This is the pressure figure to be used in the final force calculation. The resultant (differential) pressure is 150 PSI (1000 PSI – 850 PSI). In this scenario, there are two pressures fighting against each other: the 850 PSI pressure is pressing downward on the piston while the 1000 PSI pressure is pressing upward. How much force will act on the piston, with these pressures applied to it? The piston itself is 2.75 inches in diameter. Hydraulic Cylinder Question 3Ī free-floating piston inside a hydraulic cylinder has a 1000 PSI of fluid pressure applied to one side of the piston, and 850 PSI of pressure applied to the other side of the piston. A pulling force will expand it to a larger diameter. What will happen to the ball when a pushing force is exerted on the cylinder’s rod? What will happen to the ball when a pulling force is exerted on the rod? Answer:Ī pushing force on the rod will compress the rubber ball to a smaller diameter. Suppose a small rubber ball is floating inside the fluid of a hydraulic cylinder as shown below. The fluid pressure will exert an outward force on the cylinder walls, like this: If force is exerted on the piston of this hydraulic cylinder, in what direction(s) will this force be transmitted to the cylinder walls? In other words, how does a fluid under pressure push against its surrounding container? Demonstrate how to estimate numerical answers for this problem without using a calculator. How can it do so without violating the Law of Energy Conservation (energy out cannot exceed energy in)?Ħ. This mechanism seems to multiply the applied force. Would it matter whether the fluid in this system was a liquid or a gas? Explain in detail how the system’s behavior would differ (or not differ) depending on the type of fluid used.ĥ. Does the pressure/force/area equation hold true for all piston positions, or only with the pistons in mid-stroke as shown in the illustration?Ĥ. Identify a practical application for a hydraulic system such as this.ģ. In other words, be prepared to explain the reason(s) “why” for every step of your solution, rather than merely describing those steps.Ģ. Identify which fundamental principles of science, technology, and/or math apply to each step of your solution to this problem. The 5 inch dimension is extraneous information, included for the purpose of challenging students to identify whether or not information is relevant to solving a particular problem. Thus, pressure generated by the 25 lb of force on the small piston creates a pressure (2.5 PSI) distributed throughout the fluid’s volume which is experienced in full at the large piston to create the 100 lb force there. Pascal’s principle states that any pressure applied to a contained fluid will be experienced at all points throughout that fluid. Answer:įorce at large piston = 100 pounds. Hydraulic System Fluid Pressureįinally, explain how Pascal’s Principle relates to this scenario. How much force will be generated at the large piston (area = 40 in 2 )?Īlso, calculate the fluid’s pressure. In this hydraulic system, a force of 25 pounds is applied to the small piston (area = 10 in 2 ).
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