Explanation Given data: M = 12 kg , L = 90 cm and m = 5.0 g . Formula used: Write the expression for wave speed ( v ) v = T s μ (1) Here, T s is the tension, and μ is the linear density. Write the expression for linear density ( μ ) . μ = m L (2) Here, L is the length, and m is the mass of a steel. Write the expression for tension ( T s ) . T s = M g (3) Here, M is the mass of a hanging sculpture, and g is the acceleration due to gravity, which is known as 9.8 m s 2 . Write the expression for velocity ( v ) . v = λ f (4) Here, λ is the wavelength, and f is the frequency. Write the expression for wavelengths of standing wave ( λ m ) . λ m = 2 L m (5) Here, L is the length, and m is the mode number that is 1,2,3,4. Explanation: Substitute 5.0 g for m and 90 cm for L in equation (2), μ = 5.0 g 90 cm = ( 5.0 1000 kg ) 90 ×10 − 2 m { ∵ 1 cm = 1 × 10 − 2 m ∵ 1 g = 1 1000 kg } = 0.005 kg 90 ×10 − 2 m = 5.555 ×10 − 3 kg m Modify equation (1) for wave speed on the steel wire. v wire = T s μ Substitute M g for T s , v wire = M g μ Substitute 12 kg for M , 9

3rd Edition

ISBN: 9780321989246

Author: Knight

Publisher: PEARSON CO

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Chapter 16, Problem 55GP

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Chapter 16, Problem 54GP

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Ch. 16 - Light can pass easily through water and through...Ch. 16 - Ocean waves are partially reflected from the...Ch. 16 - A string has an abrupt change in linear density at...Ch. 16 - A guitarist finds that the pitch of one of her...Ch. 16 - Certain illnesses inflame your vocal cords,...Ch. 16 - Figure Q16.6 shows a standing wave on a string...Ch. 16 - Figure Q16.7 shows a standing sound wave in a tube...Ch. 16 - A typical flute is about 66 cm long. A piccolo is...Ch. 16 - Some pipes on a pipe organ are open at both ends,...Ch. 16 - A friends voice sounds different over the...

Ch. 16 - Suppose you were to play a trumpet after breathing...Ch. 16 - If you pour liquid in a tall, narrow glass, you...Ch. 16 - When you speak after breathing helium, in which...Ch. 16 - Sopranos can sing notes at very high...Ch. 16 - A synthesizer is a keyboard instrument that can be...Ch. 16 - If a cold gives you a stuffed-up nose, it changes...Ch. 16 - A small boy and a grown woman both speak at...Ch. 16 - At x = 3 cm, what is the earliest time that y will...Ch. 16 - Two sinusoidal waves with the same amplitude A and...Ch. 16 - A student in her physics lab measures the...Ch. 16 - Prob. 23MCQ Ch. 16 - Resonances of the ear canal lead to increased...Ch. 16 - The frequency of the lowest standing-wave mode on...Ch. 16 - Suppose you pluck a string on a guitar and it...Ch. 16 - Figure P16.11 is a snapshot graph at t = 0 s of...Ch. 16 - Figure P16.2 is a snapshot graph at t = 0 s of two...Ch. 16 - Figure P16.3a is a snapshot graph at t = 0 s of...Ch. 16 - Figure P16.4 is a snapshot graph at t = 0 s of two...Ch. 16 - Figure P16.4 is a snapshot graph at t = 0 s of two...Ch. 16 - Figure P16.6 is a snapshot graph at t = 0 s of a...Ch. 16 - At t = 0 s, a small upward (positive y) pulse...Ch. 16 - You are holding one end of an elastic cord that is...Ch. 16 - A 2.0-m-long string is fixed at both ends and...Ch. 16 - Figure P16.10 shows a standing wave oscillating at...Ch. 16 - A bass guitar string is 89 cm long with a...Ch. 16 - Prob. 12P Ch. 16 - a. What are the three longest wavelengths for...Ch. 16 - A 121-cm-long, 4.00 g string oscillates in its m =...Ch. 16 - Prob. 15P Ch. 16 - A violin string has a standard length of 32.8 cm....Ch. 16 - The lowest note on a grand piano has a frequency...Ch. 16 - An experimenter finds that standing waves on a...Ch. 16 - Ocean waves of wavelength 26 m are moving directly...Ch. 16 - Prob. 20P Ch. 16 - The contrabassoon is the wind instrument capable...Ch. 16 - Figure P16.22 shows a standing sound wave in an...Ch. 16 - Prob. 23P Ch. 16 - An organ pipe is made to play a low note at 27.5...Ch. 16 - The speed of sound in room temperature (20C) air...Ch. 16 - Parasaurolophus was a dinosaur whose...Ch. 16 - A drainage pipe running under a freeway is 30.0 m...Ch. 16 - Some pipe organs create sounds lower than humans...Ch. 16 - Although the vocal tract is quite complicated, we...Ch. 16 - You know that you sound better when you sing in...Ch. 16 - A child has an ear canal that is 1.3 cm long. At...Ch. 16 - When a sound wave travels directly toward a hard...Ch. 16 - The first formant of your vocal system can be...Ch. 16 - When you voice the vowel sound in hat, you narrow...Ch. 16 - The first and second formants when you make an ee...Ch. 16 - Two loudspeakers in a 20C room emit 686 Hz sound...Ch. 16 - Two loudspeakers emit sound waves along the...Ch. 16 - In noisy factory environments, its possible to use...Ch. 16 - Two identical loudspeakers separated by distance d...Ch. 16 - Two identical loudspeakers 2.0 m apart are...Ch. 16 - Prob. 42P Ch. 16 - Musicians can use beats to tune their instruments....Ch. 16 - A student waiting at a stoplight notices that her...Ch. 16 - Two strings are adjusted to vibrate at exactly 200...Ch. 16 - A childs train whistle replicates a classic...Ch. 16 - A flute player hears four beats per second when...Ch. 16 - Prob. 48GP Ch. 16 - In addition to producing images, ultrasound can be...Ch. 16 - An 80-cm-long steel string with a linear density...Ch. 16 - Tendons are, essentially, elastic cords stretched...Ch. 16 - A string, stretched between two fixed posts, forms...Ch. 16 - Spiders may tune strands of their webs to give...Ch. 16 - Prob. 54GP Ch. 16 - Prob. 55GP Ch. 16 - Lake Erie is prone to remarkable seichesstanding...Ch. 16 - Prob. 57GP Ch. 16 - Prob. 58GP Ch. 16 - A 40-cm-long tube has a 40-cm-long insert that can...Ch. 16 - The width of a particular microwave oven is...Ch. 16 - Two loudspeakers located along the x-axis as shown...Ch. 16 - Two loudspeakers 42.0 m apart and facing each...Ch. 16 - You are standing 2.50 m directly in front of one...Ch. 16 - Two loudspeakers, 4.0 m apart and facing each...Ch. 16 - Piano tuners tune pianos by listening to the beats...Ch. 16 - A flutist assembles her flute in a room where the...Ch. 16 - A Doppler blood flowmeter emits ultrasound at a...Ch. 16 - An ultrasound unit is being used to measure a...Ch. 16 - Prob. 70MSPP Ch. 16 - Prob. 71MSPP Ch. 16 - Prob. 72MSPP Ch. 16 - Prob. 73MSPP

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