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ICSE Class 7 Answered

Find the length of a simple pendulum whose time period is 12.56 sec.
Asked by Topperlearning User | 13 May, 2015, 09:06: AM
answered-by-expert Expert Answer

begin mathsize 12px style straight T space equals space 2 straight n square root of straight l over straight g end root
straight T space equals space 12.56 space straight s
straight g space equals space 9.8 space straight m divided by straight s squared
straight n space equals space 3.14
Substituting space the space values space in space the space formula comma space we space get
12.56 space equals space 2 cross times 3.14 square root of fraction numerator straight l over denominator 9.8 end fraction end root
fraction numerator 12.56 over denominator 2 cross times 3.14 end fraction space equals space square root of fraction numerator straight l over denominator 9.8 end fraction end root
2 space equals space square root of fraction numerator straight l over denominator 9.8 end fraction end root
Squaring space both space side comma space we space get
4 space equals space fraction numerator straight l over denominator 9.8 end fraction
rightwards double arrow straight l space equals space 4 cross times 9.8
therefore space straight l space equals space 39.2 straight m end style

Answered by | 13 May, 2015, 11:06: AM
ICSE 7 - Physics
Asked by aaa_vns | 10 May, 2019, 08:49: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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