Results 1 to 2 of 2

Thread: Finding a sine or cos function for a word problem question

  1. #1
    Newbie
    Joined
    Feb 2017
    From
    Canada
    Posts
    17

    Finding a sine or cos function for a word problem question

    A spherical chocolate drops onto the top of a turning paddle wheel of radius 2.5m. The wheel rotates once every 3 seconds and its bottom is positioned at ground level.
    a) How high is the chocolate after 1 second?
    Since period = 3s, I think a equation for this scenario would be 2.5 cos (2pix)/3 +2.5. Then, the height would be 1.25m after 1 second. Is this correct?
    b) The first time the chocolate reaches the bottom, it rolls off the paddle wheel with the same velocity it had when it traveled halfway around the wheel's circumference. It rolls to you, lying flat on the ground, with your mouth open, 5 meters away. Ignoring all friction, how long does it take for the chocolate to travel from the top of the paddle wheel to your mouth.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    16,072
    Thanks
    3634

    Re: Finding a sine or cos function for a word problem question

    Part (a) is fine. I'd use $t$ for the independent variable instead of $x$ ... $h(t) = 2.5\cos(\omega t) + 2.5$

    Part (b) ... $v=r\omega \implies d=r\omega t$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Word Problem - Using the Sine Law
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 13th 2014, 10:53 AM
  2. Finding the equation of a sine function
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Dec 18th 2011, 09:24 AM
  3. Replies: 4
    Last Post: Oct 6th 2009, 12:11 PM
  4. Finding the domain of an inverse sine function
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Mar 27th 2009, 07:30 PM
  5. word problem involving law of sine
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Nov 19th 2005, 11:35 PM

/mathhelpforum @mathhelpforum