University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10, Problem 10.91CP
(a)
To determine
The tension in the string as a function of r
.
(b)
To determine
The work done by the tension to change the radius from r 1 to r 2 .
(c)
To determine
The change in the kinetic energy of the string.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 9: A thin cylindrical ring starts from rest at a height hj = 75 m. The ring has a
radius R = 46 cm and a mass M =2 kg.
R
h,
h,
A wind turbine on a wind farm turns in response to a force of high-speed air resistance, R=0.5DρAυ2. The power available is P=Rυ=0.5Dρπr2υ3., where .υ is the wind speed and we have assumed a circular face for the wind turbine of radius r. Take the drag coefficient as D=1.0 and the density of air from the front endpaper . For a wind turbine having r=1.5 m, calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s. Find also the power delivered to the generator that is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
A wind turbine on a wind farm turns in response to a force of high-speed air resistance, R=0.5DρAυ2. The power available is P=Rυ=0.5Dρπr2υ3., where .υ is the wind speed and we have assumed a circular face for the wind turbine of radius r. Take the drag coefficient as D=1.0 and the density of air from the front endpaper . For a wind turbine having r=1.5 m, calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s. The power delivered to the generator is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
Chapter 10 Solutions
University Physics (14th Edition)
Ch. 10 - Can a single force applied to a body change both...Ch. 10 - Suppose you could use wheels of any type in the...Ch. 10 - Serious bicyclists say that if you reduce the...Ch. 10 - The harder you hit the brakes while driving...Ch. 10 - When an acrobat walks on a tightrope, she extends...Ch. 10 - When you turn on an electric motor, it takes...Ch. 10 - The work done by a force is the product of force...Ch. 10 - A valued client brings a treasured ball to your...Ch. 10 - You make two versions of the same object out of...Ch. 10 - Two identical masses are attached to frictionless...
Ch. 10 - The force of gravity acts on the baton in Fig....Ch. 10 - A certain solid uniform bail reaches a maximum...Ch. 10 - A wheel is rolling without slipping on a...Ch. 10 - A hoop, a uniform solid cylinder, a spherical...Ch. 10 - A ball is rolling along al speed without slipping...Ch. 10 - You are standing at the center of a large...Ch. 10 - Global Warming. If the earths climate continues to...Ch. 10 - It two spinning objects have the same angular...Ch. 10 - A student is sitting on a frictionless rotating...Ch. 10 - A point particle travels in a straight line at...Ch. 10 - In Example 10.10 (Section 10.6) the angular speed ...Ch. 10 - In Example 10.10 (Section 10.6) the rotational...Ch. 10 - As discussed in Section 10.6, the angular momentum...Ch. 10 - If you stop a spinning raw egg for the shortest...Ch. 10 - A helicopter has a large main rotor that rotates...Ch. 10 - In a common design for a gyroscope, the flywheel...Ch. 10 - A gyroscope is precessing about a vertical axis....Ch. 10 - A gyroscope takes 3.8 s to precess 1.0 revolution...Ch. 10 - A gyroscope is precessing as in Fig. 10.32. What...Ch. 10 - A bullet spins on its axis as it emerges from a...Ch. 10 - Calculate the torque (magnitude and direction)...Ch. 10 - Calculate the net torque about point O for the two...Ch. 10 - A square metal plate 0.180m on each side is...Ch. 10 - Three forces are applied to a wheel of radius...Ch. 10 - One force acting on a machine part is...Ch. 10 - A metal bar is in the xy-plane with one end of the...Ch. 10 - A machinist is using a wrench lo loosen a nut. The...Ch. 10 - A uniform disk with mass 40.0 kg and radius 0.200...Ch. 10 - The flywheel of an engine has moment of inertia...Ch. 10 - A cord is wrapped around ihe rim of a solid...Ch. 10 - A machine part has the shape of u solid uniform...Ch. 10 - CP A stone is suspended from the free end of a...Ch. 10 - Prob. 10.13ECh. 10 - CP A 15.0-kg bucket of water is suspended by a...Ch. 10 - A wheel rotates without friction about a...Ch. 10 - A 12.0-kg box resting on a horizontal,...Ch. 10 - A 2.20-kg hoop 1.20 m in diameter is rolling to...Ch. 10 - BIO Gymnastics. We can roughly model a gymnastic...Ch. 10 - What fraction of the total kinetic energy is...Ch. 10 - A siring is wrapped several times around the rim...Ch. 10 - A solid ball is released from rest and slides down...Ch. 10 - A hollow, spherical shell with mass 2.00 kg rolls...Ch. 10 - A 392-N wheel comes off a moving truck and rolls...Ch. 10 - A uniform marble rolls down a symmetrical bowl,...Ch. 10 - A thin, light string is wrapped around the outer...Ch. 10 - A Ball Rolling Uphill. A bowling ball rolls...