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11Alexandr11
10 days ago
11

The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only dimensional quantities that

the period depends on are the acceleration of gravity, g, and the length of the pendulum, l, what combination of g and l must the period be proportional to
Physics
1 answer:
serg [3.2K]10 days ago
7 0

Clarification:

Let T signify the pendulum's period. The time's SI unit is seconds (s).

It is influenced by the length of the pendulum, l, and the gravitational acceleration, g.

The SI units for gravitational acceleration, g, and pendulum length, l, are m/s² and m, respectively.

Dividing m by m/s² produces s². Taking the square root of s² results in s, which is the SI unit for the pendulum's period.

Thus,

T\propto \sqrt{\dfrac{l}{g}}

This concludes the solution we sought.

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