Results 1 to 4 of 4

Math Help - Rotational bodies

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    39

    Rotational bodies

    A car turns a corner with a radius of curvature of 18.2 m while braking to reduce its speed. If the brakes generate an angular deceleration of 0.7 rad/s2 what is the magnitude of the acceleration of the car half way through the corner when the car's linear speed is 4.2 m/s?

    [Specify units of 'm/s2' in your answer.]

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,629
    Thanks
    430
    Quote Originally Posted by jddery View Post
    A car turns a corner with a radius of curvature of 18.2 m while braking to reduce its speed. If the brakes generate an angular deceleration of 0.7 rad/s2 what is the magnitude of the acceleration of the car half way through the corner when the car's linear speed is 4.2 m/s?

    [Specify units of 'm/s2' in your answer.]

    |a| = \sqrt{a_T^2 + a_c^2}

    where tangential acceleration is a_T = r\alpha

    and centripetal acceleration is a_c = \frac{v^2}{r}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Nov 2009
    Posts
    39
    hey thanks that worked

    now how did you come up with that equation? is that a defined equation in a text book?
    or did you simply know that adding the tangential acceleration with the centripetal acceleration by means of Pythagorus would result in acceleration?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by jddery View Post
    hey thanks that worked

    now how did you come up with that equation? is that a defined equation in a text book?
    or did you simply know that adding the tangential acceleration with the centripetal acceleration by means of Pythagorus would result in acceleration?
    THe car experiences 2 types of acceleration ie tangential a and centripetal a (towards the centre) . So its resultant acceleration would be the vector sum of the 2 accelerations . Phythagoras would give you the result since the 2 accelrations are 90 to each other .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Bodies with potential energy
    Posted in the Math Topics Forum
    Replies: 8
    Last Post: January 17th 2011, 01:26 PM
  2. Statics of rigid bodies
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 15th 2009, 01:51 PM
  3. Falling Bodies?
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: May 12th 2008, 08:09 PM
  4. Statics of rigid bodies
    Posted in the Advanced Applied Math Forum
    Replies: 4
    Last Post: February 10th 2008, 08:44 PM
  5. Statics of Rigid Bodies.
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: January 28th 2008, 01:47 PM

Search Tags


/mathhelpforum @mathhelpforum