Completely Lost in this Physics Problem Sinusoidal transverse waves

AI Thread Summary
The discussion focuses on solving a physics problem involving a sinusoidal wave on a string. Key points include determining the wave's frequency, wavelength, and general equation for transverse displacement. The wave's speed is given as 10.00 cm/s, and the displacement equation is provided. Participants emphasize the importance of showing work to receive help, particularly in finding the period and tension of the string. Understanding the relationship between the sine function and time is crucial for solving the problem.
cahardy86
Messages
3
Reaction score
0
A sinusoidal wave is traveling on a string with speed 10.00 cm/s. The displacement of the particles of the string at x = 20 cm is found to vary with time according to the equation y = (5.0 cm) sin[16.0 - (8.0 s-1)t]. The linear density of the string is 7.0 g/cm.
(a) What is the frequency of the wave?
s-1
(b) What is the wavelength of the wave?
cm

(c) Give the general equation giving the transverse displacement of the particles of the string as a function of position and time.
y(x,t) = (5.0 cm) sin[( cm-1)x - ( s-1)t]

(d) Calculate the tension in the string.
 
Physics news on Phys.org
please show us some work you have done on this problem. We can't help you unless you've shown some efforts from your side.

[i'm surprised there is no template made already for this]
 
i am completely lost i don't know where to start..so some direction would be nice.
 
i know f=1/T..but how do you find T from this problem?
 
T is the period, ie the time of one oscillation. Now look at your equation, it resembles a wave through the sine function and the question then is: by what amount do you have to change the time "t" to make the sine go around one time?
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top