University Physics Volume 1 — Mechanics · Problem 54

Units and Measurement — OpenStax

Physics — University · dimensional-analysis

Problem

Suppose [V]=L3[V] = L^3, [ρ]=ML−3[\rho] = ML^{-3}, and [t]=T[t] = T. (a) What is the dimension of ∫ρ dV\int \rho\,dV? (b) What is the dimension of dV/dtdV/dt? (c) What is the dimension of ρ(dV/dt)\rho(dV/dt)?

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