If length, force and time are taken as fundamental quantities, what would be the dimensional equations of (i) mass (ii) density?

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If length, force and time are taken as fundamental quantities, what would be the dimensional equations of (i) mass (ii) density?

PRADEEP KUMAR 17th Jan, 2022

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Answer (1)

PRADEEP KUMAR 17th Jan, 2022

Assume L, F and T denote the dimensions of the proposed fundamental quantities length, force and time, respectively.

Force = mass ×acceleration

∴ Mass= force/acceleration= F/LT^-2= L^-1FT²

Density= massVolume= L^-1FT²/L³=L^-4FT²

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