A hard drive disk rotates at 7200 rpm. The disk has a diameter of 5.1 in (13 cm). What is the speed of a point 6.0 cm from the center axle

Question

A hard drive disk rotates at 7200 rpm. The disk has a diameter of 5.1 in (13 cm). What is the speed of a point 6.0 cm from the center axle

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Thành Đạt 3 years 2021-08-17T07:06:21+00:00 1 Answers 57 views 0

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    2021-08-17T07:08:16+00:00

    Answer:

    The speed will be “3.4×10⁴ m/s²“.

    Explanation:

    The given values are:

    Angular speed,

    w = 7200 rpm

    i.e.,

      = 7200 \times  \frac{2 \pi}{60}

      = 753.6 \ rad/s

    Speed from the center,

    r = 6.0 cm

    As we know,

    ⇒  Linear speed, v=wr

    On putting the estimated values, we get

                                   =753.6\times 0.06

                                   =45.216 \ m

    Now,

    Acceleration on disk will be:

    ⇒  a=\frac{v^2}{r}

           =34074 \ m/s^2

           =3.4\times 10^4 \ m/s^2

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