booster pump on a brake system designed to be used horizontally consists of two cylinders capped by pistons connected by a hose. The cylinders and hose are filled with an incompressible fluid. The system produces a mechanical advantage of six times; that is, the output force is six times as great as the input force. If the cross-sectional area of the input piston is 2.0 in2, how large (in in2) must the area of the output piston be?

A company has several sensors in storage silos to detect the total pressure in the silos to ensure the tanks will not leak. Each tank is designed to withstand a maximum total pressure of 5.8 atmospheres​ [atm]. An engineer wants to use one of the silos to store liquid nitric​ acid, which has a density of 97​ pound-mass per cubic foot [lbm​/ft3​].If the tank is filled to a depth of 90 feet​ [ft], how much surface pressure in units of atmospheres​ [atm] can be applied to the top of the liquid inside the tank without exceeding the maximum total pressure of the​ silo?

A hydraulic brake system consists of the brake pedal, a master cylinder, a brake cylinder, a brake shoe, and a wheel drum (see the figure below). When the driver exerts a force Fprake on the pedal, the result is a force of friction f on the wheel drum and hence a frictional torque about the axle. The master cylinder piston's cross-sectional area Ame is 1.80 cm2, while the brake cylinder piston's cross-sectional area Anc is 6.40 cm2. The coefficient of friction between the brake shoe and 'mc the drum is 0.500, and the wheel drum has a radius of 44.3 cm. Determine the frictional torque about the axle when the force exerted on the brake pedal is 41.7 N. (Give the magnitude of your answer in N• m.) Wheel drum Pedal Shoe Master Brake cylinder cylinder N• m

A waste management company handles large dumpsters of construction debris. The sorting process starts by downloading the dumpster from the transport truck and then dumping its contents into a large hopper as shown below. The waste management plant uses a hydraulic cylinder arrangement to tilt the dumpster to the point that the force of gravity will empty the contents. The plant operator activates an electric pump that pumps hydraulic oil into the input piston at an absolute pressure of 2.50 x 106 Pa and drives the output plunger, which has a radius of 0.230 m. If the design of the dumping arrangement is such that the output plunger remains perpendicular to the floor of the dumpster, determine the torque the plunger creates about an axis at the end of the dumpster. Enter a number. Frect pressure to use for the pressure in the oil at the site of the input piston? According to Pascal's Law, how is the pressure in the oil at the site of the output plunger related to the pressure in the oil…

For a given cylindrical tank, the radius is 8 m and the height is 18 m. The tank is filled to a depth of 10 m. How much work is required to pump all of the water over the top edge of the tank? Acceleration due to gravity is 9.8 m/sec and the density of water is 1000 kg/m". Round your answer to the nearest kilojoule. Provide your answer below: W kJ

A rectangular aquarium having a length of 3meters, a width of 1 meter, and a height of 2meters is filled to the top with water. Giventhat water has a density of 1000 kg per ?^3,find the work required to pump all of thewater over the top edge of the tank.

A booster pump on a brake system designed to be used horizontally consists of two cylinders capped by pistons connected by a hose. The cylinders and hose are filled with an incompressible fluid. The system produces a mechanical advantage of six times; that is, the output force is six times as great as the input force. If the cross-sectional area of the input piston is 2.6 in2, how large (in in2) must the area of the output piston be?    _____________in2

A room has a width of 14.1 feet, a length of 15.5 feet, and a ceiling height of 12.0 ft. The average flow rate for this room's air conditioning unit is 3.07 m^3/s. How many SECONDS will it take for the air conditioner to cycle the volume of air in the room?

A tank in the shape of an inverted cone has a height of 20 meters and a base radius of 11 meters and is filled with liquid to a depth of 16 meters. Determine the amount of work needed to pump all of the liquid to a point 1m from to the top of the tank. Assume that the density of the liquid is 793 kg/m 3

A waste management company handles large dumpsters of construction debris. The sorting process starts by downloading the dumpster from the transport truck and then dumping its contents into a large hopper as shown below. The waste management plant uses a hydraulic cylinder arrangement to tilt the dumpster to the point that the force of gravity will empty the contents. The plant operator activates an electric pump that pumps hydraulic oil into the input piston at an absolute pressure of 3.90 x 106 Pa and drives the output plunger, which has a radius of 0.140 m. If the design of the dumping arrangement is such that the output plunger remains perpendicular to the floor of the dumpster, determine the torque the plunger creates about an axis at the end of the dumpster. N.m dumpst 6.00 m - output plunger rotation axis input for hydraulic oil hopper