2. The large piston in a hydraulic lift has a radius of 250 cm2 . What force (kgf) must be applied to the small piston with a radius of 25 cm2 in order to raise a car of mass 1500 kg?
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- The tongs shown are designed for lifting blocks of ice. If the weight of the ice block is W, find the horizontal force between the tongs and the ice block at C and D. Neglect the weights of the tongs.The small piston of a hydraulic lift has a cross-sectional area of 3.00cm^2,and its large piston has a cross-sectional area of 200cm^2.What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg= 15.0kN?. The small piston of a hydraulic lift (g. 1) has a cross-sectional area of 3.00cm2, and its large piston has a cross-sectional area of 200cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0kN?
- A boat having a mass of 80 Mg rests on the bottom of the lake and displaces 11.75 m^3 of water. Since the lifting capacity of the crane is only F = 550 kN, two balloons are attached to the sides of the boat and filled with air. The volume of a sphere is V =4/3πr^3. ρw = 1000 kg/m^3.Determine the smallest radius r of each spherical balloon that is needed to lift the boat. Neglect the mass of air and of the balloon for the calculation required for the lift and What is the mass of air in each balloon if the air and water temperature is 12∘C? The balloons are at an average depth of 20 mm. The gas constant for air is R= 286.9 J/(kg⋅K)The input piston and output plunger of a hydraulic car lift at the same level, as shown in the drawing. The cross-sectional area of the input piston is 12cm^2, while that of the output plunger is 1200cm^2. The force F1 is applied to the input piston had a magnitude of 150 N. What is the weight W of the car? Neglect the weight of the piston and plunger.A hydraulic lift is used to raise a 900 – kg car. If the diameters of the small and large pistons are 8 cm and 0.8 m, determine the force that is exerted on the small piston.
- A crane is used to lower weights into the sea (density = 1,025 kg/m3) for an underwater construction project. Determine the tension in the rope of the crane due to a rectangular 0.4m x 0.4m x 3m concrete block (density = 2,300 kg/m3) when it is completely immersed in water.1. The piston hydraulic system can lift very heavy objects with a force significantly lower than that of direct lifting. Imagine a system in which the cross-sectional area of the piston is rectangular rather than a typical circle. The cross-sectional area of the small piston is 20 cm × 40 cm, while the cross-sectional area of the large piston is 2.5 meters × 6 meters. (a) How much force would need to be applied to the smaller piston to lift a 1300-kg car? (Ignore any height differences in the fluid) (b) Use proportional reasoning, order of magnitude, and/or related quantities sense-making techniques to determine if your answer to (a) is reasonable?For the tank of water shown below, the radius of the circular surface is R=1.0 m, h=1.0m, and the length of the tank is w=2.0 m. Determine (1) the correct expression of the area magnitude whose volume weight is equivalent to the vertical force exerted on the whole curved surfaces_________ A. B. C. D.
- A force of P = 850 N is applied to the smaller cylinder of a hydraulic jack (Fig.2). The area a of the small piston is 15 cm2 and the area A of the larger piston is 150 cm2. What load W can be lifted on the larger piston if the pistons are at the same level, The mass density ρ of the liquid in the jack is 103 kg /m3.Two pistons of a hydraulic lift have diameters of 4 m and 2 m. What is the force exerted by the larger piston when 100 N is placed on the smaller piston?What lift does the balloon exert at an elevation of 8km, assuming that the volume has increased 5%? Unit weight of air is 4.50 N/m^3.