An electric motor rotating a workshop grinding wheel at a rate of 151 rev/min is switched off. Assume constant angular deceleration of magni

Question

An electric motor rotating a workshop grinding wheel at a rate of 151 rev/min is switched off. Assume constant angular deceleration of magnitude 2.23 rad/s 2 . Through how many revolutions does the wheel turn before it finally comes to rest

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Thông Đạt 4 years 2021-08-18T23:48:47+00:00 1 Answers 30 views 0

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  1. ngockhue
    0
    2021-08-18T23:49:57+00:00
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    Answer:

    Explanation:

    Initial angular velocity ω₀ = 151 x 2π / 60

    = 15.8  rad /s

    final velocity = 0

    Angular deceleration α = 2.23 rad / s

    ω² = ω₀² –  2 α θ

    0 = 15.8² – 2 x 2.23 θ

    = 55.99  rad

    one revolution = 2π radian

    55.99 radian = 55.99  / 2 π no of terns

    = 9 approx .

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