PHYSICS 5B Lecture Notes - Lecture 19: Normal Mode, Standing Wave, Sound

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orangemole240

9 Jun 2018

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Standing waves on astring

n =3 anti

nodes

§§÷"f¥¥ %§

.tl?Eef..fMni#otnoaes=nti

nodes

L= nat

Xn= ¥

n=1,2 ,3,

... .

fn =¥

fn =n¥ n=L fundamental mode

wave motion on astretched string (ch 15 .3)

fgti |-

÷%ltt

"Tension

In the string ts

v=¥

mass per unit length =µ

the 'Tis tangent to the are .

View as apart of acircle

Fr =The centripetal force

=2T Sino =2To small 0

S=20 .R

m= µ.s=µ1220

.:G =M2Rµ

Fr =2To =

ITTRIM

=IT

Fr =Ma =

M¥2

#µ

v2= F- ⇒v= FF

ex .In an experiment on Standing waves ,astring 92.4 cm long Is attitude to The prong of an electrically driven

tuning tork ,which vibrates perpendicular to the length of the string at frequency of 60 Hz .The mass of the string

is 44.2 g. .

How much Tension must the string under if it Is vibrated with 5nodes

tffhj :

"In's =421=2 ,

x= tz =92¥ =46.2 cm

V=If =0.462 ×60 =27.22 (%)

v= F¥ ,µ= It =80.942¥ =0.0478 ↳lm

T= V2µ =(27.725 ×0.0478=36 .8N

Standing wave In music instruments

String :oscillations on

Strings

(guitar .piano ,violin ,harp )

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Document Summary

Standing waves on a string n =3 nodes anti. =l fundamental mode wave motion on a stretched string ( ch. In an experiment on standing waves a string. The prong of an electrically driven tuning tork which vibrates perpendicular to the length of the string at frequency of. 5 nodes n "s = 421=2 , x= tz = 92 = Strong standing waves pushthe surrounding air back and forth to produce sound wave f wind instruments. : standing waves in air columns flute . organs) i. mg@mnd. i. Xn= n pipe has a length of. The pipe is open at each end . what are. The three frequency determine in (a) if the pipe is closed at one end . The periodic varies in intensity at a given point of space due to the superposition of two waves having slightly different. Y , ( t ) yzlt ) sin. 2=2 sin ( a ) ( os ( a )

Related Questions

A transverse sinusoidal wave is generated at one end of a long,horizontal string by a bar that moves up and down through adistance of 2.00 cm. The motion is continuous and is repeatedregularly 110 times per second. The string has linear density 130g/m and is kept under a tension of 110.0 N.
(a) Find the maximum value of the transverse speed u.=691cm/s
(b) Find the maximum value of the transverse component of thetension.
(c) Show that the two maximum values calculated above occur at thesame phase values for the wave. (Do this on paper. Your instructormay ask you to turn in this work.) What is the transversedisplacement y of the string at these phases?
(d) What is the maximum rate of energy transfer along thestring?
(e) What is the transverse displacement y when this maximumtransfer occurs?
(f) What is the minimum rate of energy transfer along the string?(g) What is the transverse displacement y when this minimumtransfer occurs?

Please solve this as early as possible.

(1). Light waves are electromagnetic waves that traval at 3. 00 x 10^8 m/s. The aye Is most sensitive to light having a wavelength of 5. 50 x 10^-7m. {a} Find the frequency of this light wave Hz =

Find the frequency of this light wave (HZ)
and its period(S).

2.The distance between two successive minima of a transverse wave is 3.00 m. Five full crest Intervals of the wave pass given point along the direction of travel every

14.2 s.

