Chapter 15: Problem 1
Why do your ears "pop" when you drive up a mountain?
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Chapter 15: Problem 1
Why do your ears "pop" when you drive up a mountain?
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Hydraulic brake systems are increasingly common on bicycles, especially those using disc brakes. The Magura MT4 brake system, widely used on mountain bikes, has a small piston and cylinder of diameter \(1.04 \mathrm{~cm}\) connected to the brake actuation lever on the handlebars, and a larger \(2.10-\mathrm{cm}\)-diameter piston/cylinder that pushes the brake pads against the rotating brake disc. (a) What force must be applied to the smaller piston to produce a force of \(3.25 \mathrm{kN}\) on the larger piston? (b) If the smaller piston moves a maximum of \(8.80 \mathrm{~mm}\), what's the corresponding motion of the larger piston? (c) How much work is done on each piston as they undergo the motions of part (b)?
The Michelson-Morley experiment (see Chapter 33) was a very precise optical experiment that helped pave the way for Einstein's theory of relativity. To isolate it from external vibrations, the entire experiment was mounted on a square slab of sandstone \(0.30 \mathrm{~m}\) thick and \(1.5 \mathrm{~m}\) on a side, with a mass of \(1.7\) tonnes ( \(1700 \mathrm{~kg}\) ). The slab, in turn, floated in a trough of liquid mercury (density \(13.69\) tonnes \(/ \mathrm{m}^{3}\) ). What percentage of the slab's volume was below the surface of the mercury?
At a hearing on a proposed wind farm, a wind-energy advocate says an installation of 900 turbines, with blade diameter \(110 \mathrm{~m}\), could displace a 1-GW nuclear power plant. You're asked if that's really possible. How do you answer, given an average wind speed of \(10 \mathrm{~m} / \mathrm{s}\) and a turbine power output that averages \(30 \%\) of the theoretical maximum?
How does the blood flow speed at a stenosis compare with the speed in the surrounding artery? a. lower b. the same c. higher
A \(1.3\)-cm-diameter venturi flowmeter is inserted in a \(2.3-\mathrm{cm}\) diameter pipe carrying water (density \(1000 \mathrm{~kg} / \mathrm{m}^{3}\) ). Find (a) the flow speed in the pipe and (b) the volume flow rate if the pressure difference between venturi and unconstricted pipe is \(15 \mathrm{kPa}\).
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