- #1

pondzo

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## Homework Statement

An object is undergoing simple harmonic motion with frequency f = 3.1 Hz and an amplitude of 0.15 m. At t = 0.00 s the object is at x = 0.00 m. How long does it take the object to go from x = 0.00 m to x = 7.00×10

^{-2}m.

## Homework Equations

x(t)=Asin(ωt)

## The Attempt at a Solution

The correct answer is 2.49*10

^{-2}sec

ω=2[itex]\pi[/itex]f=6.2[itex]\pi[/itex]

so, i set the following equation: 0.07=0.15sin(6.2[itex]\pi[/itex]t)

but i can not solve it without the solving capabilities of a graphics calulator, so i can't use this method.

i then set up a similar equation using small angle approximation but in order to get it to the right accuracy i need to include the second term (ie sinθ=θ - θ

^{3}/6

but this then turns it into a cubic function (which i don't have the level of math to solve)

Is there a different way to go about this question that i am missing?

thank you in advance, Michael.