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A playground merry-go-round has radius 2.40 m and...Ch. 10 - An engine delivers 175 hp to an aircraft propeller...Ch. 10 - A 2.80-kg grinding wheel is in the form of a solid...Ch. 10 - An electric motor consumes 9.00 kJ of electrical...Ch. 10 - (a) Compute the torque developed by an industrial...Ch. 10 - An airplane propeller is 2.08 m in length (from...Ch. 10 - A 2.00-kg rock has a horizontal velocity of...Ch. 10 - A woman with mass 50 kg is standing on the rim of...Ch. 10 - Find the magnitude of the angular momentum of the...Ch. 10 - (a) Calculate the magnitude of the angular...Ch. 10 - CALC A hollow, thin-walled sphere of mass 12.0 kg...Ch. 10 - CP A small block on a frictionless, horizontal...Ch. 10 - Prob. 10.41ECh. 10 - A diver comes off a board with arms straight up...Ch. 10 - The Spinning Figure Skater. The outstretched hands...Ch. 10 - A solid wood door 1.00 m wide and 2.00 m high is...Ch. 10 - A large wooden turntable in the shape of a flat...Ch. 10 - Asteroid Collision! Suppose that an asteroid...Ch. 10 - Prob. 10.47ECh. 10 - A thin uniform rod has a length of 0.500 m and is...Ch. 10 - A thin, uniform metal bar. 2.00 m long and...Ch. 10 - A uniform. 4.5-kg, square, solid wooden gate 1.5 m...Ch. 10 - The rotor (flywheel) of a loy gyroscope has mass...Ch. 10 - A Gyroscope on the Moon. A certain gyroscope...Ch. 10 - Stabilization of the Hubble Space Telescope. The...Ch. 10 - A 50.0-kg grindstone is a solid disk 0.520 m in...Ch. 10 - 10.55A grindstone in the shape of a solid disk...Ch. 10 - A thin, uniform. 3.80-kg bar, 80.0 cm long, has...Ch. 10 - You are designing a simple elevator system for an...Ch. 10 - The Atwoods Machine. Figure P10.59 illustrates an...Ch. 10 - The mechanism shown in Fig. P10.60 is used to...Ch. 10 - A large 16.0-kg roll of paper with radius R = 18.0...Ch. 10 - A block with mass m = 5.00 kg slides down a...Ch. 10 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 10 - A lawn roller in the form of a thin-walled, hollow...Ch. 10 - Two weights are connected by a very light,...Ch. 10 - You complain about fire safety to the landlord of...Ch. 10 - The Yo-yo. A yo-yo is made from two uniform disks,...Ch. 10 - CP A thin-walled, hollow spherical shell of mass m...Ch. 10 - A basketball (which can be closely modeled as a...Ch. 10 - CP A solid uniform ball rolls without slipping up...Ch. 10 - Rolling Stones. A solid, uniform, spherical...Ch. 10 - You are designing a system for moving aluminum...Ch. 10 - A 42.0-cm-diameter wheel, consisting of a rim and...Ch. 10 - A uniform, 0.0300-kg rod of length 0.400 in...Ch. 10 - A uniform solid cylinder with mass M and radius 2R...Ch. 10 - Tarzan and Jane in the 21st Century. Tarzan has...Ch. 10 - A 5.00-kg ball is dropped from a height of 12.0 m...Ch. 10 - The solid wood door of a gymnasium is 1.00 m wide...Ch. 10 - A uniform rod of length L rests on a friction less...Ch. 10 - CP A large turntable with radius 6.00 m rotates...Ch. 10 - In your job as a mechanical engineer you are...Ch. 10 - A local ice hockey team has asked you to design an...Ch. 10 - You are designing a slide for a water park. In a...Ch. 10 - Neutron Star Glitches. Occasionally, a rotating...Ch. 10 - A 500.0-g bird is flying horizontally at 2.25 m/s,...Ch. 10 - CP A small block with mass 0.130 kg is attached to...Ch. 10 - A 55-kg runner runs around the edge of a...Ch. 10 - DATA The V6 engine in a 2014 Chevrolet Silverado...Ch. 10 - DATA You have one object of each of these shapes,...Ch. 10 - DATA You are testing a small flywheel (radius...Ch. 10 - Prob. 10.91CPCh. 10 - When an object is rolling without slipping, the...Ch. 10 - A demonstration gyroscope wheel is constructed by...Ch. 10 - The moment of inertia of the empty turntable is...Ch. 10 - While the turntable is being accelerated, the...Ch. 10 - A doubling of the torque produces a greater...Ch. 10 - If the bodys center of mass were not placed on the...
