University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 12, Problem 12.1E
To determine
The weight of the cylindrical iron rod.
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An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 ✕ 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.645 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 21.2 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center?
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10³ kg/m³. The
tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5
cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.665 cm. The tread region can be approximated
as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a
width of 16.8 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its
center?
Sidewall
33.0 cm
Tread
16.5 cm
30.5 cm
kg - m²
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 103 kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of th
sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.675 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that i
its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.4 cm. What is the moment of inertia (in kg m2) of the tire about an axis perpendicular to the page through its center?
"
33.0 cm
16.5 cm
Sidewall
30.5 cm
Tread
Enter a number. find the moment of inertia of the sidewall and the moment of inertia of the tread region. Each can be modeled as a cylinder of nonzero thickness. What is the inner and outer radius for each case?
What is the formula for the moment of inertia for a thick-walled cylinder? How can you find the mass of a hollow cylinder?…
Chapter 12 Solutions
University Physics (14th Edition)
Ch. 12 - A cube of oak wood with very smooth faces normally...Ch. 12 - A rubber hose is attached to a funnel, and the...Ch. 12 - Comparing Example 12.1 (Section 12.1) and Example...Ch. 12 - Prob. Q12.4DQCh. 12 - You have probably noticed that the lower the tire...Ch. 12 - In hot-air ballooning, a large balloon is filled...Ch. 12 - In describing the size of a large ship, one uses...Ch. 12 - You drop a solid sphere of aluminum in a bucket of...Ch. 12 - A rigid, lighter-than-air dirigible filled with...Ch. 12 - Which has a greater buoyant force on it: a 25-cm3...
Ch. 12 - The purity of gold can be tested by weighing it in...Ch. 12 - During the Great Mississippi Flood of 1993, the...Ch. 12 - A cargo ship travels from the Atlantic Ocean (salt...Ch. 12 - You push a piece of wood under the surface of a...Ch. 12 - An old question is Which weighs more, a pound of...Ch. 12 - Suppose the door of a room makes an airtight but...Ch. 12 - At a certain depth in an incompressible liquid,...Ch. 12 - A piece of iron is glued to the top of a block of...Ch. 12 - You take an empty glass jar and push it into a...Ch. 12 - You are floating in a canoe in the middle of a...Ch. 12 - You are floating in a canoe in the middle of a...Ch. 12 - Two identical buckets are filled to the brim with...Ch. 12 - An ice cube floats in a glass of water. When the...Ch. 12 - A helium-filled balloon is tied to a light string...Ch. 12 - If the velocity at each point in space in...Ch. 12 - In a store-window vacuum cleaner display, a...Ch. 12 - A tornado consists of a rapidly whirling air...Ch. 12 - Airports at high elevations have longer runways...Ch. 12 - When a smooth-flowing stream of water comes out of...Ch. 12 - Prob. Q12.30DQCh. 12 - Prob. 12.1ECh. 12 - A cube 5.0 cm on each side is made of a metal...Ch. 12 - Prob. 12.3ECh. 12 - Gold Brick. You win the lottery and decide to...Ch. 12 - A uniform lead sphere and a uniform aluminum...Ch. 12 - Prob. 12.6ECh. 12 - A hollow cylindrical copper pipe is 1.50 m long...Ch. 12 - Prob. 12.8ECh. 12 - Prob. 12.9ECh. 12 - BIO (a) Calculate the difference in blood pressure...Ch. 12 - BIO In intravenous feeding, a needle is inserted...Ch. 12 - A barrel contains a 0.120-m layer of oil floating...Ch. 12 - BIO Standing on Your Head. (a) What is the...Ch. 12 - You are designing a diving bell to withstand the...Ch. 12 - BIO Ear Damage from Diving. If the force on the...Ch. 12 - The liquid in the open-tube manometer in Fig....Ch. 12 - BIO There is a