Physics

Physics

Problem

A researcher hypothesizes that the magnitude of the torque τ\tau applied to a wheel can be modeled by τ=A mp gq rs\tau = A\,m^{p}\,g^{q}\,r^{s}, where AA is a dimensionless constant, mm is the wheel’s mass, gg is the magnitude of the gravitational acceleration, and rr is the wheel’s radius. Which set of exponents {p, q, s}\{p,\,q,\,s\} makes the model dimensionally consistent with the SI base units of torque? a) {1, 2, 0}\{1,\,2,\,0\} b) {0, 1, 2}\{0,\,1,\,2\} c) {1, 1, 1}\{1,\,1,\,1\} d) {1, 1, 0}\{1,\,1,\,0\}

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