A simple pendulum has a period of 17.0s. When the length is shorten by 1.5m, its period is 8.5s. Calculate the original length of the pendulum
a
4.0 m
b
3.0 m
c
2.0 m
d
1.5 m
Explanation
Correct Option
cVideo Explanation
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Discussions (14)

Emmanuel24458
2 years ago
t1²/t2² = l1/l2
Since the second length was shorten it becomes L - 1.5 note L i used to minus is the length L
17²/8.5² = L1/L2
289/72.25 = L/L-1.5
Simplify and approximate

bored_panda
1 year ago
using t1²/t2²=L1/L2
since L2 was shortened, it becomes L-1.5
= (17)²/(8.5)²=L/L-1.5
289/72.25=L/L-1.5
cross multiply
72.25L=289(L-1.5)
72.25L=289L-433.5
289L-72.25L=433.5
216.75L=433.5
Divide both sides by 216.75
:. L=2.0m//

