Explanation 1) Concept: We use the formula for velocity in terms of force and mass per unit length, and to find time, we use the basic formula for speed which is distance divided by time. 2) Formula: i) v = F μ ii) v = L t 3) Given: i) Unstarched length is l ii) Mass is m iii) Spring constant is k iv) Additional length is ∆ l 4) Calculation: Here theforce is due to the spring and it is as follows F = k ∆ l And mass per unit length μ is as follows μ = m l + ∆ l So speed of the wave is as follows v = F μ v = k × ∆ l m l + ∆ l So v = k × ∆ l × ( l + ∆ l ) m Now time is as follows v = t o t a l d i s t a n c e t i m e k × ∆ l × ( l + ∆ l ) m = 2 π ( l + ∆ l ) t k × ∆ l × ( l + ∆

10th Edition

ISBN: 9781118230732

Author: David Halliday

Publisher: WILEY

See similar textbooks

Concept explainers

Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

Question

Chapter 16, Problem 77P

To determine

To Find:

a) What is speed in terms of m,∆l and k?

b) Time required

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16, Problem 76P

Chapter 16, Problem 78P

Students have asked these similar questions

Consider a image that is located 30 cm in front of a lens. It forms an upright image 7.5 cm from the lens. Theillumination is so bright that that a faint inverted image, due to reflection off the front of the lens, is observedat 6.0 cm on the incident side of the lens. The lens is then turned around. Then it is observed that the faint,inverted image is now 10 cm on the incident side of the lens.What is the index of refraction of the lens?

2. In class, we discussed several different flow scenarios for which we can make enough assumptions to simplify the Navier-Stokes equations enough to solve them and obtain an exact solution. Consulting the cylindrical form of the Navier-Stokes equations copied below, please answer the following questions. др a 1 a + +0x- + +O₂ = Pgr + μl 18²v, 2 ave ²v₁] az2 + at or r de r Əz dr ar Vodvz др [18 + + +Or + +Vz = Pgz +fl at ar r 20 ôz ôz dr ave дов V,Ve ave +Or + + = pge at dr r 80 Əz + az2 a.) In class, we discussed how the Navier-Stokes equations are an embodiment of Newton's 2nd law, F = ma (where bolded terms are vectors). Name the 3 forces that we are considering in our analysis of fluid flow for this class. др a 10 1 ve 2 av 2200] + +μ or 42 30 b.) If we make the assumption that flow is "fully developed" in the z direction, which term(s) would go to zero? Write the term below, describe what the term means in simple language (i.e. do not simply state "it is the derivative of a with…

1. Consult the form of the x-direction Navier-Stokes equation below that we discussed in class. (For this problem, only the x direction equation is shown for simplicity). Note that the equation provided is for a Cartesian coordinate system. In the spaces below, indicate which of the following assumptions would allow you to eliminate a term from the equation. If one of the assumptions provided would not allow you to eliminate a particular term, write "none" in the space provided. du ди at ( + + + 매일) du ди = - Pgx dy др dx ²u Fu u + fl + ax2 ay² az2 - дх - Əz 1 2 3 4 5 6 7 8 9 Assumption Flow is in the horizontal direction (e.g. patient lying on hospital bed) Flow is unidirectional in the x-direction Steady flow We consider the flow to be between two flat, infinitely wide plates There is no pressure gradient Flow is axisymmetric Term(s) in equation

Chapter 16 Solutions

Fundamentals of Physics

Ch. 16 - Prob. 1Q Ch. 16 - Prob. 2Q Ch. 16 - Prob. 3Q Ch. 16 - Prob. 4Q Ch. 16 - Prob. 5Q Ch. 16 - The amplitudes and phase differences for four...Ch. 16 - Prob. 7Q Ch. 16 - a If a standing wave on a siring is given by y't =...Ch. 16 - Prob. 9Q Ch. 16 - If you set up the seventh harmonic on a string, a...

