course
Mth 173http://vhmthphy.vhcc.edu/ > Calculus I > Info > (look under in-class section and click on syllabus for your course)
Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.
Hughes-Hallet etc. Calculus text.
Every class come in with a good question or a statement that you know everything. A good question consists of a statement of a situation or problem and a summary of what you do and do not understand about it.
http://vhmthphy.vhcc.edu/ > General Information and scroll down to Request Access Code. Fill out and submit.
dsmith@vhcc.edu
Does the period of a pendulum increase or decrease with length?
Measuring periods of pendulums with the restriction that amplitude cannot exceed 10% of the length, we seem to agree that period will increase with length.
Does the rate of increase of period with respect to length depend on length?
An average rate of change of A with respect to B is
ave rate = change in A / change in B
The 'rate of increase of period with respect to length' is the rate of change of period with respect to length; the word 'increase' merely indicates that we expect that the rate of change will be positive.
The phrase 'rate of change of period with respect to length' is closely related to 'average rate of change of period with respect to length', which by our definition would be
ave rate of change of period with respect to length = change in period / change in length
What was the period at each length? (period is time required for a complete cycle; you counted half-cycles for 10 seconds)
By how much did the period change between your two lengths?
What therefore was the average rate of change of period with respect to length?
"
end of document
Your work has not been reviewed.
Please notify your instructor of the error, using the Submit Work form, and be sure to include the date 08-22-2007.
Good work. Let me know if you have questions.