Physics

Consider the equation
v = 1/8zxt2. The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 8 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? (Use the following as necessary: [L], [T].)

  1. 👍 0
  2. 👎 0
  3. 👁 174
asked by Natalie
  1. I don't know if you meant this

    1/(8zxt^2) or not. Substitute the units into the eqwuation and solve for z.

    1. 👍 0
    2. 👎 0
    posted by bobpursley
  2. I'm sorry, yes that is what I meant, but the difficulty I'm having is solving for z. I get it to a certain point and then I get stuck.

    1. 👍 0
    2. 👎 0
    posted by Natalie
  3. z=1/(8xt^2)

    looking at 8xt^2, units must be L*T^2

    so units for z must be 1/(LT^2)

    1. 👍 0
    2. 👎 0
    posted by bobpursley
  4. I think you forgot the v:
    v = 1/8zxt^2
    z = 1/8vxt^2
    = 1/(L/T * L * T^2)
    = 1/L^2T

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Consider the equation v = 1/4zxt^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

    asked by Kristie on September 2, 2012
  2. Physics

    Consider the equation v = (1/7)zxt2. The dimensions of the variables v, x, and t are [L/T], [L], and [T] respectively. The numerical factor 7 is dimensionless. What must be the dimensions of the variable z, such that both sides of

    asked by Harry on October 16, 2015
  3. 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

    asked by isalbelle on September 5, 2013
  4. Math (Stats)

    In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables? A. The correlation between variables must be an x-value of a point on the graph. B. The

    asked by Ray on March 11, 2017
  5. math

    Can someone correct this for me please or help me out.... Why are variables useful in algebra? My answer: Variables are useful in algebra because they detemine an answer that anyone is trying to get to. Variables can represent a

    asked by jasmine20 on January 1, 2007
  6. Math Help

    The length of Joe's rectangular garden is 1 meter less than twice its width, and its area is 120m^2. Find the dimensions of the garden by setting up a quadratic equation and define its variables.

    asked by Hal on May 13, 2014
  7. math/algebra

    I have a question of how do I determine the variables when graphing linear equation? For an example graph x+2y=4, how do you come up with the variables as (0,2) (2,1) and (4,0)? The example in my book does not tell me how they

    asked by ms jay on August 23, 2007
  8. algebra1/McDougal Littell

    evaluate the expression for the given values of the variables. (a+b)3 when a=3 and b= 5 Just plug in the variables. so the equation would be 3(3+5) then distribute(multiply both 5 and three by three) 9+15, you can do the rest

    asked by tonya on September 14, 2006
  9. Statistics

    I neep help on two questions! A condition that occurs in multiple regression analysis if the independent variables are themselves correlated is known as: 1. autocorrelation 2. stepwise regression 3. multicorrelation 4.

    asked by Debra on September 14, 2008
  10. pre calc

    The variables x and y vary directly. When x=12, y=9. Write an equation that relates the variables.

    asked by Jess on June 8, 2015

More Similar Questions