Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

(II) Tall buildings are designed to sway in the wind. In a 100 -km/h wind, for example, the top of the 110 -story Sears Tower oscillates horizontally with an amplitude of 15 $\mathrm{cm}$ . The building oscillates at its natural frequency, which has a period of 7.0 s. Assuming SHM, find the maximum horizontal velocity and acceleration experienced by a Sears employee as she sits working at her desk located on the top floor. Compare the maximum acceleration (as a percentage) with the acceleration due to gravity.

Get the answer to your homework problem.

Try Numerade free for 7 days

Input your name and email to request the answer

Like

Report

The maximum velocity of the motion is given by$$\approx 0.13 \mathrm{m} / \mathrm{s}$$And the maximum alliteration is given by $a_{\max }=\omega^{2} A$$$0.12 \mathrm{m} / \mathrm{s}^{2}$$The percentage of the alliteration $=\frac{a}{g} \times 100$$=\frac{0.12}{9.8} \times 100=\frac{[1.2 \%}{1.2 \%}$

Physics 101 Mechanics

Chapter 14

Oscillators

Motion Along a Straight Line

Motion in 2d or 3d

Periodic Motion

Cornell University

Rutgers, The State University of New Jersey

University of Sheffield

University of Winnipeg

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

0:00

(II) Tall buildings are de…

04:04

Tall buildings are designe…

09:03

02:01

01:02

01:14

02:35

01:54

Tall buildings are flexibl…

00:52

A strong gust of wind stri…

02:31

02:33

Motion of a Building A str…

01:23

II The New England Merchan…

03:03

During an earthquake, a ho…

01:22

Taipei 101 (a 101 -story b…

02:16

Near the top of the Citigr…

02:05

The New England Merchants …

No transcript available

View More Answers From This Book

Find Another Textbook

"Locate the centroid y of the channel's cross-sectional area_2…

03:41

'For the I~beam shown below, resolve the force G into two and another c…

02:24

'Determine the angle 0 and the tension in the cord when the speed of th…

03:24

"4.A converging-diverging nozzle is designed for Mach Number M 20 atthe…

10:09

'Calculate the solidification time (in minutes) of an alloy (AL-Si) wit…

02:34

'What particular feature does a solid collet have that makes it safer t…

02:58

'303 The shaft shown in Fig 3 is carries Swo_pulleys each Weighs 4…

01:12

'Write down the differential equation(s) that model the vertical dynami…

06:03

'6) A 3 cm orifice plate is placed within a 4 cm pipe in which methanol…

07:21

'The cylinder of a four-stroke diesel engine has the following specific…