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# A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position and it makes 24 stitches in 9.0 s. What is the maximum needle speed?

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Given Data:

Distance between two extreme positions, $\text{d}=8.4\ \text{mm}$.

Number of stitches $= 24$

Time is taken to complete the stitches, $\text{t}=9.0\ \text{s}$

To Find:

We need to find the maximum needle speed.

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