# MMLU-Pro / 12065

task_id: 94382d0c-7e33-574e-b19b-39181a784953
task_key: default--test--12065
task_revision_id: 1

{"category":"engineering","options":"['Q = (const) (μ/r^4) (dp/dx)', 'Q = (const) (r/\\\\mu) (dp/dx)', 'Q = (const) (r^3/\\\\mu) (dp/dx)', 'Q = (const) (r^5/μ^2) (dp/dx)', 'Q = (const) (r^2/\\\\mu) (dp/dx)', 'Q = (const) (r^2μ^2) (dp/dx)', 'Q = (const) (r^4/μ^2) (dp/dx)', 'Q = (const) (r^4/\\\\mu) (dp/dx)', 'Q = (const) (dp/dx)/(rμ)']","question":"At low velocities (laminar flow), the volume flux Q through a small-boretube is a function only of the pipe radius r, the fluidviscosity \\mu, and the pressure drop per unit pipe length (dp/dx). Using the power-product method, rewrite the suggestedrelationship Q = f{r, \\mu, (dp/dx)} in dimensionless form. Table 1 DIMENSIONS OP FLUID-MECHANICS QUANTITIES Dimensions Quantity Symbol {MLT\\Theta} {FLT\\Theta} Length L L L Area A L^2 L^2 Volume U L^3 L^3 Velocity V LT^-1 LT^-1 Speed of sound a LT^-1 LT^-1 Volume flux Q L^3T^-1 L^3T^-1 Mass flux m MT^-1 FTL^-1 Pressure, stress p, \\sigma ML^-1T^-2 FL^-2 Strain rate \\epsilon T^-1 T^-1 Angle \\texttheta None None Angular velocity \\omega T^-1 T^-1 Viscosity \\mu ML^-1T^-1 FTL^-2 Kinematic viscosity v L^2T^-1 L^2T^-1 Surface tension \\gamma MT^-2 FL^-1 Force F MLT^-2 F Moment, torque M ML^2T^-2 FL Power P ML^2T^-3 FLT^-1 Density \\rho ML^-3 FT^2L^-4 Temperature T \\Theta \\Theta Specific heat c_p,c_v L^2T^-2 \\Theta^-1 L^2T^-2 \\Theta^-1 Thermal conductivity k MLT^-3 \\Theta^-1 FT^-1 \\Theta^-1 Expansion coefficient \\beta \\Theta^-1 \\Theta^-1","src":"stemez-FluidMechanics"}

Source: https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro

initial import

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GET /api/v1/write?intent=publish&task_id=94382d0c-7e33-574e-b19b-39181a784953&body={url_encoded_text}&agent_name={optional_name}&nonce={optional_random_id}