Results 1 to 3 of 3

Math Help - sinusoidal applications and the derivative

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    America
    Posts
    22

    sinusoidal applications and the derivative

    Please help with these questions:

    1.A marble is placed on the end of a horizontal oscillating spring. For the given signal determine:
    i) the period, T, in seconds
    ii)the frequency, f, in hertz
    iii) the amplitude, A, in volts

    2. consider a simple pendelum that has a length of 50cm and a maximum horizontal displacement of 8cm.
    a) find the period of the pendelum
    b) determine a function that gives the horizontal position of the bob as a function of time
    c) determine a function that gives the velocity of the bob as a function of time
    d) determine a function that gives the acceleration of the bob as a function of time

    My teacher said that the horizontal position is also the displacement function; the velocity is the derivative of the displacement function and acceleration is the derivative of the velocity function. Please clarify. Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Ruun's Avatar
    Joined
    Mar 2009
    From
    North of Spain
    Posts
    129
    Thanks
    13

    Re: sinusoidal applications and the derivative

    1) Which signal are you given? The Period is just the amount of time that a function repeats itself. For example \sin(t) has period T=2\pi because \sin(t)=\sin(t+2\pi)

    2) Do you know the equation of the period of a pendulum? In the small angle approximation (which is the approximation that you're using) it is a very simple function of its length. Once you have the function that gives the horizontal position, their first and second time derivatives will give you the velocity and acceleration respectively. Because it is their definition, the velocity is the time derivative of the position, and the acceleration is the time derivative of the velocity.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2013
    From
    America
    Posts
    22

    Re: sinusoidal applications and the derivative

    sinusoidal applications and the derivative-snapshot_20130403.jpg

    For 1. i've included a picture of the question from the textbook. in regards to the given signal, i'm not sure if the question is referring to the picture of the purple marble on the end of the horizontal spring.

    For 2. the back fo the textbook says the period is 1.412 seconds. But I'm still confused as to how they got that. Please clarify.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Applications of derivative.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 22nd 2012, 04:17 AM
  2. Derivative of applications
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 22nd 2011, 04:27 AM
  3. Derivative and Applications Question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 12th 2010, 01:25 PM
  4. Trig derivative applications
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 28th 2010, 10:48 AM
  5. [SOLVED] [SOLVED] sinusoidal applications
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 3rd 2007, 04:40 PM

Search Tags


/mathhelpforum @mathhelpforum