How Do You Calculate the Maximum Speed of a Speaker in Simple Harmonic Motion?

[mark051]

Homework Statement

A loud speaker is connected to a string (spring constant k = N/m). The speaker moves back and forward in simple harmonic motion with an Amplitude of 0.8m. The frequency of an oscillation for amass on a string is w = (k/m)^1/2. The mass of the speaker is 90.0g.

What is the maximum speed of the speaker in m/s?

Homework Equations

Not sure which is the relevant in this situation.

The Attempt at a Solution

I found the value of w = 10.54.., however I'm not sure where to go from there. Thinking about this all week but can't work it out. The answer is 8.43m/s but how I should get this I am not sure. Any help would be really appreciated. Thanks

 

[tiny-tim]

Welcome to PF!

A loud speaker is connected to a string (spring constant k = N/m). The speaker moves back and forward in simple harmonic motion with an Amplitude of 0.8m. The frequency of an oscillation for amass on a string is w = (k/m)^1/2. The mass of the speaker is 90.0g.

What is the maximum speed of the speaker in m/s?

Hi mark051! Welcome to PF!

(have a square-root: √ and an omega: ω )

The sine (or cosine) equation will give you the position of the end of the spring …

then differentiate it to give the velocity!