Change in the time period of a pendulum

In summary, the time period of a pendulum is directly proportional to its length, unaffected by its mass or amplitude, and can be affected by external factors such as gravity, air resistance, and friction.
  • #1
Prabs3257
65
4
Homework Statement
3.A pendulum made of a uniform wire of cross ` sectional area `A` has time period `T` .When an `additional mass `M` is added to its bob the time period changes to `T_(M)` .If the Young's modulus of the material of the wire is `Y` then `(1)/Y` is equal to ` `
Relevant Equations
T=2π√l/g
I tried taking log and then diffrentiate the standard equation for time period of a pendulum but i am not getting the correct answer
 

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  • #2
The period of a pendulum depends on its length. I don't understand your method at all.

Can you relate the new length of the pendulum (with mass ##M##) to the old length (without mass ##M##)?
 

1. How does the length of a pendulum affect its time period?

The time period of a pendulum is directly proportional to the square root of its length. This means that as the length of a pendulum increases, its time period also increases.

2. Does the mass of a pendulum affect its time period?

The mass of a pendulum does not affect its time period. The time period of a pendulum only depends on its length and the gravitational acceleration.

3. What is the formula for calculating the time period of a pendulum?

The formula for calculating the time period of a pendulum is T=2π√(l/g), where T is the time period, l is the length of the pendulum, and g is the gravitational acceleration.

4. How does the amplitude of a pendulum affect its time period?

The amplitude of a pendulum does not affect its time period. The time period of a pendulum remains constant regardless of the amplitude of its swing.

5. Can the time period of a pendulum be affected by external factors?

Yes, the time period of a pendulum can be affected by external factors such as air resistance, friction, and temperature. These factors can slightly alter the time period but the effect is usually negligible.

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