Math Puzzle for September 6, 2024

The sine wave, the basis of Tesla electricity and surfing at Mavericks of Pillar Point

Alameda Post - a sine wave along an axis that is the length of 8 tick marks, which is labeled 2 pi. The distance between the height of the wave and the axis is labeled a.

Waiting in line at a boutique coffee shop, Herb toys with an 8-inch bread twister.
Remembering his days at Stuyvesant High, he forms the twister into a sine wave.
The twister has a total length of 8 inches and forms one complete sine wave.

To six decimal places, right of the decimal, find the amplitude a of this sine wave.

(Hint: Newton’s Method of Approximations is one approach.)

First correct answer sent to [email protected] wins a Tucker’s Gift Card worth a lot of Ice Cream.

Last week’s winner was Xavier Strand with V = 100874.65905 cm 3.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].

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