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.
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.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4830af55-84e9-44a3-a1a9-c9fad267ce9b%2F02ef479f-3d9b-42e5-baae-cef491cf0592%2Fcep1u87_processed.jpeg&w=3840&q=75)
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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