A sewing machine needle moves up and down in simple harmonic motion with an amplitude of 1.27 cm and a frequency of 2.55 Hz. (a) What is the maximum speed of the needle? (b) What is the maximum acceleration of the needle?
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The maximum speed (v_max) is given by v_max = ωA, where ω is the angular frequency and A is the amplitude. The maximum acceleration (a_max) is given by a_max = ω²A, where ω is the angular frequency and A is the amplitude. Show more…
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