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The following model determines the vibration of a drum, specifically the vibration of the batter head,...

The following model determines the vibration of a drum, specifically the vibration of the batter head, where the wave equation is solved in polar coordinates.

1 д? 1ди д?u дr2 + с? д?t т де

u(r,t) is the height of a drum's surface at radius (r) and time (t), which is relative to its position at rest.

c is a parameter which depends on surface density (kg//m3) of the drum head, and with tension t (newtons) applied to it.

Q1. Non-dimensionalise the following equation

Q2. From the question, what dimension should c have?

1 д? 1ди д?u дr2 + с? д?t т де
0 0
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ReportAnswer #1

I du an = tl du (² at? dr² ror 2 has er dimensions of [t uw height Es radies, t time parameter lepends surface density but di

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