The blades on a fan rotate at 750 revolutions per minute and have a diameter of 16 inches. Find the angular velocity of a fan blade and the

Question

The blades on a fan rotate at 750 revolutions per minute and have a diameter of 16 inches. Find the angular velocity of a fan blade and the linear speed of a point on the tip of the fan blade. Use 3.1416 as the value of pi.

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Neala 4 years 2021-07-20T17:04:12+00:00 1 Answers 29 views 0

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  1. kimcuc
    0
    2021-07-20T17:05:21+00:00
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    Answer:

    Angular velocity \omega = 78.5 \frac{rad}{s}

    The value of liner speed of a point on the tip of the fan blade V = 16 \frac{m}{s}

    Explanation:

    Given data

    N = 750 R.P.M

    D = 16 in = 0.4064 m

    R = 0.2032 m

    Angular velocity of a fan blade is given by

    \omega = \frac{2 \pi N}{60}

    Put all the values in above formula we get

    \omega = \frac{2 (3.14)(750)}{60}

    \omega = 78.5 \frac{rad}{s}

    The linear speed of a point on the tip of the fan blade is given by

    V = R \omega

    V = 0.2032 × 78.5

    V = 16 \frac{m}{s}

    This is the value of liner speed.

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