If force, length, and time are selected as the three fundamental dimensions, what are the dimensions on mass?
A pressure of 28 kPa is measured at an elevation of 2000 m. What is the absolute pressure in mm of Hg?
Water at 20°C flows in a 0.8-cm-diameter pipe with a velocity distribution of u(r ) = 5[1 − (r 2 /16) × 106 ] m/s. Calculate the shear stress on the pipe wall.
SAE-30 oil at 30oC fills the gap between a 40-cm-diameter flat disk rotating 0.16 cm above a flat surface. Estimate the torque needed to rotate the disk at 600 rpm.
Water at 30°C is able to climb up a clean glass 0.2-mm-diameter tube due to surface tension. The water/glass angle is 0° with the vertical. How far up the tube does the water climb?
Derive an equation that relates the vertical force F needed to just lift a thin wire loop from a liquid assuming a vertical surface tension force. The wire radius is r and the loop diameter is D. Assume D >> r.
A 2-m-long, 4 cm-diameter shaft rotates inside an equally long 4.02-cm-diameter cylinder. If SAE-10W oil at 25°C fills the gap between the concentric cylinders, estimate the horsepower needed to rotate the shaft at 1200 rpm assuming a linear velocity profile.
The coefficient of thermal expansion aT allows the expansion of a liquid to be determined using the equation Δ V = αT V ΔT . What pressure is needed to cause the same decrease in volume of 2 m3 of 40°C water as that caused by a 10°C drop in temperature?
Calculate the weight of the column of air contained above a 1-m2 area of atmospheric air from sea level to the top of the atmosphere.
Air expands from a tank maintained at 18°C and 250 kPa to the atmosphere. Estimate its minimum temperature as it exits.
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