- 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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Stuck again. The paper just says that the position of an object is given by s(t)=t^3. When T=5sec find A. Position B. Velocity C. Acceleration I'm trying to use the "position equation" which is s=1/2 a t^2 = Vot However, what do I …
  2. AP Physics

    can you please explain this to me... Were given this eqaution x = At^2 + B were A = 2.10 m/s^2 B = 2.80 m ok and this is an example problem and it's wlking us through it find the instantaneous velocity at t=t2=5.00s equlas the slope …
  3. physics

    a train slows down from 104m/s to 76m/s with constant decceleration in 440m. 1) what is the acceleration of the train?
  4. math

    the passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres. solve a polynomial equation to determine the dimensions of the section of the train if the volume is 117m^3.
  5. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 ¡Ü t ¡Ü 30) a. Find …
  6. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 _< t _< 30) a. Find …
  7. Physic

    Consider the equation v = (1/4)zxt^2. The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 4 is dimensionless. What must be the dimensions of the variable z, such that both sides …
  8. Math

    The passenger section of a train has width 2x-7, length 2x+3 and height x-2 with all dimensions in metres. Solve a polynomial equation to determine the dimensions of the section of the train if the volume is 117 m^3
  9. PHYSICS

    The position of a particle moving on a smooth horizontal floor is given as a function of time according to the equation x=ut+1/2at^2. At time t=0, the particle has the velocity u. Obtain an expression for the velocity as the function …
  10. Science - Northern technical college

    An electric train starting from rest is uniformly accelerated in a distance of 40m to a velocity of 10m/s, for this journey. (I).Calculate the time taken by the train. (II). The acceleration of the train.

More Similar Questions