Expression for time period of simple pendulum

In summary, the formula for the time period of a simple pendulum is T=2π√(L/g), where T is the time period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in meters per second squared. The time period is directly proportional to the length of the pendulum and is affected by the acceleration due to gravity and the amplitude of the swing. The unit of measurement for the time period is seconds (s).
  • #1
anigeo
84
0
Which of the two is a better expression for the time period of a simple pendulum?
t-=2∏[itex]\sqrt{(l/g)}[/itex] or t=2∏[itex]\sqrt{(1/T/m)}[/itex] ; l=length of the pendulum
T=time period of the pendulum
m=mass of bob
Note:g is not equal to T/m as there is pseudo centrifugal force such that T + centripetal force=mg
 
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  • #2
The first one is the useful expression...
 

FAQ: Expression for time period of simple pendulum

What is the formula for the time period of a simple pendulum?

The formula for the time period of a simple pendulum is T=2π√(L/g), where T is the time period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in meters per second squared.

How does the length of the pendulum affect the time period?

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

What factors affect the time period of a simple pendulum?

The time period of a simple pendulum is affected by the length of the pendulum, the acceleration due to gravity, and the amplitude of the swing. Other factors such as air resistance and the mass of the pendulum do not significantly affect the time period.

How does the acceleration due to gravity affect the time period of a simple pendulum?

The time period of a simple pendulum is inversely proportional to the square root of the acceleration due to gravity. This means that as the acceleration due to gravity increases, the time period decreases.

What is the unit of measurement for the time period of a simple pendulum?

The unit of measurement for the time period of a simple pendulum is seconds (s). This is because the time period is a measure of how long it takes for the pendulum to complete one full swing back and forth.

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