Answer :
Final answer:
The statement about the pendulum in a grandfather clock is True; a traditional pendulum-powered clock ticks each time the pendulum reaches its maximum displacement on either side. To keep accurate time, a pendulum's length may need to be adjusted if the clock is moved to a location with a different acceleration due to gravity.
Explanation:
The statement 'At the heart of a grandfather clock is a simple pendulum 1.55 m long; the clock ticks each time the pendulum reaches its maximum displacement in either direction' is True.
In traditional mechanical clocks like the grandfather clock, a pendulum's regular swinging motion regulates the movement of the gears and thus the hands of the clock. The pendulum's period, which is the time it takes to complete one full swing from one side to the other and back again, is crucial for keeping accurate time. When a pendulum reaches its maximum displacement, which is the furthest point from its resting position in either direction, it represents the end of one half of a period. Thus, the clock can be designed to 'tick' at these moments. If you were to move to a city with a higher acceleration due to gravity, keeping other factors constant, you would need to shorten the pendulum in order to keep the clock time accurate; a shorter pendulum swings more quickly because the period of a pendulum is directly related to the length of the pendulum and inversely related to the square root of the acceleration due to gravity.
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