A dust particle on a phonograph record rotates at a speed of 45 revolutions per minute if the particle is 10 cm from the axis of rotation. F

Question

A dust particle on a phonograph record rotates at a speed of 45 revolutions per minute if the particle is 10 cm from the axis of rotation. Find. 1) its linear speed and linear acceleration.

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Lệ Thu 6 months 2021-08-15T16:22:22+00:00 1 Answers 5 views 0

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    2021-08-15T16:24:00+00:00

    Explanation:

    ω = 45 rev/min × (2π rad/rev) × (1 min / 60 s) = 4.71 rad/s

    r = 10 cm = 0.10 m

    1) The linear speed is:

    v = ωr

    v = (4.71 rad/s) (0.10 m)

    v = 0.471 m/s

    2) The linear acceleration in the tangential direction is 0.

    The linear acceleration in the radial direction is:

    a = v² / r

    a = (0.471 m/s)² / (0.10 m)

    a = 2.22 m/s²

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