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

Step 1:Given the data in the problem:Distance between two extreme positions, d = 8.4 mm.Number of…

Answered: A sewing machine needle moves with a…

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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