Using dimensional analysis, determine if the following equation is dimensionally correct or incorrect: s = s0 sin kt, where k is a constant that has the dimension of the inverse of time.
Using dimensional analysis, determine if the following equation is dimensionally correct or incorrect: s = s0...
Dimensional analysis: show that each of following equations is dimensionally correct or incorrect x=distance, v=velocity, v.=velocity, a=acceleration, t=time 1. x=vt2-at 2. v2=2ax-v2 3. x=v2/4a 4. V=1/3pieR3h where V=volume of a conical shape, pie=con tan t, R=radius, and h=height
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
Dimensional Analysis Chapter 1: Measurement and Mathematics Conceptual problems 1.C.5 The following variables are commonly seen in equations. The name of the (2.00) quantity represented by each variable, and its dimension(s), are also shown. x distance (L) t time (T) m mass (M) a acceleration (LT2) v speed (L/T) F force (ML/T2) Using the information above, check the boxes of the equations that are dimensionally correct. Select all that apply O F= ma 0 V2 = 2ax v = at...
Question Completion Status: QUESTION 10 Dirnensional analysis can be used to spot incorrect equation. Example: Given the equation V v2+2ax2 Is this equation correct if V has the dimension ILVTI, x has 1 dimension [L] and a has dimension [LVTp Answer: the equation is incorrect because ax2 has the dimension [L3VIT2] which is not the same as the dimension of V2 which is [L21/T2]. Question: Which of the following equations is incorrect? The dimension of x, v, a and t...
1. Express the answer to the following problems using the correct number of significant figures a. 1.144 x 10 20.0 b. 4.77 x 101 -9.16 x 10 2. Express the Boltzmann constant (1.38065 x 102" kg m's K') in units of miles' lb yrK 3. Convert 9.997 x 101 g cm* into kg km 4. The Reynolds number is used to deseribe the conditions of particle settling If the Reynolds number is given by the following equation Where v, is...
(b) y = (2 m) cos(kx), where k = 2m-1 0 This equation is dimensionally correct. O This equation is not dimensionally correct. Need Help? Resd R 8. " +-/1 points SerPSE10 1.4.OP007 A large industrial loader can move 1,100 tons/h of gravel from one point to another an a work site. What is this rate in lb/s? Note that 1 ton 2,000 iB. b/s Need Help? İmana My No 9. -/1 points SerPSE10 14.OP008. A rectangular plot of farmland...
Homework 1.2-Dimensional Analysis Suppose we know the following Variable Has the dimensions of IT]2 [T IT] L] LI[M] [LI3 MI[L]2 Determine if each equation is dimensionally valid. 1. u2=ax 2, mvt = dz? 4, max=h Wirie wo ifet variable expressins hat have the dimensonsWM
Kinetic energy KE (Chapter 5) has dimensions kg·m2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m asDetermine the proper units for momentum using dimensional analysis. (Use the following as necessary: m, kg, and s.)
Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute dimensional system, and, (2) the gravitational dimensional system Here, x, x1, and x2 represent lengths , t is time, m is a constant mass, <a represents acceleration, g is a constant acceleration, and F represents force E is an unknown constant quantity drr2(t) dt C2 E mg 「x(t) dt Exercise 2 Given that F is a force. is a displacement. θ is an angle,...
2. a) Linearize the following equation where s and t are the variables: 2 b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration. and t is a time)