# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Sat, 3 Dec 2016 12:41:17 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 2 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: SHMPosted: Fri, 31 Oct 2003 00:57:01 UTC
 Member

Joined: Tue, 30 Sep 2003 08:17:22 UTC
Posts: 38
1) A computer to be used in a satellite must be able to withstand accelerations up to 25 times the acceleration due to gravity. In a test to see whether it meets this specification, the computer is bolted to a frame that is vibrated back and forth in simple harmonic motion at a frequency of 9.5 Hz. What is the minimum amplitude of vibration that must be used in this test?

2) A pendulum clock can be approximated as a simple pendulum of length 1.00 m and keeps accurate time at a location where g is 9.83 m/s2. In a location where g is 9.78 m/s2, what must be the new length of the pendulum, such that the clock continues to keep accurate time (that is, its period remains the same)?

_________________
Whoever says education is costly should try ignorance...then compare the two.

Top

 Post subject: Posted: Fri, 31 Oct 2003 04:00:09 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Sun, 22 Jun 2003 18:00:06 UTC
Posts: 3549
Location: North TX
1. w = 2pi*f

since a(t) = -Aw^2*cos(wt), the max amplitude of acceleration will occur when cos(wt) = -1 or 1

|a(t)| = Aw^2
|a(t)|/w^2 = A
25g/(2pi*f)^2 = A
Amplitude = approx .07 m

2. T = 2pi*sqrt(L/g)

2pi*sqrt(1/9.83) = 2pi*sqrt(L/9.78)
1/9.83 = L/9.78
L = 9.78/9.83 = approx 0.995 m

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 2 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix and Linear Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous