Která z možností obsahuje pouze správně zapsané rozměry fyzikálních jednotek?
Správná odpověď je: A, B
Rozměr fyzikálních jednotek lze určit ze vzorce pro příslušné veličiny. Pro sílu platí vzorec , tedy: [F] = kg · m · s−2 = N (newton). Jeden ze vzorců pro práci, jejíž jednotkou je joule, má tvar a platí:
[W] = N · m (newton metr) = kg · m · s−2 · m = kg · m2 · s−2 = J (joule).
Pro tlak platí mj. vzorec , tedy:
[p] = N/m2 = N · m−2 = kg · m · s−2 · m−2 = kg · m−1 · s−2 = Pa (pascal).
Vzorec pro výkon má tvar , rozměr wattu je tedy:
[P] = J/s = J · s−1 = kg · m2 · s−2 · s−1 = kg · m2 · s−3 = W (watt).
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