Domanda del libro di testo
The displacement of an oscillating object as a function of time is shown in Fig. E14.4. What is (c) the period? (d) the angular frequency of this motion?
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Ch 14: Periodic Motion
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 14, Problema 1a
Music. When a person sings, his or her vocal cords vibrate in a repetitive pattern that has the same frequency as the note that is sung. If someone sings the note B flat, which has a frequency of 466 Hz, how much time does it take the person's vocal cords to vibrate through one complete cycle, and what is the angular frequency of the cords?
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To find the time it takes for one complete cycle of vibration, we need to calculate the period of the vibration. The period \( T \) is the reciprocal of the frequency \( f \). Use the formula: \( T = \frac{1}{f} \).
Substitute the given frequency of the note B flat, which is 466 Hz, into the formula: \( T = \frac{1}{466} \). This will give you the period in seconds.
Next, to find the angular frequency \( \omega \), use the relationship between angular frequency and frequency: \( \omega = 2\pi f \).
Substitute the frequency \( f = 466 \) Hz into the formula: \( \omega = 2\pi \times 466 \). This will give you the angular frequency in radians per second.
These calculations will provide you with the time for one complete cycle and the angular frequency of the vocal cords when singing the note B flat.
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Frequency
Frequency refers to the number of cycles or vibrations per unit of time, typically measured in Hertz (Hz). In this context, the frequency of 466 Hz indicates that the vocal cords complete 466 cycles every second when singing the note B flat. Understanding frequency is crucial for determining the time taken for one complete cycle.
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05:08
Circumference, Period, and Frequency in UCM
Period
The period is the duration of time it takes to complete one full cycle of vibration. It is the reciprocal of frequency, calculated as 1/frequency. For a frequency of 466 Hz, the period is approximately 0.00215 seconds, indicating the time taken for the vocal cords to complete one cycle.
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06:28Satellite Period
Angular Frequency
Angular frequency is a measure of how quickly an object rotates or oscillates, expressed in radians per second. It is related to the frequency by the formula ω = 2πf, where ω is the angular frequency and f is the frequency. For a frequency of 466 Hz, the angular frequency is approximately 2928 radians per second, describing the rate of oscillation of the vocal cords.
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Percorso guidato
05:08Circumference, Period, and Frequency in UCM
Pratica correlata
Domanda del libro di testo
A machine part is undergoing SHM with a frequency of 4.00 Hz and amplitude 1.80 cm. How long does it take the part to go from x = 0 to x = -1.80 cm ?
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Domanda del libro di testo
The displacement of an oscillating object as a function of time is shown in Fig. E14.4. What is (a) the frequency? (b) the amplitude?
2419
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