Example III: A hydraulic jack has the dimensions shown. If one exerts a 5 cm diamete force F of 100 N on the handle of the jack, what load, F2, can the jack support? Neglect lifter weight 3.0 cm 30 cm Lifter 1.5 cm diameter f A2 Check valve
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- A certain hydraulic system is designed to exert a force 405 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.A hydraulic jack piston has a diameter of 0.06 m. The hydraulic jack is connected to another piston that supports the load. The support load piston has a diameter of 0.50 m. If the jack can lift a mass up to 2500 kg, what is the maximum force that one needs to apply to the piston in order to lift the given mass?17-
- A swimming pool has dimensions 36.0 m ✕ 6.0 m and a flat bottom. The pool is filled to a depth of 2.10 m with fresh water. (a) What is the force exerted by the water on the bottom? N down(b) What is the force exerted by the water on each end? (The ends are 6.0 m.) (c) What is the force exerted by the water on each side? (The sides are 36.0 m.)In the hydraulic lift shown in the figure, A1 < A2. How does the pressure (P1) caused by F1 compare with the pressure (P2) caused by F2 in piston 2? Pa Jwrong O P1 = P2 O It depends on the weight of the car.A schematic of a homemade hydraulic jack is shown in the figure below, with cylindrical tube ends of different radii, 1 = 0.0480 m and r2 = 0.300 m, respectively. (a) If a downward force of F1 = 16.0 N is applied to the end with the smaller radius, how much force F2 would the jack exert on a car if it were sitting above the other end? (Enter the magnitude.) ]N (b) If the smaller piston is pushed down a distance d, = 0.176 m, through what distance d, would the other end move? m
- A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activated by the operator, a pump injects hydraulic oil into the cylinder at an absolute pressure of 2.91 x 106 Pa and drives the output plunger, which has a radius of 0.180 m. Assuming the plunger remains perpendicular to the floor of the load bed, find the torque that the plunger creates about the axis identified in the drawing. 3.50 m Output plunger Axis Load bed Input for hydraulic oil2. Find the work done in pumping out all fluid of density 3 kg/m³ in the tank from a small hole at the top of the conical tank shown below. You may assume that the acceleration due to gravity is g = 10 m/s?. 2 m water exits 6 m²