Download the App!

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

Question

Answered step-by-step

Two trains emit $516-\mathrm{Hz}$ whistles. One train is stationary. The conductor on the stationary train hears a $3.5-\mathrm{Hz}$ beat frequency when the other train approaches. What is thespeed of the moving train?

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Zachary Warner

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics 101 Mechanics

Chapter 16

Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

Lectures

08:15

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

04:49

In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

02:15

Two trains emit 508-Hz whi…

02:34

Two trains emit $424-\math…

03:08

Two trains are moving towa…

01:32

Two trains emit 502 Hz whi…

07:48

Jane waits on a railroad p…

02:07

What is the frequency of t…

03:01

A train on one track moves…

03:11

Two train whistles have id…

A railroad train is travel…

03:03

A train approaching a plat…

03:36

A train moving toward a so…

that two trains amid a frequency of 516 meters for their whistle. It says that one untrained is stationary. The conductor on the stationary train. Here's a 3.5 hurt beat frequency when the other train approaches. What is the speed of the moving train? So I wrote down here what we were told. We were told that the frequency of the train is 516. Hertz. Have some tea. That's the whistle. And then the frequency heard by the conductor, which I call F privates 519.5 hertz. That's because the Doppler shift is 3.5 hertz. So 5 16 plus 3.5 is 519.5 on the speed of sound. In the medium visa, Bess is gonna be 343 meters per second. Okay, so F crime, then, is equal to using the Doppler shift equation. The whistle F t times the speed of sound in the medium, divided by a little neater. Excuse me. Piece of s divided by He's a mess. Minus lost You the train. Okay, so we know everything here except for the velocity of the train which is what we're trying to find kind of velocity of the train if we saw for it is equal to Visa. Best speed of sound Times one minus The ratio of the frequency of the horn emitted by the train to the frequency the new frequency F crime caused by the doctor ship. Okay, so if you plug into this equation everything that we know, we find that this equals 2.31 meters per second is the velocity of the train box set in is our solution.

View More Answers From This Book

Find Another Textbook