Ch. 16 - Prob. 11Q Ch. 16 - If a wave yx, t = 6.0mm sinkx 600 rad/st ...Ch. 16 - Prob. 2P Ch. 16 - A wave has an angular frequency of 110 rad/s and a...Ch. 16 - Prob. 4P Ch. 16 - A sinusoidal wave travels along a string. The time...Ch. 16 - Prob. 6P Ch. 16 - A transverse sinusoidal wave is moving along a...Ch. 16 - Prob. 8P Ch. 16 - Prob. 9P Ch. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 11P Ch. 16 - GO The function yx, t = 15.0 cm cosx 15 t, with x...Ch. 16 - Prob. 13P Ch. 16 - The equation of a transverse wave on a string is y...Ch. 16 - Prob. 15P Ch. 16 - The speed of a transverse wave on a string is 170...Ch. 16 - The linear density of a string is 1.6 104 kg/m. A...Ch. 16 - Prob. 18P Ch. 16 - SSM What is the speed of a transverse wave in a...Ch. 16 - The tension in a wire clamped at both ends is...Ch. 16 - ILW A 100 g wire is held under a tension of 250 N...Ch. 16 - A sinusoidal wave is traveling on a string with...Ch. 16 - SSM ILW A sinusoidal transverse wave is traveling...Ch. 16 - Prob. 24P Ch. 16 - A uniform rope of mass m and length L hangs from a...Ch. 16 - A string along which waves can travel is 2.70 m...Ch. 16 - Prob. 27P Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Prob. 31P Ch. 16 - What phase difference between two identical...Ch. 16 - Prob. 33P Ch. 16 - Prob. 34P Ch. 16 - SSM Two sinusoidal waves of the same frequency...Ch. 16 - Four waves are to be sent along the same string,...Ch. 16 - GO These two waves travel along the same string:...Ch. 16 - Two sinusoidal waves of the same frequency are to...Ch. 16 - Two sinusoidal waves of the same period, with...Ch. 16 - Two sinusoidal waves with identical wavelengths...Ch. 16 - Prob. 41P Ch. 16 - Prob. 42P Ch. 16 - SSM WWW What are a the lowest frequency, b the...Ch. 16 - A 125 cm length of string has mass 2.00 g and...Ch. 16 - Prob. 45P Ch. 16 - String A is stretched between two clamps separated...Ch. 16 - Prob. 47P Ch. 16 - If a transmission line in a cold climate collects...Ch. 16 - Prob. 49P Ch. 16 - Prob. 50P Ch. 16 - Prob. 51P Ch. 16 - A rope, under a tension of 200 N and fixed at both...Ch. 16 - Prob. 53P Ch. 16 - Prob. 54P Ch. 16 - GO The following two waves are sent in opposite...Ch. 16 - A standing wave pattern on a string is described...Ch. 16 - A generator at one end of a very long string...Ch. 16 - GO In Fig. 16-42, a string, tied to a sinusoidal...Ch. 16 - GO In Fig. 16-43, an aluminum wire, of length L1 =...Ch. 16 - Prob. 60P Ch. 16 - Prob. 61P Ch. 16 - Prob. 62P Ch. 16 - A wave has a speed of 240 m/s and a wavelength of...Ch. 16 - The equation of a transverse wave traveling alone...Ch. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 66P Ch. 16 - Prob. 67P Ch. 16 - Prob. 68P Ch. 16 - Prob. 69P Ch. 16 - Prob. 70P Ch. 16 - A transverse sinusoidal wave is generated at one...Ch. 16 - Prob. 72P Ch. 16 - Prob. 73P Ch. 16 - Prob. 74P Ch. 16 - a What is the fastest transverse wave that can be...Ch. 16 - A standing wave results from the sum of two...Ch. 16 - Prob. 77P Ch. 16 - Prob. 78P Ch. 16 - Prob. 79P Ch. 16 - When played in a certain manner, the lowest...Ch. 16 - A sinusoidal transverse wave traveling in the...Ch. 16 - Two sinusoidal waves of the same wavelength travel...Ch. 16 - Prob. 83P Ch. 16 - Prob. 84P Ch. 16 - Prob. 85P Ch. 16 - a Write an equation describing a sinusoidal...Ch. 16 - A wave on a string is described by yx, t = 15.0...Ch. 16 - Prob. 88P Ch. 16 - Two waves are described by...Ch. 16 - Prob. 90P Ch. 16 - SSM In a demonstration, a 1.2 kg horizontal rope...Ch. 16 - Prob. 92P Ch. 16 - A traveling wave on a string is described by...Ch. 16 - Prob. 94P Ch. 16 - Prob. 95P Ch. 16 - Consider a loop in the standing wave created by...

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.