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- Physic college

posted by .

The equation for the change of position of a train starting at x
= 0 is given by
x=1/2at^2 + bt3 . Find the dimensions of a and b.



If y = C1 sin (C2 t)
where y is a distance and t is the time. What are the dimensions of C1 and
C2 ?.

  • - Physic college -

    x=1/2 a t^2 + bt^3

    if at^2 is distance, then a must be distance/time^2

    b has to be distance per time^3

    If y is distance, C1 must be distance. C2 must be 1/time

  • - Physic college -

    if at^2 is distance, then a must be distance/time^2

    okay but from where can i get distance ?!
    i mean as a number !

    also here sin (C2 t) i think it is constant so we can't take dimension or i am wrong :(

    Again Thank u a lot :D

  • - Physic college -

    You are solving dimensional analysis here, just the dimensions. There are no numbers.

    The argument in a trig function is in radians, So C2*time must divide out all units, so C2 is 1/time.

  • - Physic college -

    should we divied it , I mean solve it like
    x = 1/2at^2 ,x= bt^3 and take each part individual !


    how can get red of (sin) from this formula ,
    also here should i handle it individual !

  • - Physic college -

    af

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