
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A film needs to be rewound from one reel to another. The diameters of the empty reels are the same and equal to \(a\). Find the time required for the rewinding, given that the length of the film is \(L\), the thickness of the film is small and equal to \(S\), and the receiving reel rotates with a constant angular velocity \(\omega\).

Present the answer in LaTex format: \boxed{Your answer}
user