Physics
posted by Kyle .
A sinusoidal wave is traveling on a string with speed 30.00 cm/s. The displacement of the particles of the string at x = 15 cm is found to vary with time according to the equation y = (5.0 cm) sin[1.5  (3.0 s1)t]. The linear density of the string is 5.0 g/cm.
(a) What is the frequency of the wave?
(b) What is the wavelength of the wave?
(c) Give the general equation giving the transverse displacement of the particles of the string as a function of position and time.
(d) Calculate the tension in the string.

Physics 
Damon
Unless you have a typo, sin[1.5  (3.0 s1)t] is really sin[1.5  2t]
when is 2 t equal to 2 pi ?? (that is when the argument of the sin function changes by 2 pi, a period)
That is when t increases by pi
so the period, T is pi
the frequency = 1/pi
wavelength is how far it goes in pi seconds
That is 30 * pi
y = (5.0 cm) sin[1.5  2t] sin (2 pi x/L  phi)
where L is that wavelength
get the phase angle phi from the value of y when x = 15 and t = 0
you have the speed of the wave c = L/T
You know the equation for speed of the wave versus tension and density, so calculate the tension.
Respond to this Question
Similar Questions

physics
Let f be the frequency, v wav the speed, and T the period of a sinusoidal traveling wave. The correct relationship is: a)f=1/T b)f=vwav + T c)f=vwavT d)f=vwav/T e)f=T/vwav My thoughts: I think the answer is D.Since frequency is equal … 
Physics
Let's consider some of the things that affect the velocity of a standing wave on a string: decide whether each of the following statements are TTrue, or FFalse. (If the first is T and the rest are F, enter TFFFF) A) The velocity … 
physics
A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal wave with speed 24 m/s, wavelength 30 cm, and amplitude of 1.0 cm passes, what is the max speed of a point on the string? 
physics
A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x  41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave … 
physics please helpp
A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x  41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave … 
physics
A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x  41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave … 
physics
A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x  41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave … 
physics
A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x  41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m .. if needs values of these ( the … 
Physics
Hi, can anybody provide some hints in how to approach these questions? 
physics
. A long string carries a wave; a 6m segment of the string contains four complete wavelengths and has a mass of 180 g. The string vibrates sinusoidal with a frequency of 50 Hz and a peaktovalley displacement of 15 cm. (The “peakto …