Question

(5 pts) A sewing machine needle moves up and down in simple harmonic motion with an amplitude of 0.0127 m and a frequency of 2.55 Hz. How far doesthe needlemove in one period?A.0.0127 mB.0.0254 mC.0.0508 m

Answer 1

B. 0.0254m

Step-by-step explanation:

A is the amplitude of the oscillation, i.e. the

maximum displacement of the object from

equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive.

The period T is the time it takes the object tocomplete one oscillation and return to the startingposition.

d = 2A = 2×0.0127