Question

Discuss the factors on which time period of conical pendulum depends.

Answer 1

• The factors on which the time period of simple pendulum:-
• The factors on which the time period of simple pendulum does not depend are mass of the bob,
• size of the bob and shape of the bob.
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Answer 2

The factors on which the time period of a conical pendulum depends are described below.

• A conical pendulum is one that consists of a mass fixed on an end of a string that has its other end pivoted to some fixed point. It is similar to a simple pendulum but its bob (mass) rotates about the axis of the pivot at a constant speed in a circle, such that the string traces out a cone.
• The time period of a conical pendulum is given by

$T=2\pi \sqrt{\frac{l\cos \theta}{g} }$

where,

l = length of the string,

θ = the angle made by the string with the vertical, called the semi-vertical angle,

g = acceleration due to gravity.

• So, from the above relation, we can see that the factors on which the time period of a conical pendulum depends are:

1. the length of string (l),
2. the semi-vertical angle (θ), and
3. acceleration due to gravity (g).

• Thus, the above-mentioned are the factors on which the time period of a conical pendulum depends.

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