The angular velocity of a flywheel obeys the equa tion w(1) A Br2, where t is in seconds and A and B are con stants having numerical values

Question

The angular velocity of a flywheel obeys the equa tion w(1) A Br2, where t is in seconds and A and B are con stants having numerical values 2.75 (for A) and 1.50 (for B). (a) What are the units of A and B if w, is in rad/s

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Thanh Hà 5 years 2021-07-27T14:08:40+00:00 1 Answers 17 views 0

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  1. Latifah
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    2021-07-27T14:10:19+00:00
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    Answer:

    A \to rad/s

    B \to rad/s^3

    Explanation:

    \omega_z(t)=A + Bt^2

    Required

    The units of A and B

    From the question, we understand that:

    \omega_z(t) \to rad/s

    This implies that each of A and Bt^2 will have the same unit as \omega_z(t)

    So, we have:

    A \to rad/s

    Bt^2 \to rad/s

    The unit of t is (s); So, the expression becomes

    B * s^2 \to rad/s

    Divide both sides by s^2

    B \to \frac{rad/s}{s^2}

    B \to rad/s^3

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