Solutions P140 DEC 10

# Solutions P140 DEC 10 - SOLUTIONS MONDAY DECEMBER 10 16.13...

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SOLUTIONS – MONDAY, DECEMBER 10 16.13. IDENTIFY: For transverse waves, trans . F v μ = For longitudinal waves, long . Y v ρ = SET UP: The mass per unit length is related to the density (assumed uniform) and the cross-section area A by . μ A ρ = EXECUTE: gives long trans 30 vv = 30 YF ρμ = and 900 . Υ F ρ Αρ = Therefore, . 900 Υ FA = EVALUATE: Typical values of Y are on the order of so the stress must be about If A is on the order of this requires a force of about 100 N. 11 10 Pa, 8 10 Pa. 26 1 mm 10 m , = 2 16.20. IDENTIFY and SET UP: Apply the relation that is derived in Example 16.10. 21 2 1 (10 dB) log ( / ) II ββ −= EXECUTE: (a) ( ) 4 (10 dB)log 6.0 dB I I β Δ= = (b) The total number of crying babies must be multiplied by four, for an increase of 12 kids. EVALUATE: For 2 , 1 α = where is some factor, the increase in sound intensity level is (10 dB)log . For 4, = 6.0 dB. 16.34. IDENTIFY: Constructive interference occurs when the difference of the distances of each source from point P is an integer number of wavelengths. The interference is destructive when this difference of path lengths is a half
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