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15 November, 15:08

A simple model of the core of a tornado is a right circular cylinder that rotates about its axis. If a tornado has a core diameter of 160 feet and maximum wind speed of 150 mi/hr (or 220 ft/sec) at the perimeter of the core, approximate the number of revolutions the core makes each minute.

Question 8 options:

25.3 rev/min

24.3 rev/min

26.3 rev/min

23.3 rev/min

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Answers (1)
  1. 15 November, 15:12
    0
    26.3 rev/min

    Step-by-step explanation:

    The angular velocity (ω) is the linear velocity divided by the radius (r = 80 feet)

    ω = 220/80 = 2.75 rad/s

    The angular velocity and the frequency are related by:

    ω = 2π*f

    2.75 = 6.28*f

    f = 2.75/6.28

    f = 0.438 rev/s * 60s/1min

    f = 26.3 rev/min
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