The period depends on both the length of the pendulum and the force due to gravity. They are related by Huygen's law, T = 2π√(l/g). Assuming a gravity of 10Nkg-1 (roughly equal to Earth's 9.81 and a common approximation) it would need to be 2.5/pi2, or about 0.253099 metres.
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Nice problem! I get 32.1 centimeters.
ts period will become sqrt(2) times as long.
The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum. As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
It would tend towards infinity
There's no relationship between the length of the pendulum and the number of swings.However, a shorter pendulum has a shorter period, i.e. the swings come more often.So a short pendulum has more swings than a long pendulum has in the same amountof time.