The left hand side is a length, of dimensions L. The answer you have given would give the corresponding term dimensions of L / T. c =

Example 1.1 Analysis of an Equation Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 L/T L/T2 SI units m2 m3 m/s m/s2 U.S. customary units ft2 ft3 ft/s ft/s2 Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. SOLVE IT Identify the dimensions of v from the table above: [v] = L T Identify the dimensions of a from the table above and multiply by the dimensions of t: [at] = L T2 T = L T Therefore, v = at is dimensionally correct because we have the same dimensions on both sides. (If the expression were given as v = at2, it would be dimensionally incorrect. Try it and see!) MASTER IT HINTS: GETTING STARTED | I’M STUCK! Suppose you are given the following equation, where xf and xi represent positions at two instants of time, vxi is a velocity, ax is an acceleration, t is an instant of time, and a, b, and c are integers. xf = xita + vxitb + axtc For what values of a, b, and c is this equation dimensionally correct? a =

Treat the units for each quantity as algebraic quantities and take into account their cancellation. The right and left sides of the equation must have the same units throughout. b = L

The left hand side is a length, of dimensions L. The answer you have given would give the corresponding term dimensions of L / T. c =

Calculate your order
275 words
Total price: $0.00

Top-quality papers guaranteed

54

100% original papers

We sell only unique pieces of writing completed according to your demands.

54

Confidential service

We use security encryption to keep your personal data protected.

54

Money-back guarantee

We can give your money back if something goes wrong with your order.

Enjoy the free features we offer to everyone

  1. Title page

    Get a free title page formatted according to the specifics of your particular style.

  2. Custom formatting

    Request us to use APA, MLA, Harvard, Chicago, or any other style for your essay.

  3. Bibliography page

    Don’t pay extra for a list of references that perfectly fits your academic needs.

  4. 24/7 support assistance

    Ask us a question anytime you need to—we don’t charge extra for supporting you!

Calculate how much your essay costs

Type of paper
Academic level
Deadline
550 words

How to place an order

  • Choose the number of pages, your academic level, and deadline
  • Push the orange button
  • Give instructions for your paper
  • Pay with PayPal or a credit card
  • Track the progress of your order
  • Approve and enjoy your custom paper

Ask experts to write you a cheap essay of excellent quality

Place an order

Order your essay today and save 7% with the discount code DISSERT7