Results 1 to 4 of 4

Math Help - Calculus problem help?

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    United States
    Posts
    10

    Calculus problem help?

    A wheel has angular position theta = 0 (radians) at t = 0 (seconds). It then rotates with an angular velocity equal to .72t radians/sec. In radians per second, what is the average angular velocity from theta = 4 radians to theta = 9 radians? I got 3 for my answer but I'm not sure if it's right
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,026
    Thanks
    741

    Re: Calculus problem help?

    Hey achui17.

    Can you show us your working out for this problem?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2013
    From
    United States
    Posts
    10

    Re: Calculus problem help?

    I found P(t) = .36t^2 radian / sec. I found the times by setting P(t) equal to 9 rad and 4 rad. For 9 rad I got t =5 and for 4 rad i got t = 10/3. I then did (9 rad - 4 rad) / (5 - (10/3)) = 3
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,026
    Thanks
    741

    Re: Calculus problem help?

    That looks pretty good.

    Finding the average velocity is simply integrating the velocity over a particular region and then dividing by the length of that region (region in this case is time).

    Since the anti-derivative of velocity is just displacement (or position), then the integral will be P(5) - P(10/3) and the average just dividing this by (5 - 10/3) which is what you have done.

    R confirms your results as well:

    > 4/0.36
    [1] 11.11111
    > 100/9
    [1] 11.11111
    > 9/0.36
    [1] 25
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Calculus problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 29th 2010, 07:31 AM
  2. Calculus III problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: July 28th 2010, 09:47 PM
  3. Replies: 1
    Last Post: June 7th 2008, 12:47 PM
  4. Calculus Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 21st 2008, 06:39 PM
  5. pre calculus problem
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: May 16th 2007, 12:30 PM

Search Tags


/mathhelpforum @mathhelpforum