Inverse of Involute function Calculator

Calculates the inverse of the involute function using Newton method.


Inverse of Involute function
involute inv(θ)
    1. radian

pressure angle θ
    1.  
    2. degree
=
    1.  
    2. radian

    Inverse of Involute function
    [1-10] /15Disp-Num
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    [1]  2018/08/25 05:15   - / - / - / - /
    Bug report
    Is x0 really (3*inv(theta))^(1/3) for y < 1.2?
    I made a script to calculate the inverse of the involute and it never converged by this formula. When I tried just inv(theta)^(1/3), it started to converge.
    from Keisan
    Thank you for your advice.We've fixed it as below.
    (3*inv(theta))^(-1/3)
    -> (3*inv(theta))^(1/3)
    [2]  2018/07/19 23:20   Male / 60 years old level or over / An engineer / Very /
    Purpose of use
    calculating over wires dimensions. I don''t have access to Buckingham''s involute tables
    Comment/Request
    This is an enormous help in my job. I am learning splines pretty late in life
    [3]  2018/02/12 04:08   Male / 40 years old level / Self-employed people / Very /
    Purpose of use
    Studying the Newton''s method.
    [4]  2017/12/01 03:06   Male / 20 years old level / An engineer / Very /
    Purpose of use
    Calculating for over pin dia in gears and also for referencing for use for making own excel calculator with excel programming
    [5]  2017/08/23 03:28   Male / 20 years old level / An engineer / Very /
    Purpose of use
    Inverse of involute function was used during one step of calculating the distance between pins of an internal involute spline.
    [6]  2017/06/15 09:16   Male / 30 years old level / An engineer / Useful /
    Purpose of use
    to collect the Involute function for Shifted Profile Gear
    [7]  2016/09/08 14:52   Male / 20 years old level / An office worker / A public employee / Useful /
    Purpose of use
    Gear cutting tool designing
    [8]  2016/08/18 21:54   Male / 60 years old level or over / Self-employed people / Very /
    Purpose of use
    Useful for calculating centres of Addendum Modified gears
    [9]  2015/05/06 22:57   Male / 60 years old level or over / An engineer / Useful /
    Purpose of use
    verify answers from separate calculations
    [10]  2015/05/04 02:42   Male / 60 years old level or over / An engineer / Very /
    Purpose of use
    calculate the dimention over wires for spur gears and helical gears also for the dimention
    between wires for internal gears

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