Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A wire with mass 40.0 g is stretched so that its ends are tieddown at points 80.0 cm apart. The wire vibrates in its fundamentalmode with frequency 60.0 Hz and with an amplitude of 0.300 cmat the antinodes. (a)What is the speed of propagation of transversewaves in the wire? (b) Compute the tension in the wire.

a) 96 $\mathrm{m} / \mathrm{s}$b) 460.8 $\mathrm{N}$

Physics 101 Mechanics

Chapter 12

Mechanical Waves and Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

Lectures

08:15

In physics, sound is a vib…

04:49

In physics, a traveling wa…

09:41

A wire with mass 40.0 g is…

05:08

A wire with mass 40.0 $\ma…

02:31

A transverse traveling wav…

06:37

A horizontal wire is tied …

11:04

(a) Determine the speed of…

03:15

A 1.50 $\mathrm{m}$ wire h…

01:43

Transverse waves with a sp…

00:34

When a particular wire is …

Two wires, each of length …

02:55

A thin, 75.0-cm wire has a…

01:03

A stecl wire 4.00 $\mathrm…

04:16

A thin, 75.0 -cm wire has …

04:53

A horizontal wire is stret…

01:06

A 2.40-m wire has a mass o…

05:02

A strong string of mass 3.…

03:05

03:38

A $\mathrm{A} 75.0 \mathrm…

02:37

$\bullet$ $\bullet \mathrm…

04:46

A piano wire with mass 3.0…

02:02

A string on the violin has…

so I want the speed of propagation of the way then then the force tension in the wire. We know that mass equals 40 grams. So this will be 0.0 for zero kilograms and then, you know the length is equal to 80 centimeters or we can say 0.80 meters. We know that the frequency is going to be equal to 60 hertz, and we know the amplitude is equaling point Siri's 00 centimeters or we can simply say 00.3 meters. Ah, we know that for a the velocity, the speed of propagation is going to be equal to the force. Tension divided by mu, the linear density. And we know that new equal simply the mass divided by the length. So we can say that the fundamental frequency is equal to the velocity divided by two times the length. So we consider the frequency is going to be equal to two times the length, times the fundamental frequency and say that the equals two times point eight, time 60 and this is giving us 96.0 meters per second. So this will be your answer for party and then for part B. They're asking us for the force. So the force tension is going to be equal to Mu V squared. Or we can say V squared times the mass divided by the length. And this will be 96 squared times the mass of point 04 divided by the length of 0.8 meters and the force. Tension is going to be equal to 461 Newton's. So this will be our force. Tension in the wire That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In physics, sound is a vibration that typically propagates as an audible wav…

In physics, a traveling wave is a wave that propogates without a constant sh…

01:45

$\cdot$ A woman with mass 50.0 $\mathrm{kg}$ is standing on the rim of a lar…

07:03

A test driver at Incredible Motors, Inc., is testing a new model car having …

02:41

You need to connect a 68 $\mathrm{k} \Omega$ resistor and one other resistor…

01:56

$\bullet$ A student measures theforce required to stretch a springby…

05:33

A bat strikes a 0.145 kg baseball. Just before impact, the ball is traveling…

01:49

The freeway blues! When you normally drive the freeway between Sacramento an…

04:43

A playground merry-go-round has a radius of 4.40 $\mathrm{m}$ and a moment o…

04:51

Figure 2.48 shows the $x(\mathrm{cm})$ position $x$ of a crawling spider as …

04:35

$\bullet$ When a mass $M$ hangs from a vertical wire of length $L$waves …

02:13

$\cdot$ A 1.50 -m-long rope is stretched between two supports with a tension…