The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.30 x 103 m and 0.120 m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 x 102 kg/m³. Compared to the weight of the output plunger, the weight of the input piston is negligible. Determine the force F, needed at the input piston in order to support the 13,500-N combined weight of a car and the output plunger under the following conditions. (a) The bottom surfaces of the input piston and output plunger are at the same level. |N (b) The bottom surface of the input piston is 2.50 m below that of the output plunger. |N

The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.30 x 103 m and 0.120 m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 x 102 kg/m³. Compared to the weight of the output plunger, the weight of the input piston is negligible. Determine the force F, needed at the input piston in order to support the 13,500-N combined weight of a car and the output plunger under the following conditions. (a) The bottom surfaces of the input piston and output plunger are at the same level. |N (b) The bottom surface of the input piston is 2.50 m below that of the output plunger. |N

Name: The car lift at your neighborhood garage is designed such that the ra
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.30 x 103 m and 0.120m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 x 102 k

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A sump pump (used to drain water from the basement of houses built below the water table) is…

A: The rate of drain of water by the pump is Q=0.55 L/s=0.55 L/s×1 m31000 L=0.55×10-3 m3/s. The output…

Q: Emperor penguins dive deeper into sea water than any other bird. An Emperor penguin weighing 245…

Q: A cylinder with base area 8 cm 42 cm 1 dm? lies on its side on a horizontal surface and is divided…

Q: In a hydraulic system, a student of mass m is standing on one of the movable pistons that is a…

Q: The drawing shows a hydraulic chamber with a spring (spring constant = 1370 N/m) attached to the…

Q: If the buoyant force was found to be 1.0 N on the submerged cylinder. What is the volume of the…

Q: While taking a shower, you notice that the shower head is made up of 46 small round openings, each…

Q: In the figure, a spring of spring constant 2.20 x 104 N/m is between a rigid beam and the output…

Q: You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled…

A: from the Pascal's Principle, pressure at worker end=pressure at car end…

Q: In the figure, a spring of spring constant 2.30 x 104 N/m is between a rigid beam and the output…

A: Given : spring constant k=2.30 × 104 N/m Area of input : Ai Area of output : 13Ai Compression…

Q: Water is flowing into a factory in a horizontal pipe with a radius of 0.0163 m at ground level. This…

Q: Piston B has a diameter of 40.0cm and an output force of 200 N. What is the input force on piston A…

A: Given: The diameter of piston B is d=40 cm. The output force is F=200 N. The diameter of piston A is…

Q: A liquid is flowing through a horizontal pipe whose radius is 0.0224 m. The pipe bends straight…

A: Given: Horizontal pipe radii, r1=0.0224 m Pipe bent height, h=8.8 m Another horizontal pipe radii,…

Q: A submersible vehicle is in a lake at a depth of 26.8 m. What is the absolute pressure (in Pa) at…

A: Given:The depth of the lake is 26.8 m.The density of the water is 1x103 kg/m3.The atmospheric…

Q: The drawing shows a hydraulic chamber with a spring (spring constant = 1690 N/m) attached to the…

A: Given data: Spring constant (k) = 1690 N/m Mass (m) = 45.0 kg Required: The compression in the…

Q: A dentist's chair with a patient in it weighs 1930 N. The output plunger of a hydraulic system…

Q: In the figure, a spring of spring constant 3.90 x 104 N/m is between a rigid beam and the output…

A: Given Value of the spring constant and area of input and output piston . Our task is to calculate…

Q: Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a…

Q: Glucose solution is administered to a patient in a hospital. The density of the solution is 1.293…

A: Given data: The density of the solution, ρ=1.293 kg/l. The blood pressure in the vein, P=29.5 mmHg.

Q: booster pump on a brake system designed to be used horizontally consists of two cylinders capped by…

Q: In the process of changing a flat tire, a motorist uses a hydraulic jack. She begins by applying a…

A: We have a force of F1=5 N applied on the input piston which has area A1 and a force F2=340 N applied…

Q: In the figure, the fresh water behind a reservoir dam has depth D = 15.5 m. A horizontal pipe 5.62…

A: The given data are: D=15.5 mdp=5.62 cm=5.62×10-2 md=5.24 m

Q: Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a…

Q: F₁ A₁ F₂ A₂

A: F1 = 205 N d1= 0.015 m d2 = 0.25 m Let output force is ' F2 ' .

