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454
TOPIC 13 | Vibrations and Waves
43. Light waves are electromagnetic waves that travel at 3.00 X
10° m/s. Thẹ eye is most sensitive to light having a wave-
length of 5.50 × 10-7 m. Find (a) the frequency of this light
wave and (b) its period.
54.
la
is
IndW
44. The distance between two successive minima of a transverse
wave is 2.76 m. Five crests of the wave pass a given point along
the direction of travel every 14.0 s. Find (a) the frequency of
the wave and (b) the wave speed.
55. А
fr
45. V
that the oscillator that generates the wave completes 40.0 vibra-
tions in 30.0 s. Also, a given maximum travels 425 cm along the
rope in 10.0 s. What is the wavelength?
A harmonic wave is traveling along a rope. It is observed
T0 ST
00 h
56. А
46. BIO 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 60.0 X 10 Hz
and the speed of sound in air is 343 m/s, what is the smallest
di le
insect a bat can detect?
St
57.
47. Orchestra instruments are commonly tuned to match an
A-note played by the principal oboe. The Baltimore Symphony
bobOrchestra tunes to an A-note at 440 Hz while the Boston Sym-
ophony Orchestra tunes to 442 Hz. If the speed of sound is con-
stant at 343 m/s, find the magnitude of difference between
the wavelengths of these two different A-notes.
a
48. Ocean waves are traveling to the east at 4.0 m/s with
20 0 m bet
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Transcribed Image Text:454 TOPIC 13 | Vibrations and Waves 43. Light waves are electromagnetic waves that travel at 3.00 X 10° m/s. Thẹ eye is most sensitive to light having a wave- length of 5.50 × 10-7 m. Find (a) the frequency of this light wave and (b) its period. 54. la is IndW 44. The distance between two successive minima of a transverse wave is 2.76 m. Five crests of the wave pass a given point along the direction of travel every 14.0 s. Find (a) the frequency of the wave and (b) the wave speed. 55. А fr 45. V that the oscillator that generates the wave completes 40.0 vibra- tions in 30.0 s. Also, a given maximum travels 425 cm along the rope in 10.0 s. What is the wavelength? A harmonic wave is traveling along a rope. It is observed T0 ST 00 h 56. А 46. BIO 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 60.0 X 10 Hz and the speed of sound in air is 343 m/s, what is the smallest di le insect a bat can detect? St 57. 47. Orchestra instruments are commonly tuned to match an A-note played by the principal oboe. The Baltimore Symphony bobOrchestra tunes to an A-note at 440 Hz while the Boston Sym- ophony Orchestra tunes to 442 Hz. If the speed of sound is con- stant at 343 m/s, find the magnitude of difference between the wavelengths of these two different A-notes. a 48. Ocean waves are traveling to the east at 4.0 m/s with 20 0 m bet
are (a) the translati
23. The wheel in the simplified engine of Figure P13.23 has radius
A = 0.250 m and rotates with angular frequency w = 12.0 rad/s.
At t = 0, the piston is located at x = A. Calculate the piston's
(a) position, (b) velocity, and (c) acceleration at t = 1.15 s.
of motion in hertz, and (c) the angular speed of
on a
de is
passes
stant,
tem.
Piston
A
x = -A !
x(t)
ce.
ed
li-
d.
ad
Figure P13.23
24. The period of motion of an object-spring system is T= 0.528 s
when an object of mass m =
Find (a) the frequency of motion in hertz and (b) the force
constant of the spring. (c) If the total energy of the oscillating
motion is 0.234 J, find the amplitude of the oscillations.
TA vertical spring stretches 3.9 cm when a 10.-g object is
hung from it. The object is replaced with a block of mass 25 g
that oscillates up and down in simple harmonic motion. Cal-
culate the period of motion.
238 g is attached to the spring.
-ב
r-
25.
26. V When four people with a combined mass of 320 kg sit down
in a 2.0 X 10°-kg car, they find that their weight compresses the
springs an additional 0.80 cm. (a) What is the effective force
trin
Unless otherwise noted, all content on this page is © Cengage Learning.
expand button
Transcribed Image Text:are (a) the translati 23. The wheel in the simplified engine of Figure P13.23 has radius A = 0.250 m and rotates with angular frequency w = 12.0 rad/s. At t = 0, the piston is located at x = A. Calculate the piston's (a) position, (b) velocity, and (c) acceleration at t = 1.15 s. of motion in hertz, and (c) the angular speed of on a de is passes stant, tem. Piston A x = -A ! x(t) ce. ed li- d. ad Figure P13.23 24. The period of motion of an object-spring system is T= 0.528 s when an object of mass m = Find (a) the frequency of motion in hertz and (b) the force constant of the spring. (c) If the total energy of the oscillating motion is 0.234 J, find the amplitude of the oscillations. TA vertical spring stretches 3.9 cm when a 10.-g object is hung from it. The object is replaced with a block of mass 25 g that oscillates up and down in simple harmonic motion. Cal- culate the period of motion. 238 g is attached to the spring. -ב r- 25. 26. V When four people with a combined mass of 320 kg sit down in a 2.0 X 10°-kg car, they find that their weight compresses the springs an additional 0.80 cm. (a) What is the effective force trin Unless otherwise noted, all content on this page is © Cengage Learning.
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