Question

What is the dimension of power?

Answer 1

Answer on Question 59231, Physics, Mechanics, Relativity

Question:

What is the dimension of power?

a) $ML^{-2}T^{2}$

b) $ML^2 T^{-2}$

c) $MLT^{-2}$

d) $ML^2 T^{-3}$

Solution:

By the definition of the power we have:

$$P = \frac {W}{t} = \frac {F \cdot s}{t} = m \cdot a \cdot \frac {s}{t} = [ M ] \cdot \left[ \frac {L}{T ^ {2}} \right] \cdot \left[ \frac {L}{T} \right] = [ M ] \cdot [ L ^ {2} ] \cdot [ T ^ {- 3} ].$$

Thus, the correct answer is d) $ML^2 T^{-3}$.

Answer:

d) $ML^2 T^{-3}$

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