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Chapter 6: Q82GP (page 138)

Question: A particular vehicle produces sound by setting up the fundamental standing wave in an air column 7.10 cm long. The tube is closed at one end. The whistle blower is riding in a car moving away from you at 25 m/s. What frequency do you hear?

Short Answer

Expert verified

The frequency of hearing is \(1130\;{\rm{Hz}}\).

Step by step solution

01

Determination of frequency of sound

For a moving object, the hearing frequency depends upon the velocities of the object and the velocity of sound. This effect is known as Doppler’s shift.

02

Given Information

Given data:

The length of air column is \(l = 7.10\;cm\).

The speed of the car is \({v_{{\rm{source}}}} = 25\;{{\rm{m}}}\)/s.

The velocity of sound is vsnd = 343 m/s.

03

Find the frequency of the sound wave using Doppler’s effect

The expression for the fundamental frequency is given as:

\({f_1} = \frac{{{v_{{\rm{snd}}}}}}{{4l}}\)

The frequency in a closed tube with the Doppler’s shift for a source moving away from the stationary observer is given as:

Thus, the frequency of hearing is \(1130\;{\rm{Hz}}\).

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Most popular questions from this chapter

The space shuttle launches an 850-kg satellite by ejecting it from the cargo bay. The ejection mechanism is activated and is in contact with the satellite for 4.8 s to give it a velocity of\(0.30\;{\rm{m/s}}\)in the x direction relative to the shuttle. The mass of the shuttle is 92,000 kg. (a) Determine the component of velocity\({v_{\rm{f}}}\)of the shuttle in the minus x direction resulting from the ejection. (b) Find the average force that the shuttle exerts on the satellite during the ejection.

A heavy ball is hung from the ceiling by a steel wire. The instructor pulls the ball back and stands against the wall with the ball against his chin. To avoid injury, the instructor is supposed to release the ball without pushing it (Fig. 6–33). Why?

If the net force on a system is zero, is the net torque also zero? If the net torque on a system is zero, is the net force zero? Explain and give examples.

Consider a force \(F{\bf{ = 80}}\;{\bf{N}}\) applied to a beam as shown in Fig. 8–37. The length of the beam is \(l{\bf{ = 5}}{\bf{.0}}\;{\bf{m}}\) and \(\theta {\bf{ = 3}}{{\bf{7}}^{\bf{o}}}\), so that \(x{\bf{ = 3}}{\bf{.0}}\;{\bf{m}}\) and \(y{\bf{ = 4}}{\bf{.0}}\;{\bf{m}}\). Of the following expressions, which ones give the correct torque produced by the force around point P?

(a) 80 N.

(b) (80 N)(5.0 m).

(c) (80 N)(5.0 m)(sin 37°).

(d) (80 N)(4.0 m).

(e) (80 N)(3.0 m).

(f) (48 N)(5.0 m).

(g) (48 N)(4.0 m)(sin 37°).

FIGURE 8-37MisConceptual Question 5.

Suppose you lift a suitcase from the floor to a table. The work you do on the suitcase depends on which of the following: (a) whether you lift it straight up or along a more complicated path, (b) the time the lifting takes, (c) the height of the table, and (d) the weight of the suitcase?
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