samuelmeier187
Answered

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30. (a) What is the effect on the period of a pendulum if you double its length?
(b) What is the effect on the period of a pendulum if you decrease its length by 5.00%?

The answers are "(a) Period increases by a factor of 1.41 (2–√)(b) Period decreases to 97.5% of old period" but please include all of your work.

Sagot :

Let's know the formula

[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

So

[tex]\\ \rm\rightarrowtail T\propto \sqrt{l}[/tex]

Hence if length is doubled time period will be √2 times

  • √2=1.41 (Approximately)

#2

Decrease by 5% will decrease the time period 5/2=2.5%

So

It's

  • 100-2.5=97.5% of old period
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