To find: The period of a pendulum 3.5 ft long using

preprekomW

preprekomW

Answered question

2021-08-12

To find:
The period of a pendulum 3.5 ft long using t=2πL32.

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-08-13Added 98 answers

Step 1
The given model is time period is t=2πL32
The period of time t, in seconds, taken by the swing of a pendulum is given by the above formula.
where L is the length of the pendulum in feet.
Using this model, we can find the period of a pendulum 3.5 ft long.
Step 2
So, L=3.5 ft and π=227
Let us substitute in t=2πL32
t=2×227×3.532
t=2×3.14×0.109375
t=2×3.1428×0.3307
t=2.07 seconds.
While rounding to the nearest tenth t=2.1 seconds
Therefore, the period of a pendulum 3.5 ft long is 2.1 seconds.

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