Question: The length of a rectangle is given as L I and its with as W w. (a) Show that the uncertainty in its

The length of a rectangle is given as L ± I and its with as W ± w.

(a) Show that the uncertainty in its area A is a = Lw + lW. Assume that the uncertainties I and w are small. so that the product lw is very small and you can ignore it.

(b) Show that the fractional uncertainty in the area is equal to the sum of the fractional uncertainty in length and the fractional uncertainty in width.

(c) A rectangular solid has dimensions L ± I. W ± w, and H ± h. Find the fractional uncertainty in the volume, and show that it equals the sum of the fractional uncertainties in the length width, and height.

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY Add the vector displacements of the receiver and ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

60-P-M-V (165).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The length of a rectangle is 3 inches more than the width. Let W be the width (in inches), L be the length (in inches), and A be the area (in square inches). a. Sketch three possible rectangles of...

The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 64 m, find its length and width.

The length of a rectangle is twice the width. Let W be the width (in inches), L be the length (in inches), and A be the area (in square inches). a. Sketch three possible rectangles in which the...

The program should compute the area for each shape instance then write dimension(s) and the area to the corresponding output file. You will create an output file for each shape type. All circle data...

Define a Rectangle class that provides getLength and getWidth. Using the findMax routines like in the Figure below, write a main that creates an array of Rectangle and finds the largest Rectangle...

Macmill X B Chapter X @ Chapter X Macmill: X Manzan X G Give me X M Sent Ma X My Driv X Manzan X Manzan X Edready X *Homew X + C...

#include #include using namespace std; void arithmetic() { int op = 0; float A = 0; float B = 0; float a,b,c,l,d,area,volume; cout>op; cout>A; cout>B; cout { case 1: cout cout void trignometric() {...

#include #include using namespace std; void arithmetic() { int op = 0; float A = 0; float B = 0; float a,b,c,l,d,area,volume; cout

The area, A, of a rectangle is given. A=30 L = x+8 W = x+2 a) Write an equation for the area. b) Solve the equation for x.

6. [-/1 Points] DETAILS LARCALC11 2.3.083. MY NOTES ASK YOUR TEACHER The length of a rectangle is given by 7t + 3 and its height is vt, where t is time in seconds and the dimensions are in...

Thunder Cat Services specializes in training and veterinary services to household pets, such as dogs, birds, lizards, fish, horses, and of course, cats. After the first 11 months of operations in...

Why is it important to have a written lease? What should a rental contract include?

Title of Paper: Restatement Disclosures and Management Earnings Forecasts By Ettredge, Huang and Zhang a . ) Financial restatements create two competing incentives regarding subsequent voluntary...

QUESTION 1 How many protons are in the nucleus of the following elements? a) Carbon, C b) Potassium, K a) 12 b) 39 a) 12.011 b) 39.0983 a) 18 b) 58 a) 6 b) 19

A service strategy that allows customers many different options for ordering and fulfillment of purchases is known as: a. Customer success. b. Omnichannel c. Flexible purchasing. d. Customer...

The half-life of cobalt 60 is 5 years. (o) Obtain an exponential decay model for cobalt 60 in the form o- Q. (Round the decay constant to three significant digits.) Q(t) = e0.13

In a town with exactly 1,000 residents,60 percent of the residents make healthy choices, and 40 percent of the residents consistently make unhealthy choices. The health insurance company in town...

Use the fact that the observed magnetic moment of a proton is 1.4 10-6 A m" to estimate the speed of its quarks. For this estimate, assume that the quarks move in circular orbits of radius 0.80 fm...

Determine the approximate probing distance of a photon with an energy of 2.0 keV.

Draw a Feynman diagram for an electron-proton scattering, e- + p e- + p, mediated by photon exchange.

Tristar Manufacturing produces two types of battery-operated toy soldiers: infantry and special forces. The soldiers are produced by using one continuous process. Four activities have been...

Required Annuity Payments Assume that your father is now 50 years old, plans to retire in 10 years, and expects to live for 25 years after he retires - that is, until age 85. He wants his first...

statistical methods X A study compared the number of calls to 911 emergency centers in the cities of Gatineau and Saint- Jerome. From the random samples of calls made to the services of the two...