4) The following trig function models the position of a rung on a waterwheel: y = -20sin( t)+ 16 where t = seconds and y = number of feet above water level. a) What is the diameter of the wheel? b) At the top of the wheel, how high is the rung above water level? c) How many rotations per minute does the wheel make? d) What percentage of time does a rung spend underwater?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 20P
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4) The following trig function models the position of a rung on a waterwheel:
y = -20sin(
t)+ 16
where t = seconds and y = number of feet above water level.
a) What is the diameter of the wheel?
b) At the top of the wheel, how high is the rung above water level?
c) How many rotations per minute does the wheel make?
d) What percentage of time does a rung spend underwater?
Transcribed Image Text:4) The following trig function models the position of a rung on a waterwheel: y = -20sin( t)+ 16 where t = seconds and y = number of feet above water level. a) What is the diameter of the wheel? b) At the top of the wheel, how high is the rung above water level? c) How many rotations per minute does the wheel make? d) What percentage of time does a rung spend underwater?
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