A hand-driven tire pump has a piston with a diameter d and a maximum stroke of 30.0 cm. You Find the diameter d of the piston in the above question, If the work done in one stroke is 30.0 J and if the average gauge pressure is 2.40 x 105 N/m2 (a) Find the diameter d of the piston (b) What average force do you exert on the piston, neglecting friction and gravitational force?

The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed, as shown in Figure P9.83. If the fluid rises to a height of 160. mm, we write its gauge pressure as 160. mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may…

A popular pool toy allows the user to push a plunger to compress water in a barrel with a diameter of 3.5 cm. The water is compressed with a speed of 1.9 m/s and emerges from a small opening with a speed of 12 m/s. What is the diameter (in mm) of the opening? Assume the toy is oriented horizontally. mm

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In an industrial cooling process, water is circulated through a system. If water is pumped with a speed of 5.20 m/s under a pressure of 5.00*10^5  Pa from the first floor through a 3.80-cm diameter pipe, what will be the pressure on the next floor 3.50 m above in a pipe with a diameter of 3.00 cm?

While taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 2.00 mm. You also determine that it takes 2.00 s for the shower to completely fi a 1.00-liter container you hold in the water stream. The water for the shower is pumped by a pump that is 5.60 m below the level of the shower head. The pump maintains an absolute pressure of 1.50 atm. Use g = 10 m/s?, and assume that 1 atmosphere is 1.0 x 105 Pa. (a) At what speed does the water emerge from the shower head? 1.105 m/s (b) What is the speed of the water in the pipe connected to the pump? m/s (c) What is the cross-sectional area of the pipe connected to the pump? m2

A hand-driven tire pump has a piston with a 2.1 cm diameter and a maximum stroke of 24 cm. (a)  How much work do you do in one stroke if the average gauge pressure is 2.1 × 105 N/m2?  (b)  What average force do you exert on the piston, neglecting friction and gravitational force?