Starting from rest, a DVD steadily accelerates to 500 rpm in 1.0 s, rotates at this angular speed for 3.0 s, then steadily decelerates to a

Question

Starting from rest, a DVD steadily accelerates to 500 rpm in 1.0 s, rotates at this angular speed for 3.0 s, then steadily decelerates to a halt in 2.0 s. How many revolutions does it make

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Josie 1 month 2021-10-18T07:06:39+00:00 1 Answer 0 views 0

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    2021-10-18T07:08:04+00:00

    Answer:

    37.5 revolutions

    Step-by-step explanation:

    The average rotation speed for the first second and for the last two seconds is:

    V_1 = \frac{0+500}{2}\\ V_1 = 250\ rpm

    For the next 3.0 seconds, the rotation speed is V = 500 rpm.

    The total number of revolutions, converting rpm to rps, is given by:

    n=\frac{1*V_1+3*V+2*V_1}{60}\\n=\frac{1*250+3*500*2*250}{60}\\n=37.5\ revolutions

    The DVD makes 37.5 revolutions.

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