A sewing machine needle moves with a rapid oscillatory motion, essentially in simple harmonic motion, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position as it makes 24 stiches in 9.0 s. (a) What is the angular frequency, w, of the needle? (b) What is the maximum speed of the needle? (c) What is the magnitude of the maximum acceleration of the needle? (d) Include a diagram of the situation that indicates where the location of the maximum speed and acceleration are located in the motion of the needle.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A sewing machine needle moves with a rapid oscillatory motion, essentially in simple
harmonic motion, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its
lowest position as it makes 24 stiches in 9.0 s. (a) What is the angular frequency, w, of the
needle? (b) What is the maximum speed of the needle? (c) What is the magnitude of the
maximum acceleration of the needle? (d) Include a diagram of the situation that indicates
where the location of the maximum speed and acceleration are located in the motion of the
needle.
Transcribed Image Text:A sewing machine needle moves with a rapid oscillatory motion, essentially in simple harmonic motion, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position as it makes 24 stiches in 9.0 s. (a) What is the angular frequency, w, of the needle? (b) What is the maximum speed of the needle? (c) What is the magnitude of the maximum acceleration of the needle? (d) Include a diagram of the situation that indicates where the location of the maximum speed and acceleration are located in the motion of the needle.
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