The hydraulic oil in a car lift has a density of 8.46 x 10² kg/m³. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.37 x 10-3 m and 0.191 m, respectively. What input force F is needed to support the 29800-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface of the output plunger is 1.10 m above that of the input plunger? (a) Number i (b) Number i Units Units ♥

The hydraulic oil in a car lift has a density of 8.46 x 10² kg/m³. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.37 x 10-3 m and 0.191 m, respectively. What input force F is needed to support the 29800-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface of the output plunger is 1.10 m above that of the input plunger? (a) Number i (b) Number i Units Units ♥

Name: The hydraulic oil in a car lift has a density of 8.46 x 10² kg/m³. Th
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: The hydraulic oil in a car lift has a density of 8.46 x 10² kg/m³. Theweight of the input piston is negligible. The radii of the input pistonand output plunger are 7.37 x 10-3 m and 0.191 m, respectively. Whatinput force F is needed to support the 2

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) AL m wwwww (b)

A: Spring constant, k = 150 N/m Mass of wood, m = 3.50 kg Density of wood, d = 630 kg/m3

Q: A rectangular cistern 2m x 3m is filled to a depth of 0.5m with water. On top of the water is a…

A: Depth of water, dw=0.5 m Depth of oil, do=0.9 m The specific gravity of oil, s=0.6 The length of…

Q: A solid block is attached to a spring scale. When the block is suspended in air, the scale reads…

A: The block, attached to the spring scale, expands the spring, and thus by the force acting on the…

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

Q: Water (density = 1 x 10 kg/m) flows at 15.6 m/s through apipe with radius 0.05 m. This same pipe…

A: Givendensity of water, ρ = 1×103 kgm3speed of water, v = 15.6 msradius of the pipe, r1 = 0.05…

Q: A certain hydraulic system is designed to exert a force 100 times as large as the one put into it.…

A: Let Aw and Ap are the area of the wheel cylinder and pedal cylinder respectively. Fw and Fpare the…

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: The mechanism shown is used to lower handicapped persons into a whirlpool tub for therapeutic…

Q: The plunger and the needle of a hypodermic syringe have areas of 0.5 cm2 and 0.0006 cm2 ,…

A: Given Area of plunger A = 0.5 cm2 = 0.5*10-4 m2 Force applied F = 5.5N

Q: A hydraulic lift in a garage has two pistons: a small one of cross sectional area 5.00 cm squared…

A: In the question it is given that ,area of the small pistan, a1=5 cm2area of the large piston, a2=…

Q: Liquid toxic waste with a density of 1795 kg/m³ is flowing through a section of pipe with a radius…

A: Density = 1795 kg/m3 Radius1 = 0.398 m

Q: A hydraulic press is used to compact powdered samples. The device is made of two interconnected…

Q: When one end of the capillary is dipped in water, the height of water column is 'h'. The upward…

A: In a capillary tube the upward force is due to the surface tension The Upward force, F=105…

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

Q: Under Pressure by Freddie. The figure shows a hydraulic system constructed using mercury and two…

A: At initial condition: Since the platforms are level, as per Pascal's Law: Pressure at 1 = pressure…

Q: (a) A rectangular access panel in the side of an open storage water tank is 0.2m wide x 0.2m high as…

A: “As per the policy we are allowed to answer only 1 question at a time, I am providing the same.…

Q: A force of 500 N is applied to a hydraulic jack piston that is 0.04 m in diameter. If the piston…

A: Given data: Force on hydraulic jack (F1) = 500 N Diameter of jack piston (d1) = 0.04 m Diameter of…

Q: A person who weighs 758 N is riding a 76-N mountain bike. Suppose the entire weight of the rider…

A: given that,weight of person= 758 Nweight of mountain bike=76 Ngauge pressure in each tire = 5.50 ×…

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

Q: There are two cans on a table. The same pressure is exerted by each of the weights of the cans but…

A: The force (F1) exerted on the table by the can is just the weight (W1) of the can.radius of 1st can…

