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प्रश्न
On what factors does the frequency of a conical pendulum depend? Is it independent of some factors?
उत्तर
Expression for a frequency of canonical pendulum is given as:
f = `1/(2pi) 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 oo sqrtg`.
- The frequency is inversely proportional to the length of the length of the pendulum `f oo sqrt("I"/l)`.
- The frequency is inversely related to the angle of inclination `f oo sqrt(1/ (cos theta))`
- The frequency does not depend on the mass of the bob.
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