Problem 1: You are hiking along a trail in a wide, dry canyon where the outdoor temperature is T = 29.5° C. To determine how far you are away from the canyon wall you yell "Hello" and hear the echo t = 2.4 s later. Randomized Variables T = 29,5° C t = 2.4 s Part (a) Calculate the speed of sound in the valley in meters per second, assuming the speed at 0° C is 332 m/s. Numeric : A numeric value is expected and not an expression. V = Part (b) How far are you from the canyon wall, in meters? Numeric : A numeric value is expected and not an expression. D = Part (c) If you stood at the same point on a cold morning where the temperature was T2 = -4.5 degrees C, how long would it have taken for you to hear the echo, in seconds? Numeric : A numeric value is expected and not an expression. t2

A certain metal with atomic mass 2.3∗10-25 kg has an interatomic bond with length 2.4∗10-10 m and stiffness 42 n/m. What is the speed of sound in a rod made of this metal?

Problem 4:  A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a)  The amplitude in meters. Part (b)  The frequency, in hertz. Part (c)  The wavelength in meters. Part (d)  The wave speed, in meters per second.  Part (e)  The phase constant in radians.

A metal has an atomic weight of 56.3, density of 8.9 x 10 3 Kg/m3, frequency of longitudinal and transverse modes are 5.76 x 10 3 m/s and 3.22 x 103 m/s. Estimate the specific heat of the metal at 30 K and 50 K.

A homogeneous plane wave propagating in water in the positive z direction with an electric field of E = àx 200 cos (2,5.10°Tt) V/m at z = 0. The material constant of seawater is ɛr= 72, Hr = 1, and K = 4 s/m. Determine: a) Damping constant, phase constant and characteristic impedance! b) Distance, in which the amplitude is 5% of the amplitude at the point z = 0!

A plane wave in free space with E = 3.6 cos(wt – 3x) a, V/m is incident normally on an interface at x = 0. If a lossless medium with o = 0, ɛ, = 12.5 exits for x 2 0 and the reflected wave has H, = -1.2 x 10-3 cos (wt + 3x) a, A/m, find µ, in the lossless medium.

An individual can hear sound waves from 20 Hz to 20 kHz. If the speed of sound is 340 m/s, what is the wavelength limit of the highest frequency? Answer must be given in cm units.

A capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid.  The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ .  The SI units of surface tension are J/m2.  The capillary wave speed can be written as  ?=???????v=kσaρbλc  , where k is some unitless constant.  What must be the value of c?

Am I on the right track that you do Rx =5.41(cos)+5.81(cos)+4.88(cos), and Ry =5.41(sin)+5.81(sin)+4.88(sin) then take square root of that?