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
- A small ball of mass m is suspended by a string of length I. The Sung makes an angie ß with the vertical. The ball revolves in a circle with an unknown constant angular speed w. The orbital plane of the ball is at a height h above the ground. Let g be the gravitational constant. You may ignore air resistance and the size of the ball. m +y +x Find an expression for the angular speed w. Express you answer in terms of some or all of the following: 1, ß, and g.arrow_forwardA variation of the amusement park ride discussed in Problem 11 is the Gravitron, which consists of a rotating cylinder, where riders stand with their backs against the inner surface of the cylinder (see image). As the cylinder rotates faster, riders get stuck to the wall. The effect is great enough, that in some rides, the floor even drops away. Let’s model the Gravitron as a rotating cylinder with vertical walls. The radius of the cylinder is 5.5 m. At one point during the ride, the speed of the Gravitron is 24 rpm, at which point a rider slides down the wall at constant speed. What is the coefficient of kinetic friction between the rider and the wall?arrow_forwardA hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is not necessarily small compared with the radius RE of the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth’s surface. Your expression should involve h, RE, and mE (the earth’s mass).arrow_forward
- In an amusement park ride, a person with mass 70 kg stands against the wall of a cylindrical room with radius 10.3 and coefficient of friction 0.457 between the rider and the wall. The ride begins to rotate. When the ride attains a constant speed of 7.3 m/s, the floor drops down ward. The rider remains pinned against the wall. What is the magnitude of the force that the rider feels pinning him against the wall?arrow_forwardA box descends a ramp and lands on a surface. The box exits the side of the table as it meets the bottom of the tamp, becoming a horizontal projectile. It lands x metres away from the table. The same ramp may be rolled down by a solid sphere with the same coefficient of friction, mass, and height. Will the sphere land a long way away? fewer than a lot more At a similar size B. Have a paragraph-length description of the logic.arrow_forwardA conical pendulum consists of a mass of 0.5 kg attached at one end of a sting. The other end is fixed. As the mass moves in a circular path of radius 0.7 m, the string traces out the surface of a cone. What is the angle that the string makes with the ceiling?arrow_forward
- A piece of putty is initially located at point A on the rim of a grinding wheel rotating at constant angular speed about a horizontal axis. The putty is dislodged from point A when the diameter through A is horizontal. It then rises vertically and returns to A at the instant the wheel completes one revolution. From this information, we wish to find the speed υ of the putty when it leaves the wheel and the force holding it to the wheel. (a) What analysis model is appropriate for the motion of the putty as it rises and falls? (b) Use this model to find a symbolic expression for the time interval between when the putty leaves point A and when it arrives back at A, in terms of υ and g. (c) What is the appropriate analysis model to describe point A on the wheel? (d) Find the period of the motion of point A in terms of the tangential speed v and the radius R of the wheel. (e) Set the time interval from part (b) equal to the period from part (d) and solve for the speed υ of the putty as it…arrow_forwardA large globe has a radius R and a frictionless surface. A small block of mass m slides starts from rest at the very top of the globe and slides along the surface of the globe. The block leaves the surface of the globe when it reaches a height hcrit above the ground. The geometry of the situation is shown in the figure for an arbitrary height h. (Figure 1) a) Using Newton's 2nd law, find vcrit, the speed of the block at the critical moment when the block leaves the surface of the globe. (Assume that the height at which the block leaves the surface of the globe is hcrit) Express the speed in terms of R, hcrit, and g, the magnitude of the acceleration due to gravity. Do not use theta in your answer. b) Use the law of conservation of energy to find vcrit. This will give you a different expression for vcrit than you found in the previous part. Express vcrit in terms of R, hcrit, and g. c) Find hcrit, the height from the ground at which the block leaves the surface of the globe. Express…arrow_forwardA carnival ride tests your courage by putting you in a situation that would appear dangerous. A person with a mass of 75.3 kg steps into a cylindrical tube that has a radius of 4.1 m. The tube begins to rotate around its center axis. As the speed of rotation increases, the passenger feels pushed against the wall of the tube. When the tube is rotating rapidly, the floor drops out. Luckily, there is a coefficient of static friction between the passenger and the wall, which keeps them from falling. If the value of that coefficient is 0.501, then what is the minimum speed that the passenger must be moving at?arrow_forward
- A small ball of mass m is suspended by a string of length L. The string makes an angle β with the vertical. The ball revolves in a circle with an unknown constant angular speed w. The orbital plane of the ball is at a height h above the ground. Let g be the gravitational constant. You may ignore air resistance and the size of the ball.Later, the ball detaches from the string just as it passes the x-axis. It flies through the air and hits the ground at an unknown horizontal distance d from the point at which it detached from the string. What horizontal distance d does the ball traverse before it hits the ground? Express you answer in terms of some or all of the following: β, L, harrow_forwardA handful of professional skaters have taken a skateboard through an inverted loop in a full pipe. For a typical pipe with a diameter 13 feet, what is the minimum speed a 66 kg skater must have at the very top of the loop?arrow_forwardA pulley (in the form of a uniform disk) with mass Mp and radius Rp is attached to the ceiling in a uniform gravitational field g and rotates with no friction about its pivot. Mass M2 is larger than mass mı, and they are connected by a massless inextensible cord. T1, T2, and Ts are magnitudes of the tensions. What is the relationship between the ten- sion T and mi g? T3 R 1. T¡ m1 9 ANS = OPTION 4 NEED SOLUTIONarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning