Question

A transverse wave on a string is described by the equation $y(x,t)=\left(2.20cm\right)sin\left[\right(130rad/s\left)t\right]+\left(15rad/m\right)x]$.

Find the approximate maximum transverse speed of a point on the sting.

• A. $1.2$m/s
• B. $1.7$m/s
• C. $2.9$ m/s
• D. $3.4$m/s

Answer 1

The correct option is C $2.9$ m/s

Given,

$y(x,t)=\left(2.20\right)sin\left[\right(130rad/s)t+(15rad/m\left)x\right]$

Maximum transverse speed of string is

$v_{max}=A\omega$

$=0.022m\times 15$

$=2.86m/s$

$\sim 2.9m/s$