Question

The pendulum of an antique clock has been damaged and needs to be
replaced. If the original pendulum completed one swing every 1.5 seconds,
how long should the new pendulum be? Use the formula:
T= 2.
1980
OA. 351 centimeters
OB. 0.25 centimeters
O C. 55.9 centimeters
O D. 234.8 centimeters

Answer 1

If the original pendulum completed one swing every 1.5 seconds. How long should the new pendulum be is: C. 55.9 centimeters.

How long should the new pendulum be

Using this formula

T=2π√I/g

Where:

T=1.5 seconds

l =length of pendulum

g= acceleration of gravity=9.8m/s²

Let plug in the formula

1.5 seconds=2π√I/9.8

l/9.8=0.05699

l=0.05699×9.8

l=0.5585

l=55.9 centimeters (Approximately)

Therefore How long should the new pendulum be is: C. 55.9 centimeters.

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