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Question
On what factors does the frequency of a conical pendulum depend? Is it independent of some factors?
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Solution
Expression for a frequency of conical pendulum is given as:
f = `1/(2 pi) sqrt (g/(L cos theta)`
Here, f is the frequency, l is the length of pendulum and g is the acceleration due to gravity, and θ is the angle of inclination.
From the above expression, we can see that
- The frequency is directly proportional to the root of the acceleration due to gravity `f ∝ sqrt g`.
- The frequency is inversely proportional to the length of the pendulum `f ∝ sqrt(1/l)`.
- The frequency is inversely related to the angle of inclination `f ∝ sqrt(1/ (cos theta))`
- The frequency does not depend on the mass of the bob.
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