In winds, the peak to peak amplitude of the top of a sky-tower-like building is

Question

In winds, the peak to peak amplitude of the top of a sky-tower-like building is 1.1 [m], and has a period of 3.75 seconds.

Is this a zeroth, first, or second order system (type 0, 1 or 2)?

Determine the maximum speed of the sky tower [m/s]?

Determine the maximum acceleration of the skytower [m/s2]?

3 significant figures

In winds, the peak to peak amplitude of the top of a sky-tower-like building is 1.1 [m], and has a period of 3.75 seconds Is this a zeroth, first, or second order system (type 0, 1 or 2). Determine the maximum speed of the sky tower [m/s Determine the maximum acceleration of the skytower [m/

Explanation / Answer

x''+wn2x=0 is the governing equation.

Hence it is a 2nd order system.

A=1.1m; T=3.75 sec

wn=2÷T

=1.67 rad/s

Velocity (max)=Awn=1.837 m/s

Acceleration(max)=Awn2=3.067 m/s2

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