A factory has a machine which bends wire at a rate of 2 unit(s) of curvature per second. How long does it take to bend a straight wire into

Question

A factory has a machine which bends wire at a rate of 2 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 7

in progress 0
Khang Minh 4 years 2021-08-27T19:36:41+00:00 2 Answers 38 views 0

Answers ( )

  1. Philomena
    0
    2021-08-27T19:37:51+00:00
    Reply

    Answer:

    21.994 seconds

    Explanation:

    l = length of the wire

    r = radius of bend = 7

    Perimeter of the bend = perimeter of a circle = 2πr

    Perimeter = dl = 2 * π * 7 = 14π

    dl = 14π ……………(1)

    Rate of bend = dl/dt =2 units/sec

    dl = 2 dt……………(2)

    Equate (1) and (2)

    2 dt = 14π

    dt = 14π/2

    dt = 7π seconds

    dt = 21.994 seconds

  2. Dulcie
    0
    2021-08-27T19:38:16+00:00
    Reply

    Answer:

    \Delta t = 3.5\,s

    Explanation:

    Time require per unit is directly proportional to need radio of curvature. In other words:

    \Delta t \propto \rho

    The time requiered to bend the straight wire into a circule of radius 7 is estimated by simple rule of three:

    \Delta t = \frac{7\,u}{2\,u}\cdot (1\,s)

    \Delta t = 3.5\,s

Leave an answer

Browse

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