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: The input and output pistons of a hydraulic car lift have diameters of 3.00 in and 25.0 in,…

A: Solution:-Given thatDiameter of input piston (D1)=3 inDiameter of output piston (D2)=25 inWeight of…

Q: A legendary Dutch boy saved Holland by plugging a hole of diameter 1.20 cm in a dike with his…

A: Given: A legendary Dutch boy saved Holland by plugging a hole of diameter 1.20 cm The hole was 2.00…

Q: A tall, open rectangular container is filled with a liquid of density 460 kg/m3. The vertical…

A: Given that, atmospheric pressure ( P0)=1.013x10⁵ Pa Side of square base (a)= 0.06 m liquid density…

Q: a) What volume must a (450 kg) cube have in order to float in water? b) Suppose now that the cube…

A: Given Mass of cube =450 kg And the medium is water

Q: Water (density = 1 x 103 kg/m³) flows at 13.6 m/s through a pipe with radius 0.05 m. This same pipe…

A: According to Bernoullis eqn:- P + ρgh + ρv2/2 = constant ρ = fluid density g = acceleration due to…

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: Find the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m2.

A: The formula of pressure at a depth h due to fluid having density ρ is…

Q: What pressure (N/m2) is exerted on the bottom of a 0.621 m wide by 0.934 m long gas tank that can…

A: Given- width of bottom of tank , b =0.621 m length of bottom of tank , l = 0.934 m mass of gasoline…

Q: Water (density = 1 x 103 kg/m³) flows at 20 m/s through a pipe with radius 0.04 m. This %3D same…

Q: Water (density = 1 x 103 kg/m³) flows at 14.5 m/s through a pipe with radius 0.05 m. This same pipe…

Q: What is the density of a woman who floats in fresh water with 4.00% of her volume above the surface?…

A: Given: Need to find the density of a woman who floats in freshwater with 4.00% of her volume. Also…

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

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 hydraulic oil in a car lift has a density of 8.46 x 10² kg/m³. The
weight of the input piston is negligible. The radii of the input piston
and output plunger are 7.37 x 10-3 m and 0.191 m, respectively. What
input force F is needed to support the 29800-N combined weight of a
car and the output plunger, when (a) the bottom surfaces of the piston
and plunger are at the same level, and (b) the bottom surface of the
output plunger is 1.10 m above that of the input plunger?
(a) Number i
(b) Number
Units
Units

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 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

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?
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.
The pressure exerted by a water column of height 40 cm is same as that exerted by 30 cm column of an unknown liquid. What is the density of liquid?
A piston connected to a trigger in a water pistol gun drives water (1000 kg/m3) through a large tube of area A. (radius of 1.00 cm) into a smaller tube of area A, (radius of 1.00 mm). The smaller tube is 3.00 cm above the larger tube. The water stream coming out of the nozzle of the water gun reaches 8.00 m away in just 0.500 s. Calculate the force that must be exerted on the trigger (due to pressure over and above atmospheric pressure). 0.500 s 8.00 m Select one: O 128 N O 40.3 N O 72.1 N O 33,0 N O O O O
A vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and above it there is an oil layer 0.3 m thick. The density of water is 1000 kg/m3, and the density of oil is 800 kg/m3. Find the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m2. The acceleration due to gravity is 9.81 m/s2.
The hydraulic oil in a car lift has a density of 8.04 x 10^2 kg/m^3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.76 x 10^-3m and 0.198m, respectively. What input force F is needed to support the 28500-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface of the output plunger is 1.40m above that of the input plunger?
Water rises to height of 10 cm in a certain capillary tube. If the same capillary is dipped into mercury, the level of mercury decreases to 3.42 cm. Compare the surface tension of water and mercury, if densities of mercury and water are 13.6 × 10³ kg/m³ and 10' kg / m³ respectively. Angle of contact for water is 0° and that for mercury is 135°.
A pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.40 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.80 cm and 1.40 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/s