
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 glass rod of length $l = 110 \mathrm{~cm}$ is reinforced at its center, positioned horizontally, and a circular cork sheet is glued to one of its ends. When this rod is rubbed with a damp cork, it undergoes longitudinal vibration, creating a node at its center. The frequency of the resulting sound is determined by this method. A Kundt's tube with cork powder is attached to the cork-sheeted end. The air in the tube resonates with the longitudinal vibrations of the glass rod, and the powder gathers at nodes spaced $l^{\prime}=12 \mathrm{~cm}$ apart. The speed of sound in air is $V=340 \frac{\mathrm{m}}{\mathrm{sec}}$. What is the frequency of the sound produced? What is the speed of longitudinal waves in the glass?



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