.6 million joules.

So, the relationship between the SI unit (joule) and the commercial unit (kWh) of energy is that 1 kWh is equal to 3.6 million joules or 1 joule is equal to 2.778 x 10^-7 kWh.

It is important to note that the commercial unit of energy can vary in different countries or industries, so it's always best to check the specific conversion factor or unit used in your region.