Results 1 to 2 of 2

Math Help - A circular...

  1. #1
    Newbie
    Joined
    Jun 2006
    Posts
    21

    Exclamation A circular...

    A circular steel plate of radius 0.10 m is cooled from 350oC to 20oC. By what percentage does the plate's area decrease?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by babygirl
    A circular steel plate of radius 0.10 m is cooled from 350oC to 20oC. By what percentage does the plate's area decrease?
    The coefficient of linear expansion of steel is \alpha=12 \times 10^{-6}/^{\circ} K, so in coolling by \Delta T=330^{\circ} C\ (=330^{\circ} K) the radius shrinks from 0.1\ \mbox{m} to 0.1-0.1\times \alpha \times \Delta T or by a fraction \alpha \times \Delta T , so the area reduces by about twice this as a fraction or 2 \times \alpha \times \Delta T\approx 2 \times 12 \times 10^{-6} \times 330 = 0.00792 , or 0.792 \%.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circular Problems
    Posted in the Geometry Forum
    Replies: 4
    Last Post: April 8th 2011, 12:51 PM
  2. Replies: 8
    Last Post: September 7th 2010, 05:37 AM
  3. Circular Cone
    Posted in the Geometry Forum
    Replies: 1
    Last Post: November 20th 2009, 08:33 AM
  4. right circular cone
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 21st 2009, 05:27 PM
  5. circular motion
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: July 26th 2009, 05:19 AM

Search Tags


/mathhelpforum @mathhelpforum