As the drawing illustrates, a siren can be made by blowing a jet of air through 20 equally spaced holes in a rotating disk. The time it take

Question

As the drawing illustrates, a siren can be made by blowing a jet of air through 20 equally spaced holes in a rotating disk. The time it takes for successive holes to move past the air jet is the period of the sound. The siren is to produce a 2087.8-Hz tone. What must be the angular speed ω (in rad/s) of the disk?

in progress 0
Euphemia 5 years 2021-08-18T20:46:22+00:00 2 Answers 12 views 0

Answers ( )

  1. danthu
    0
    2021-08-18T20:47:57+00:00
    Reply

    Answer: 656 rad/s

    Explanation:

    Angular frequency is also called radial circular frequency. It measures angular displacement per unit time. It’s unit is rad/s. It is also greater than the regular frequency by a factor of 2π. Hence, angular frequency, ω = 2πf

    If 1 revolution(20 hole) = 20 cycle per revolution.

    Then, 2087.8(cycle) = x revolution

    X revolution = 2087.8/20)

    X revolution = 104.39 revolution

    ω = 2πf

    ω = 2 * π * 104.39

    ω = 655.98676

    ω ~ 656 rad/s

  2. Sapo1
    0
    2021-08-18T20:47:59+00:00
    Reply

    Answer:

    Explanation:

    Given:

    n = 20 holes

    f = 2087.8 Hz

    1rev = 20 hole

    = 20 cycle/rev

    ω = (2π × f) × n

    n = number of cycles per revolution

    = 1/20

    = 0.05 rev/cycle

    ω = 2π × 2087.8 × 0.05

    = 655.9 rad/s

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )