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gogolik [260]
3 years ago
11

What is the effect on the period of a pendulum if you decrease its length by 7.85%? (Answer this question in terms of the initia

l period T.)
Physics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

0.955T

Explanation:

The effect on the period in case when there is a decrease in length by 7.85%

Let us assume the following items

Period = T

T= Beginning period

L = Beginning length

T' = Final period

L' = Final length

Based on the above information

As we know that

\frac {T'}{T} = \sqrt {\frac {L'}{L}}\\\\  L' = \frac {100-7.85}{100} \\\\ L = 0.9215 \: L

Therefore

\frac {T'}{T} = \sqrt {\frac {0.9215L}{L}} \\\\= 0.955\ T

Hence, the effect on the period is 0.955T

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