Consider the following wave function in SI units:
ΔP(x, t) = (24.0 / r) sin(1.35r - 2050t)
Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (Assume that the wave is moving through the water at 25°C.)
(a) Does the wave move more toward the right or the left?
(b) Find its wavelength.
(c) Find its speed.
(d) Find its frequency.

(a) right

(b) λ = 4.65m

(c) v = 1519m/s

(d) f = 327Hz

Explanation:

The characteristic sinusoidal pressure fluctuation equation for a wave traveling to the right is given as

P(x,t) = BkASin(kx-ωt)

Where

B = Bulk modulus

k = wave number

A = displacement amplitude

x = position on the x-axis

ω = angular frequency

t = time t

(a) the wave is travelling to the right

(b) from the given equation

ΔP(x,t) = (24.0 / r) sin(1.35r - 2050t)

1.35 compares with k

So k = 1.35rad/m

And k = 2π/ λ

λ = 2π/k = 2π/1.35 = 4.65m

(c) ω =kv

From the given equation ω = 2050 rad/s

v = ω/k = 2050/1.35 = 1519m/s

(d) f = v/λ =1519/4.65 = 327Hz

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

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