maximum depth at which a diver can...Ch. 12 - BIO The lower end of a long plastic straw is...Ch. 12 - An electrical short cuts off all power to a...Ch. 12 - A tall cylinder with a cross-sectional area 12.0...Ch. 12 - A cylindrical disk of wood weighing 45.0 N and...Ch. 12 - A closed container is partially filled with water....Ch. 12 - Hydraulic Lift I. For the hydraulic lift shown in...Ch. 12 - Hydraulic Lift II. The piston of a hydraulic...Ch. 12 - Exploring Venus. The surface pressure on Venus is...Ch. 12 - A rock has mass 1.80 kg. When the rock is...Ch. 12 - A 950-kg cylindrical can buoy floats vertically in...Ch. 12 - A slab of ice floats on a freshwater lake. What...Ch. 12 - An ore sample weighs 17.50 N in air. When the...Ch. 12 - You are preparing some apparatus for a visit to a...Ch. 12 - A rock with density 1200 kg/m3 is suspended from...Ch. 12 - A hollow plastic sphere is held below the surface...Ch. 12 - A cubical block of wood, 10.0 cm on a side, floats...Ch. 12 - A solid aluminum ingot weighs 89 N in air. (a)...Ch. 12 - A rock is suspended by a light string. When the...Ch. 12 - Water runs into a fountain, filling all the pipes,...Ch. 12 - A shower head has 20 circular openings, each with...Ch. 12 - Water is flowing in a pipe with a varying...Ch. 12 - Water is flowing in a pipe with a circular cross...Ch. 12 - Home Repair. You need to extend a...Ch. 12 - A sealed tank containing seawater to a height of...Ch. 12 - Prob. 12.42ECh. 12 - What gauge pressure is required in the city water...Ch. 12 - A small circular hole 6.00 mm in diameter is cut...Ch. 12 - At a certain point in a horizontal pipeline, the...Ch. 12 - At one point in a pipeline the waters speed is...Ch. 12 - A golf course sprinkler system discharges water...Ch. 12 - A soft drink (mostly water) flows in a pipe at a...Ch. 12 - Prob. 12.49ECh. 12 - A pressure difference of 6.00 104 Pa is required...Ch. 12 - In a lecture demonstration, a professor pulls...Ch. 12 - CP The deepest point known in any of the earths...Ch. 12 - CALC A swimming pool is 5.0 m long, 4.0 m wide,...Ch. 12 - BIO Fish Navigation. (a) As you can tell by...Ch. 12 - CP CALC The upper edge of a gate in a dam runs...Ch. 12 - Ballooning on Mars. It has been proposed that we...Ch. 12 - A 0.180-kg cube of ice (frozen water) is floating...Ch. 12 - A narrow. U-shaped glass tube with open ends is...Ch. 12 - A U-shaped tube open to the air at both ends...Ch. 12 - CALC The Great Molasses Flood. On the afternoon of...Ch. 12 - A large, 40.0-kg cubical block of wood with...Ch. 12 - A hot-air balloon has a volume of 2200 m3. The...Ch. 12 - Prob. 12.63PCh. 12 - A single ice cube with mass 16.4 g floats in a...Ch. 12 - Advertisements for a certain small car claim that...Ch. 12 - A piece of wood is 0.600 m long, 0.250 in wide,...Ch. 12 - The densities of air, helium, and hydrogen (at =...Ch. 12 - When an open-faced boat has a mass of 5750 kg,...Ch. 12 - Prob. 12.69PCh. 12 - In seawater, a life preserver with a volume of...Ch. 12 - CALC A closed and elevated vertical cylindrical...Ch. 12 - Prob. 12.72PCh. 12 - A plastic ball has radius 12.0 cm and floats in...Ch. 12 - Assume that crude oil from a supertanker has...Ch. 12 - Prob. 12.75PCh. 12 - A barge is in a rectangular lock on a freshwater...Ch. 12 - CP Water stands at a depth H in a large, open tank...Ch. 12 - Your uncle is in the below-deck galley of his boat...Ch. 12 - Prob. 12.79PCh. 12 - A cylindrical bucket, open at the top, is 25.0 cm...Ch. 12 - Prob. 12.81PCh. 12 - Prob. 12.82PCh. 12 - Two very large open tanks A and F (Fig. P12.83)...Ch. 12 - A liquid flowing from a vertical pipe has a...Ch. 12 - DATA The density values in Table 12.1 are listed...Ch. 12 - DATA You have a bucket containing; in unknown...Ch. 12 - DATA The Environmental Protection Agency is...Ch. 12 - A siphon (Fig. P12.88) is a convenient device for...Ch. 12 - For the situation shown, the tissues in the...Ch. 12 - The maximum force the muscles of the diaphragm can...Ch. 12 - How does the force the diaphragm experiences due...Ch. 12 - If the elephant were to snorkel in salt water,...
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