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?By what factor does the maximum acceleration of the top of the building increase?

Answer 1

Explanation:Hello so i hope this helps you, The maximum speed of the top of the building is directly proportional to the amplitude of the oscillation. Since the amplitude doubled, the maximum speed of the top of the building also doubles.

The maximum acceleration of the top of the building is directly proportional to the square of the amplitude of the oscillation. Since the amplitude doubled, the maximum acceleration of the top of the building increases by a factor of 4 (2 squared).