University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 9, Problem 9.22E

You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise, (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s2, what should the angular acceleration of the axle be?

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You are to design a rotating cylindrical axle to lift 6.0-N buckets of cement from the ground to a rooftop 5.8 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise. (a) What should the diameter (in cm) of the axle be in order to raise the buckets at a steady 2.8 cm/s when it is turning at 2.6 rpm?
You are to design a rotating cylindrical axle to lift 800 N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise. (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s2, what should the angular acceleration of the axle be?
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Chapter 9 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 9 - In Fig. Q9.4, how are the radial accelerations of...Ch. 9 - A flywheel rotates with constant angular velocity....Ch. 9 - What is the purpose of the spin cycle of a washing...Ch. 9 - You are designing a flywheel to store kinetic...Ch. 9 - Can you think of a body that has the same moment...Ch. 9 - To maximize the moment of inertia of a flywheel...Ch. 9 - How might you determine experimentally the moment...Ch. 9 - A cylindrical body has mass M and radius R. Can...Ch. 9 - Describe how you could use part (b) of Table 9.2...Ch. 9 - A hollow spherical shell of radius R that is...Ch. 9 - For the equations for I given in parts (a) and (b)...Ch. 9 - In part (d) of Table 9.2, the thickness of the...Ch. 9 - Two identical balls, A and B, are each attached to...Ch. 9 - An elaborate pulley consists of four identical...Ch. 9 - You can use any angular measureradians, degrees,...Ch. 9 - When calculating the moment of inertia of an...Ch. 9 - A wheel is rotating about an axis perpendicular to...Ch. 9 - Estimate your own moment of inertia about a...Ch. 9 - (a) What angle in radians is subtended by an are...Ch. 9 - An airplane propeller is rotating at 1900 rpm...Ch. 9 - CP CALC The angular velocity of a flywheel obeys...Ch. 9 - CALC A fan blade rotates with angular velocity...Ch. 9 - CALC A child is pushing a merry-go-round. The...Ch. 9 - CALC At t = 0 the current to a dc electric motor...Ch. 9 - CALC The angle through which a disk drive turns...Ch. 9 - A wheel is rotating about an axis that is in the...Ch. 9 - A bicycle wheel has an initial angular velocity of...Ch. 9 - An electric fan is turned off, and its angular...Ch. 9 - The rotating blade of a blender turns with...Ch. 9 - (a) Derive Eq. (9.12) by combining Eqs. (9.7) and...Ch. 9 - A turntable rotates with a constant 2.25 rad/s2...Ch. 9 - A circular saw blade 0.200 m in diameter starts...Ch. 9 - A high-speed flywheel in a motor is spinning at...Ch. 9 - At t = 0 a grinding wheel has an angular velocity...Ch. 9 - A safety device brings the blade of a power mower...Ch. 9 - In a charming 19th-century hotel, an old-style...Ch. 9 - Using Appendix F, along with the fact that the...Ch. 9 - Compact Disc. 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According to the shop manual, when...Ch. 9 - Four small spheres, each of which you can regard...Ch. 9 - Calculate the moment of inertia of each of the...Ch. 9 - Calculate the moment of inertia of each of the...Ch. 9 - A uniform bar has two small balls glued to its...Ch. 9 - You are a project manager for a manufacturing...Ch. 9 - A wagon wheel is constructed as shown in Fig....Ch. 9 - An airplane propeller is 2.08 m in length (from...Ch. 9 - A compound disk of outside diameter 140.0 cm is...Ch. 9 - A wheel is turning about an axis through its...Ch. 9 - A uniform sphere with mass 28.0 kg and radius...Ch. 9 - A hollow spherical shell has mass 8.20 kg and...Ch. 9 - The flywheel of a gasoline engine is required to...Ch. 9 - You need to design an industrial turntable that is...Ch. 9 - Energy is to be stored in a 70.0-kg flywheel in...Ch. 9 - A light, flexible rope is wrapped several times...Ch. 9 - A frictionless pulley has the shape of a uniform...Ch. 9 - A bucket of mass m is tied to a massless cable...Ch. 9 - CP A thin, light wire is wrapped around the rim of...Ch. 9 - A uniform 2.00-m ladder of mass 9.00 kg is leaning...Ch. 9 - How I Scales. If we multiply all the design...Ch. 9 - Find the moment of inertia of a hoop (a...Ch. 9 - About what axis will a uniform, balsa-wood sphere...Ch. 9 - (a) For the thin rectangular plate shown in part...Ch. 9 - A thin. rectangular sheet of metal has mass M and...Ch. 9 - A thin uniform rod of mass M and length L is bent...Ch. 9 - Prob. 9.53ECh. 9 - CALC Use Eq. (9.20) to calculate the moment of...Ch. 9 - CALC A slender rod with length L has a mass per...Ch. 9 - CALC A uniform disk with radius R = 0.400 m and...Ch. 9 - CP A circular saw blade with radius 0.120 m starts...Ch. 9 - CALC A roller in a printing press turns through an...Ch. 9 - CP CALC A disk of radius 25.0 cm is free to turn...Ch. 9 - You are designing a rotating metal flywheel that...Ch. 9 - You must design a device for shooting a small...Ch. 9 - Engineers are designing a system by which a...Ch. 9 - A vacuum cleaner bell is looped over a shaft of...Ch. 9 - The motor of a table saw is rotating at 3450...Ch. 9 - While riding a multispeed bicycle, the rider can...Ch. 9 - A computer disk drive is turned on starting from...Ch. 9 - It has been argued that power plants should make...Ch. 9 - A uniform disk has radius R0 and mass M0. Its...Ch. 9 - Measuring I. As an intern at an engineering firm,...Ch. 9 - A uniform, solid disk with mass m and radius R is...Ch. 9 - CP A meter stick with a mass of 0.180 kg is...Ch. 9 - A physics student of mass 43.0 kg is standing at...Ch. 9 - A slender rod is 80.0 cm long and has mass 0.120...Ch. 9 - Exactly one turn of a flexible rope with mass m is...Ch. 9 - The pulley in Fig. P9.75 has radius R and a moment...Ch. 9 - The pulley in Fig. P9.76 has radius 0.160 m and...Ch. 9 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 9 - A thin, light wire is wrapped around the rim of a...Ch. 9 - In the system shown in Fig. 9.17, a 12.0-kg mass...Ch. 9 - In Fig. P9.80, the cylinder and pulley turn...Ch. 9 - BIO The Kinetic Energy of Walking. If a person of...Ch. 9 - Prob. 9.82PCh. 9 - 810 Human Rotational Energy. A dancer is spinning...Ch. 9 - A thin, uniform rod is bent into a square of side...Ch. 9 - Prob. 9.85PCh. 9 - CALC Neutron Stars and Supernova Remnants. 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