Question

A tall building is swaying back and forth on a gusty day. The wind picks up and doubles the amplitude of the oscillation. By what factor does the maximum speed of the top of the building increase

Answer 1

by a factor of 2

Step-by-step explanation:

Maximum speed of a body in simple harmonic motion relate to the amplitude by the following formula:

v ( maximum speed in m/s ) = x ( amplitude in meters ) √K /m where K is in N/m and m is kg

v is directly proportional to the amplitude and increases as the amplitude increases by a factor of 2