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16 February, 15:46

There are two pendulums with periods 1.5 s and 1 s, which one is longer, and which one is shorter.

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  1. 16 February, 19:39
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    The greater the length, the greater the period. Or vice versa

    Explanation:

    T = 2π * √ (L/g)

    Given that T = 1s, g = 9.8m/s^2, π = 3.14

    1 = 2 * 3.14 √ (L/9.8)

    1 = 6.28 * L / 9.8

    L = 9.8/6.28

    L = 1.56m

    When T = 1.5s

    1.5 = 2*3.14√ (L/9.8)

    1.5^2 = 6.28*L/9.8

    2.25 = 6.28L/9.8

    2.25*9.8 = 6.28L

    22.05 = 6.28L

    L = 22.05/6.28

    L = 3.51m

    From the above mathematical solution, it is clear that the greater the length, the greater the period. Or vice versa
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