# Period T & Length: Can the Term in Parentheses be Constant?

• 8parks11
In summary, the period of a pendulum is related to its length and free-fall acceleration by the equation T=2pi(sqrt l/g). The term in parentheses cannot be treated as a constant of proportionality because g is always constant while l varies. Two quantities are considered proportional if one is a constant multiple of the other or if they have a constant ratio. The graphs shown are of T (period) vs. A (amplitude), T vs. L (length), and T vs. m (bob mass) for a pendulum experiment.
8parks11
Using Newton’s laws, we could show that for some pendulums, the period T is related to the length and free-fall acceleration g by

T=2pi(sqrt l/g)

Can the term in parentheses be treated as a constant of proportionality?

No, because g is always the same, and l varies depending on the pendulum

mathematics, two quantities are called proportional if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio.

I have graphs of T vs. A, T vs L, T vs m

A=Amplitude
L=Length
m=bob mass

It's a pendelum experiment
I have graphs but how would i explain it in the graph

## What is the period of a wave?

The period of a wave is the amount of time it takes for one complete cycle or oscillation to occur.

## How is period related to frequency?

Period and frequency are inversely related. This means that as the period increases, the frequency decreases, and vice versa. The equation that represents this relationship is T = 1/f, where T is the period and f is the frequency.

## Can the period of a wave change?

Yes, the period of a wave can change depending on the medium it is traveling through. It can also change if the wave encounters a boundary or obstacle.

## What is the symbol for period?

The symbol for period is T, and it is measured in seconds (s).

## Can the term in parentheses be constant in relation to period and length?

Yes, the term in parentheses can be constant in relation to period and length. This is possible if the wave is traveling at a constant speed and the length of the wave is also constant.

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