Results 1 to 4 of 4

Math Help - Circular motion problem

  1. #1
    Newbie
    Joined
    Dec 2011
    Posts
    2

    Circular motion problem

    A particle in Switzerland travels in a circle of radius 10 km. initially the time taken to complete one circuit is 1 second. After 10 seconds, the particle is travelling so fast that it can complete the same circuit in 0.5 seconds. What is the average tangential acceleration?
    (Hint: a particle travelling on a circle of radius R has tangential speed of Rdx/dt, where x is the polar angle in radian. Initially dx/dt= 2π, in this question. And the tangential acceleration is R(d^2 x)/(dt^2 )
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2011
    Posts
    73
    Thanks
    1

    Re: Circular motion problem

    Does the question say anything about when the particle begins accelerating?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2011
    Posts
    2

    Re: Circular motion problem

    No. that is all they have given.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2

    Re: Circular motion problem

    Quote Originally Posted by harryjames44 View Post
    A particle in Switzerland travels in a circle of radius 10 km. initially the time taken to complete one circuit is 1 second. After 10 seconds, the particle is travelling so fast that it can complete the same circuit in 0.5 seconds. What is the average tangential acceleration?
    (Hint: a particle travelling on a circle of radius R has tangential speed of Rdx/dt, where x is the polar angle in radian. Initially dx/dt= 2π, in this question. And the tangential acceleration is R(d^2 x)/(dt^2 )
    What is the initial tangential velocity? What is the final tangential velocity? Can you finish the problem from there?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Uniform Circular Motion Problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: February 28th 2010, 11:30 AM
  2. Is this Right? Circular Motion Problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: January 4th 2009, 05:20 AM
  3. Circular Motion Problem
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 30th 2008, 05:03 AM
  4. Circular Motion Problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: April 14th 2008, 04:08 AM

Search Tags


/mathhelpforum @mathhelpforum