(a) Find the frequency of the wave Hz

(b} Find the wave speed m/s
3.
A harmonic wave bs traveling slong a repe It is observed that the oscillator that generates the wave completes 36.0 vibrations In 35.0 s Also, a given maximum travels 430 cm along the rope in 9.0 s What Is the wavelength in cm ?
4.
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a Frequency of

8.54 x 10^4 Hz, and if the speed of sound in air is 343 m/s, what is the smallest Insect a bat can detect in mm ?
5. A cork on the surface of 5 pond bobs up and down two times per second an Hippies having a wavelength of 9.50 cm .If the cork is 11.5 m fram shore, how long does it take a tipple passing the cork to reach the shore ?
( )S.

6. Ocean waves are traveling te the east at 4. 7 m/s with a distance of 19 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat Is at anchor?
( ) HZ

(b) With what frequency do the waves hit the front of a boat when the boat Is moving westward at 1.5 m/s?
( ) HZ

A circus performer stretches s tightrope between two towers. He strikes ane end of the rope and sends a wave atong it toward the other tower He notes that It takes the

wave 0. 840 s to reach the opposite tower, 20.0 m away If s 1.00-m length of the rope has a mass of 0.260 kg, find the tension In the tightrope .
( ) N ?.

8. Transverse waves with a speed of 52. 0 m/s are to be produced on a stretched string A 5 .20-m length of string with a total mass of 0.0600 kg Is used.

{a) What is the required tension in the string?
( )N
(b} Calculate the wave speed in the string if the tension Is 8. 00 N.
( )m/s . ?

9.A wave of amplitude 0 .53 m interferes with a second wave of amplitude 0 .19 m traveling in the same direction.

(a) What Is the largest resultant amplitude that can occur, and under what conditions will this maximum arise?

( ) m

1.The two waves interfere destructively,

2.The two waves interfere constructively.

(b) What is the smallest resultant amplitude that cah occur, and under what conditions will this minimum arise?
( ) m

1.The two waves interfere destructively

2.The two waves interfere constructively

10.

A certain tuning fork vibrates at a frequency of 161 Hz while each tip of Its two prongs has an amplitude of 0. 724 mm .

(a) What ts the per od of this motlon?
( )ms .

(b) Find the wavelength of the sound produced by the vibrating fork taking the speed of sound in alr to be 343 m/s.
( ) m .

manya12

Please solve all questions as early as possible.

(1). Light waves are electromagnetic waves that traval at 3. 00 x 10^8 m/s. The aye Is most sensitive to light having a wavelength of 5. 50 x 10^-7m. {a} Find the frequency of this light wave Hz =

Find the frequency of this light wave (HZ)
and its period(S).

2.The distance between two successive minima of a transverse wave is 3.00 m. Five full crest Intervals of the wave pass given point along the direction of travel every

14.2 s.

(a) Find the frequency of the wave Hz

(b} Find the wave speed m/s
3.
A harmonic wave bs traveling slong a repe It is observed that the oscillator that generates the wave completes 36.0 vibrations In 35.0 s Also, a given maximum travels 430 cm along the rope in 9.0 s What Is the wavelength in cm ?
4.
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a Frequency of

8.54 x 10^4 Hz, and if the speed of sound in air is 343 m/s, what is the smallest Insect a bat can detect in mm ?
5. A cork on the surface of 5 pond bobs up and down two times per second an Hippies having a wavelength of 9.50 cm .If the cork is 11.5 m fram shore, how long does it take a tipple passing the cork to reach the shore ?
( )S.

7. A circus performer stretches s tightrope between two towers. He strikes ane end of the rope and sends a wave atong it toward the other tower He notes that It takes the

wave 0. 840 s to reach the opposite tower, 20.0 m away If s 1.00-m length of the rope has a mass of 0.260 kg, find the tension In the tightrope .
( ) N ?.

10. A certain tuning fork vibrates at a frequency of 161 Hz while each tip of Its two prongs has an amplitude of 0. 724 mm .

(a) What ts the per od of this motion?
( )ms .

(b) Find the wavelength of the sound produced by the vibrating fork taking the speed of sound in alr to be 343 m/s.
( ) m .

manya12

PHYSICS 5B Lecture Notes - Lecture 19: Normal Mode, Standing Wave, Sound

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