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Frequency and density aren't involved as 'bare quantities' in force.

The bare quantities that constitute force are mass, length, and time,

and the physical dimension of force is

(mass) x (length)/(time)2 .

The 'length' and 'time' combine to result in (length)/(time)2, and that's

the 'acceleration' that you did include.

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Q: What is the dimension of force if density and frequency and acceleration due to gravity are the bare quantities?
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