Time an object takes to oscillate

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The object in simple harmonic motion (SHM) has a period of 5.73 seconds and an amplitude of 10.47 cm. The user attempted to solve for the initial phase angle and angular speed but encountered difficulties in calculating the time it takes to move from x=0 cm to x=5.78 cm. They used the equation x=Acos(wt+ro) and found the phase angle to be π/2. However, their calculation for time did not yield the expected result. Assistance is requested to clarify the calculations for angular speed and time.
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Homework Statement



An object in SHM oscillates with a period of 5.73 s and an amplitude of 10.47 cm. How long does the object take to move from x=0 cm to x=5.78 cm?


Homework Equations



x=Acos(wt+ro)

The Attempt at a Solution


I solved for ro which was pi/2 when x=o and t=o. Then I solved for angular speed which was 2pi*frequency. Then I did cos^-1(5.78/10.47)=wt+pi/2 and I solved for t but that did not work. Could you please help me? Thank you.
 
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Your equation looks correct.

What did you get for w and t?
 

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