Help with the problem of accelerating the block

[Brycen Sanders]

Friends, in college I got the following task, which I could not solve.

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.240 m and the period is 3.08 s.
a. What is the acceleration of the block when x = 0.160 m?

At https://plainmath.net/49881/a-small-block-is-attached-to-an-ideal-spring-and I received an answer, but not everything was clear to me. I will be very grateful to you for a more detailed explanation and solution of the problem.

[Sterling Ward]

This answer explains everything in detail. You need to pay special attention to the position of the block, the angular frequency and acceleration of the block in the problem and you will be able to solve it yourself.