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## Homework Statement

A sewing machine needle moves up and down in simple harmonic motion with an amplitude of 1.27cm and a frequency of 2.55Hz. How long does it take to travel 11.43cm?

## Homework Equations

x=A*cos(w*t)

w=2[tex]\pi[/tex]*f

w=2[tex]\pi[/tex]/T

T=1/f

## The Attempt at a Solution

I can't determine the proper way to solve for t, since that's what the question is asking for. Every time I try to solve for t, the calculator gives me a 'math error' message and won't let me compute.

The answer is 0.878s, but I need to know how to get it.