Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
In lecture no. 1 (Units, Dimensions, and Scaling Arguments) Professor Lewin does a dimensional analysis in which he insists that, if there is only time (t) on one side of the equation, you can’t have length (L), mass (M), or acceleration (g) on the right side. He states this as an axiom. Yet, he eventually derives the equation t = C (h/g)^2. In that equation, time (t) is on one side, and length (h) and acceleration (g) are on the other. There is no height/distance on the left side of the equation, so how can there be height and acceleration on the right?
 10 months ago
 10 months ago
In lecture no. 1 (Units, Dimensions, and Scaling Arguments) Professor Lewin does a dimensional analysis in which he insists that, if there is only time (t) on one side of the equation, you can’t have length (L), mass (M), or acceleration (g) on the right side. He states this as an axiom. Yet, he eventually derives the equation t = C (h/g)^2. In that equation, time (t) is on one side, and length (h) and acceleration (g) are on the other. There is no height/distance on the left side of the equation, so how can there be height and acceleration on the right?
 10 months ago
 10 months ago

This Question is Open

moharyBest ResponseYou've already chosen the best response.1
Its not that he created the components of the equation from thin air. You are allowed to have anything you please on either side of the equation as long as you find it that the units cancel each other out. He had time on one side, and \[\sqrt{h/g}\] which, if you speak in strictly dimensions, is \[\sqrt{meters/meters/seconds ^{2}}\] you clean up that equation \[\sqrt{meters \times seconds ^{2}/meters}\] which is finally equal to seconds. The two sides of the same units.
 10 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.