Question

Express watt and joule in term of fundamental unit

Answer 1

Answer:

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Explanation:

The SI unit of energy is the joule (J). The joule has base units of kg·m²/s² = N·m. A joule is defined as the work done or energy required to exert a force of one newton for a distance of one metre.

The watt (symbol: W) is a unit of power. In the International System of Units (SI) it is defined as a derived unit of 1 joule per second, and is used to quantify the rate of energy transfer. In SI base units, the watt is described as kg⋅m2⋅s−3.

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Answer 2

Expressing watt and joule in terms of fundamental unit we get:

• The fundamental unit of watt = [ML²T⁻³]
• The fundamental unit of joule = [ML²T⁻²]

In physics there are 7 fundamental units. they are Mass(M), Distance(L), Time(T), Tempareture(k), Electric current (A), Molecule(mole) and Intensity (cd).

Now, watt can be represented as joule/s= Newton x meter / s= mass x accelaration x meter / s = mass x (distance / s²) x distance /s = mass x distance ²/ s³.

So the fundamental unit of watt will be = [ML²T⁻³]

Similarly, joule can be represented as Newton x meter = mass x accelaration x meter = mass x (distance / s²) x distance= mass x distance ²/ s².

So the fundamental unit of joule will be = [ML²T⁻²]