A water wheel with radius R_w = 1.8 m and mass M_w = 1.3 x 10³ kg is used to power a grain mill next to a river. Treat

Question

A water wheel with radius R_w = 1.8 m and mass M_w = 1.3 x 10³ kg is used to power a grain mill next to a river. Treat the water wheel as a hollow cylinder. The rushing water of the river rotates the wheel with a constant frequency fr = 1.4 Hz.
R_w = 1.7m
M_w = 17x 10³ kg
f_r = 2.2 Hz
Calculate the angular velocity aw of the water wheel in radians/sec.

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Kim Chi 5 years 2021-07-26T15:46:15+00:00 1 Answers 128 views 0

Answers ( )

  1. linhdan
    0
    2021-07-26T15:47:56+00:00
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    Answer:

    The angular velocity of the wheel is \bf{8.79~rad/s}.

    Explanation:

    Given:

    The radius of the wheel, R_{w} = 1.8~m

    The mass of the wheel, M_{w} = 1.3 \times 10^{3}~Kg

    The angular frequency of the wheel, f = 1.4~Hz

    The angular velocity is given by

    \omega = 2 \pi f\\~~~= 2 \pi (1.4~Hz)\\~~~= 8.79~rad/s

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