Harmonic Motions of Similar Models. The unifying power of mathematical methods results to a large extent from the fact that different physic

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Harmonic Motions of Similar Models. The unifying power of mathematical methods results to a large extent from the fact that different physical (or other) systems may have the same or very similar models. Illustrate this for the following three systems (a) Pendulum clock. A clock has a 1-meter pendulum. The clock ticks once for each time the pendulum completes a full swing, returning to its original position. How many times a minute does the clock tick

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Philomena 5 months 2021-08-15T13:59:00+00:00 1 Answers 26 views 0

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    2021-08-15T14:00:39+00:00

    Answer:

    tick = 30

    Explanation:

    The angular velocity in a simple pendulum is

              w² = g / L

    the angular velocity is related to the period

              w = 2π/ T

    let’s substitute

              \frac{4 \pi }{T^2}  = \frac{g}{L}

               T = 2 \pi  \sqrt{\frac{L}{g} }

    indicate that the length is m = 1, if we assume that the acceleration of gravity is g = 9.8 m / s²

               T = 2π  \sqrt{\frac{1}{9.8} }

               T = 2.0 s

    the clock has a tick each period and since the period is 2.0 s, to complete the minute (60 s) you need

               

               tick = 1 60 / T

               tick = 1 60/2

               tick = 30

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