Q: A force of 295 N is applied to a hydraulic jack piston that is 0.026m in diameter. The second piston…

A: Given data: Force applied to first piston (F1) = 295 N Diameter of first piston (d1) = 0.026 m…

Q: An Oil refinery needs to pump oil of different densities from the import truck to its holding tank…

A: given height, h=13 m gauge pressure, p=2.2 atm =2.2*1.01*10^5 pa we know that gauge pressure…

Q: A force of 343 N is applied to a hydraulic jack piston that is 0.0388 m in diameter. The second…

Q: A nozzle with an area of 0.3 cm2 is attached to a garden hose with an area of 1.5 cm2. The flow rate…

A: area of nozzle = An= 0.3 cm2 area of hose = Ah= 1.5 cm2 volume flow rate = Q = 0.12 L/s

Q: The drawing shows a hydraulic chamber with a spring (spring constant = 1100 N/m) attached to the…

Q: water flows through a section of pipe at a speed of 9.72 m/s. the water that flows into a 6.47 m…

Q: A force of 295 N is applied to a hydraulic jack piston that is 0.026 m in diameter. The second…

A: GivenF1 = 295 Nd1 = 0.026 md2 = 0.19 m

Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

Topic Video

Question

The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.30 x 103 m and 0.120
m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 x 102 kg/m³. Compared to the weight
of the output plunger, the weight of the input piston is negligible. Determine the force F, needed at the input piston in order to support the
13,500-N combined weight of a car and the output plunger under the following conditions.
(a) The bottom surfaces of the input piston and output plunger are at the same level.
(b) The bottom surface of the input piston is 2.50 m below that of the output plunger.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2 are A1 and A2, respectively. A force F1 is exerted on piston 1. Rank the resultant force F2 on piston 2 that results from the combinations of F1, A1, and A2 given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) A. F1 = 6.0 N; A1 = 0.3 m2; and A2 = 0.6 m2B. F1 = 3.0 N; A1 = 0.3 m2; and A2 = 0.15 m2C. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 1.2 m2D. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.6 m2E. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.3 m2F. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 0.3 m2
the plunger and the needle of a hypodermic syringe have areas of 0.5 cm^2 and 0.0006 cm^2, respectively. To inject a vaccine, a nurse pushes the plunger with a force of 5.5 N. What pressure is transmitted into the vaccine?
6 TO R E A hydraulic jack has input piston with cross-sectional area 0.05 m2 and output piston with cross-sectional area 0.17 m2. If the input force is 640 N, calculate the output force in kN. kN (Note the units!) 直。 SNSV f5 94 E3 f8 f12 E3 OL 因ロ 5 7. 8 4. Y K.
please answer in m
The drawing shows an intravenous feeding. With the distance shown, nutrient solution (p = 1040 kg/m³) can just barely enter the blood in the vein. What is the gauge pressure of the venous blood? Express your answer in millimeters of mercury. Number i Units Atmospheric pressure > en 0.610 m
In the figure, the fresh water behind a reservoir dam has depth D = 14.0 m. A horizontal pipe 3.51 cm in diameter passes through the dam at depth d= 5.62 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.00 h? (a) Number (b) Number Units Units
A liquid is flowing through a horizontal pipe whose radius is 0.0301 m. The pipe bends straight upward through a height of 8.80 m and joins another horizontal pipe whose radius is 0.0726 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? Number Units 202
(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.2 m. Assume the density of the water is 1.00 x 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 31.0 cm? N
A window on a plane has a radius of 0.33 m. The plane crashes at a depth that the water pressure is 4.33 × 105 Pa, and the aeroplanes air is at atmospheric pressure 1.01 105 Pa. What force is surrounding the window keep it in place in newtons?
In the figure, the fresh water behind a reservoir dam has depth D-13.4 m. A horizontal pipe 4.39 cm in diameter passes through the dam at depth d - 6.37 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.92 h? (a) Number (b) Number Units Units N m3