Explanation Section 1: To determine: The angular frequency of the transverse wave. Answer: The angular frequency of the transverse wave is 433.5 rad / s . Given Info: The frequency of the transverse wave is 69.0 Hz the speed of the transverse wave is 406 m / s the tension in the wire is 94.0 N and the power carried by the wave is 0.365 W . Formula to calculate the angular frequency is, ω = 2 π f f is the frequency of vibration. ω is the angular frequency. Substitute 69.0 Hz for f to find ω . ω = 2 π × 69.0 Hz = 433.5 rad / s Thus, the angular frequency of the transverse wave 433.5 rad / s . Section 2: To determine: The mass per unit length of the transverse wave. Answer: The mass per unit length of the transverse wave is 5.703 × 10 − 4 kg / m . Given Info: The frequency of the transverse wave is 69.0 Hz the speed of the transverse wave is 406 m / s the tension in the wire is 94.0 N and the power carried by the wave is 0.365 W . Formula to calculate the mass per unit length is, ν = F μ ν is the wave speed. F is the tension in the rope. μ is the mass per unit length. Rearranging the equation, μ = F ν 2 Substitute 94.0 N for F and 406 m / s for ν to find μ . μ = 94.0 N ( 406 m / s ) 2 μ = 5.703 × 10 − 4 kg ⋅ m -1 Thus, the mass per unit length of the transverse wave is 5.703 × 10 − 4 kg ⋅ m -1 . Section 3: To determine: The amplitude of the transverse wave

University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)

14th Edition

ISBN: 9780134265414

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

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Chapter 15, Problem 15.23E

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The amplitude of the transverse wave.

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University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)

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