Spin cycles of washing machines remove water from clothes by producing a large radial acceleration at the rim of the cylindrical tub that ho

Question

Spin cycles of washing machines remove water from clothes by producing a large radial acceleration at the rim of the cylindrical tub that holds the water and clothes. Suppose that the diameter of the tub in a typical home washing machine is 50 cm.

Required:
What is the rotation rate, in rev/min, of the tub during the spin cycle if the radial acceleration of points on the tub wall is 3g?

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Thái Dương 4 years 2021-07-18T08:54:05+00:00 1 Answers 68 views 0

Answers ( )

  1. haidang
    0
    2021-07-18T08:55:50+00:00
    Reply

    Answer:

    The rate of rotation is 1123.6 rpm.

    Explanation:

    diameter of tub =50 cm

    radius of tub, r = 25 cm = 0.25 m

    Acceleration, a = 3 g

    The centripetal acceleration is given by

    a = r w^2\\\\3\times 9.8 =0.25 \times w^2\\\\w = 117.6 rad/s\\\\w = 2\pi n \\\\117.6 = 2\times 3.14 \times n\\\\n = 18.73 rps = 1123.6 rpm

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