HW11_Sol_F10

HW11_Sol_F10 - Nov. 8, 2010 PHYS 2101 HW#11 WileyPlus...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Nov. 8, 2010 PHYS 2101 HW#11 WileyPlus Problem Solutions 1 HW #11 Solutions – or at least most of them… (USING BOOK VALUES 9 th Edition in problems; problem # indicated by []) 1) [16-CQ4] 2) [16-3] . (a) The angular wave number is 1 22 3.49m . 1.80m k ππ == = λ (b) The speed of the wave is ( ) ( ) 1.80m 110rad s 31.5m s. vf ω λ = λ = = = 3) [16-5] (a) The motion from maximum displacement to zero is one-fourth of a cycle. One-fourth of a period is 0.170 s, so the period is T = 4(0.170 s) = 0.680 s. (b) The frequency is the reciprocal of the period: 11 1.47Hz. 0.680s f T = (c) A sinusoidal wave travels one wavelength in one period: 1.40m 2.06m s. 0.680s v T = λ 4) [16-9] (a) The amplitude y m is half of the 6.00 mm vertical range shown in the figure, that is, 3.0 mm. m y = (b) The speed of the wave is v = d/t = 15 m/s, where d = 0.060 m and t = 0.0040 s. The angular wave number is k = 2 π / λ where λ = 0.40 m. Thus, k = 2 π λ = 16 rad/m . (c) The angular frequency is found from = k v = (16 rad/m)(15 m/s) = 2.4 × 10 2 rad/s. (d) We choose the minus sign (between kx and t ) in the argument of the sine function because the wave is shown traveling to the right (in the + x direction, see Section 16-5). Therefore, with SI units understood, we obtain y = y m sin( kx kvt ) 0.0030 sin(16 x 2.4 × 10 2 t ) . 5) [16-10] (a) The amplitude is y m = 6.0 cm. (b) We find from 2 π / = 0.020 : = 1.0 × 10 2 cm. (c) Solving 2 f = = 4.0 π , we obtain f = 2.0 Hz. (d) The wave speed is v = f = (100 cm) (2.0 Hz) = 2.0 × 10 2 cm/s. (e) The wave propagates in the – x direction, since the argument of the trig function is kx + t instead of kx t (as in Eq. 16-2).
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/26/2011 for the course PHYS 2101 taught by Professor Grouptest during the Spring '07 term at LSU.

Page1 / 4

HW11_Sol_F10 - Nov. 8, 2010 PHYS 2101 HW#11 WileyPlus...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online