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The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum.
As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
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What is the relationship between the length of the string of a pendulum and the number of swings?
There's no relationship between the length of the pendulum and the number of swings.However, a shorter pendulum has a shorter period, i.e. the swings come more often.So a short pendulum has more swings than a long pendulum has in the same amountof time.
What is the length of a pendulum whose period on the moon matches the period of a 1.94-m-long pendulum on the earth?
Nice problem! I get 32.1 centimeters.
If the length of a simple pendulum is doubled what will be the change in its time period?
ts period will become sqrt(2) times as long.
The time period of a simple pendulum having infinite length will be?
It would tend towards infinity
How is the the time period of a pendulum affected when the bob of the simple pendulum is filled with mercury?
Answer #1:Your question cannot be answered without knowing what the pendulum wasfilled with before it was filled with mercury.If it had nothing in it, before, then adding the mercury would increase theperiod time.If it had lead in it before, then adding the mercury would decrease the periodtime.================================Answer #2:The period of a simple pendulum doesn't depend on the weight (mass) of thebob. As long as the bob is much heavier than the string, and air resistance canbe ignored, nothing you do to the bob has any effect on the period.
