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What is the unit of power expressed in fundamental SI units?

Question

What is the unit of power expressed in fundamental SI units?

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Solution

The unit of power in the International System of Units (SI) is the Watt. However, when expressed in terms of fundamental SI units, power (P) is given by the formula P = work/time.

Work (W) is expressed in terms of force (F) times distance (d), which in SI units is Newtons (N) times meters (m), or N*m.

Time (t) is expressed in seconds (s).

Therefore, the unit of power in fundamental SI units is N*m/s.

However, each of these units can be broken down further into fundamental SI units:

  1. A Newton (N) is a unit of force, which is mass (m) times acceleration (a). In SI units, this is kilograms (kg) times meters per second squared (m/s^2). So, N = kg*m/s^2.

  2. A meter (m) is the SI unit of distance, and a second (s) is the SI unit of time.

Therefore, when fully broken down into fundamental SI units, the unit of power is kg*m^2/s^3.

This problem has been solved

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