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Chapter 1: Problem 33
The density of a certain type of jet fuel is $775 \mathrm{kg} / \mathrm{m}^{3}$. Determine its specific gravity and specific weight.
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A method used to determine the surface tension of a liquid is to determine the force necessary to raise a wire ring through the air-liquid interface. What is the value of the surface tension if a force of \(0.015 \mathrm{N}\) is required to raise a 4 -cm-diameter ring? Consider the ring weightless, as a tensiometer (used to measure the surface tension) "zeroes" out the ring weight.
A commercial advertisement shows a pearl falling in a bottle of shampoo. If the diameter \(D\) of the pearl is quite small and the shampoo sufficiently viscous, the drag 9 on the pearl is given by Stokes's law, \\[ \mathscr{P}=3 \pi \mu V D \\] where \(V\) is the speed of the pearl and \(\mu\) is the fluid viscosity. Show tha: the term on the right side of Stokes's law has units of force.
A rigid-walled cubical container is completely filled with water at \(40^{\circ} \mathrm{F}\) and sealed. The water is then heated to \(100^{\circ} \mathrm{F}\) Determine the pressure that develops in the container when the water reaches this higher temperature. Assume that the volume of the container remains constant and the value of the bulk modulus of the water remains constant and equal to 300,000 psi.
1.109 Air enters the converging nozzle shown in Fig. P1.72 at \(T_{1}=70^{\circ} \mathrm{F}\) ard \(V_{1}=50 \mathrm{ft} / \mathrm{s} .\) At the exit of the nozzle, \(V_{2}\) is given by \\[ V_{2}=\sqrt{V_{1}^{2}+2 c_{p}\left(T_{1}-T_{2}\right)} \\] where \(c_{p}=187 \mathrm{ft} \cdot \mathrm{lb} / \mathrm{lbm} \cdot^{\circ} \mathrm{F}\) and \(T_{2}\) is the air temperature at the exit of the nozzle, Find the temperature \(T_{2}\) for which \(V_{2}=\) \\[ 1000 \mathrm{ftfs} \\]
A piston having a diameter of 5.48 in. and a length of 9.50 in. slides downward with a velocity \(V\) through a vertical pipe. The downward motion is resisted by an oil film between the piston and the pipe wall. The film thickness is 0.002 in., and the cylinder weighs 0.5 lb. Estimate \(V\) if the oil viscosity is \(0.016 \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\) Assume the velocity distribution in the gap is linear.
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