Question

1. The length of second's pendulum is 80cm. What should be the
length, if time period is 1.6 sec?​

Answer 1

The length of pendulum will be 64 cm.

Explanation:

Given length of seconsd`s pendulum, l = 80 cm.

And time period second pendulum is 2 s

If time period of pendulum, T= 1.6, then

The time period of pendulum is given as

$T=2\pi \sqrt{\frac{l}{g} }$

Now squaring both side, we get

$T^{2}=4\pi ^{2} (\frac{l}{g})$

$l=\frac{T^{2}g }{4\pi ^{2}}$

Substitute the given values, we get

$l=\frac{(1.6^{2})9.8 }{4(3.14)^{2}}$

$l=0.636m$

l = 64 cm.

Thus,the length of pendulum will be 64 cm.

Learn more: Time period of pendulum.

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