SHM equation velocity of wave help

[Adam Rabe]

Homework Statement

Homework Equations

x(t) = A cos (2pi * f * t)
v (t) = - vmax sin (2pi * f * t)

vmax = (sqrt of k/m) * A
v = circumference/period

The Attempt at a Solution

I do not know how to find the velocity as question only provides amplitude and i don't know how to find period using the values in the bracket. .

I would like help in the right direction

 

[gneill]

Hi Adam,

Welcome to Physics Forums.

I do not know how to find the velocity as question only provides amplitude and i don't know how to find period using the values in the bracket. .

You need to do a bit of research on the traveling wave equation. I suggest a web search on "traveling wave parameters" (hint: The Hyperphysics website entry provides a pretty good, compact summary).

All the information you need is in the argument of the cosine function if you think about what is required for one full cycle of the wave to occur when either of the two parameters (x or t) is held constant while the other is allowed to vary.

 

[Adam Rabe]

Hi Adam,

Welcome to Physics Forums.
You need to do a bit of research on the traveling wave equation. I suggest a web search on "traveling wave parameters" (hint: The Hyperphysics website entry provides a pretty good, compact summary).

All the information you need is in the argument of the cosine function if you think about what is required for one full cycle of the wave to occur when either of the two parameters (x or t) is held constant while the other is allowed to vary.

Hello!
thank you so much i see what i did wrong! the equation is actually: y(t) = A cos (2pi/wavelength * x * vt) ~ and v is just 1/4.

I was taught another form of that equation which is y (t) = A cos (2pi* f * t). but if you substitute f as f = v/wavelength you get the following equation.
bless your soul