Technically and mathematically, the length is the onlything that affects its period.
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Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.
no. it affects the period of the cycles.
Height does not affect the period of a pendulum.
A longer pendulum has a longer period.
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.