Answered: Find the change in area of a rectangle…

Science

Physics

Find the change in area of a rectangle if the error in length L is 3% and error in width W is -1% 2% 1% 3%

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.8P

See similar textbooks

Related questions

Q: A student wanted to find the value of factor A experimentally in the equation F=9.2Av?. If the…

A: Given: The expression for the equation is given as. F=9.2Av2…

Q: Show whether or not the following equation is dimensionally correct. Note that [s] = L, [v] = L/T,…

A: For an equation to be dimensionally correct, its dimensions must be equal at both LHS and RHS. The…

Q: Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and…

A: Given:Force,F=65NPosition Vector,rFrF=25i-40j+120kUnit vector,FF=FrF|rF|…

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Given data: New width (b1) = 2b New length (l1) = 1.89 l New height (h1) = 1.20 h Required: Factor…

Q: Show whether or not the following equation is dimensionally correct. Note that [s] = L, [v] = L/T,…

A: Given data: s=Lv=L/Ta=L/T2t=T v2=2as-3(vs)/t+7a2t

Q: Calculate the absolute error, relative error, parts per thousand and parts per million error for the…

A: Absolute error is given as: A.E=xi-x…

Q: If matrix A = 6 = then value of A100 is 100 10 100 100 100

A: Matrix A=[2 0; 0 1], Matrix A2 =A×A=[2 0; 0 1]×[2 0; 0 1]=[2×2+0×0 2×0+1×0;…

Q: 20 one - rupee coins are placed one above the other. If their total height is 32 mm, find the…

Q: y h y = b2 h

Q: A rectangular plate has length (2:0.02) cm and width (1+0.01) cm The maximum percentage error in the…

A: According to question we need to find the maximum percentage error in the measurement of its area ?

Q: In a right triangle the two sides that are at 90° are 30 and 61. What is the length of the…

Q: A rectangular plate has length (2±0.02) cm and width (1±0.01) cm The maximum percentage error in the…

Q: Find the area under the curve y = 21/x3 from x = 1 to x = t. Evaluate the area under the curve for t…

A: Given, the curve, y = 21x3 To get the area (A) under the curve 'y' from x =1 to x = t, we should…

Q: QUESTION 3 For the following three measurements trials L1 L2 L3 Length (cm) 2.3 2.5 2.9 Calculate…

A: First calculating the true value from the data; L=L1+L2+L33=2.3+2.5+2.93=2.567 cm

Q: The error in two readings of A are 0.01 and -0.03, then mean absolute error is ?

A: The error in two readings of A are 0.01 and -0.03 First, the absolute value of the errors is taken…

Q: If equation F = m.g + A.m is assumed to be dimensionally correct, then dimension of quantity A will…

Q: For the plane shown in Figure 1, with respect to X and Y axes determine the location of the centroid

Q: x² + 4x – 5 b Using Trigonometric Substitution dx = | f(e)dA · find the new limits of integration.…

A: Given that:- Basic mathematics equation is given in the question.

Q: IS a ge. Wld ough the sur the spner units of N m2/C? Select one: O a. 1.75 x105 O b. 1.7x 10-16 O .…

A: Use Gauss's Law to find flux Flux=sum of all charges within the surfaceε0 value of ε0=8.85×10-12…

Q: Blocks Length (cm) Length (in) Ratio (cm/in) #1 7.6 3.0 # 2 # 3 12.5 5.0 19.0 7.3 Mean % Error

Q: Show the equation v^2=vo^2+2ax is dimensionally correct

Q: Calculate the probable error in the volume of the container, in m3

A: Volume of rectangular prism = L W H

Q: Carry out the following arithmetic operations. (Enter your answers to the correct number of…

A: a)533+35.0+0.80+9=577.8Here 533 has no decimal place significant figure than answer shouldround off…

Q: The primary dimensions of the constants (a, b) given in the equation F(y) = V (by – ab) are equal…

A: The unit of a quantity in terms of dimension is defined as MxLyTz Here x,y and z depend on the unit…

Q: EACH Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT…

A: Given Dimensions of physical quantities [m] = M [s] =L [v]= LT-1 [a] = LT-2 [ t] = T Also…

Q: For an angle, u measured from the positive x - axis, the valuesof sin u and cos u are always (choose…

A: Maximum value of sin and cos functions are +1 and the minimum value for both is -1.Thus, option (d)…

Q: A surveyor measures the distance across a straight river by thefollowing method: starting directly…

A: Given:θ = 35.0° x = 1.00 x 102 m

Q: Calculate to the correct number of significant figures: 2.346 + 24.128 = 38.4 x 128.45 = Verify if…

Q: A teacher asks a pupil to measure the width of the science laboratory table. Which one of the…

A: Note : According to our guidelines , we are only allowed to answer 3 subparts per question . If you…

Q: You also measure the length of a side of the cube using a ruler and get the value 3.15+0.05 cm.…

A: We need to calculate volume with proper error uncertainty value.

Q: Perform the following operation leaving your answer with the correct number of significant figures:…

Q: Which of the following equations are dimensionally (units) consistent? 1. v = 1/2at2 2. t = v/a…

Q: Must two physical quantities have the same dimensions if you are subtracting them? Select one O True…

Q: A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and…

Q: Using trigonometrical functions, find out missing part (? or x) in the following figures. B 14 115 А…

Q: A student wanted to find the value of factor A experimentally in the equation F=5.3AV². If the…

A: Given : An equation : F = 5.3Av2 F is plotted in the y axis and v2 in the x axis. The aim is to…

Q: If the number of significant figures is 6, what is the value of the pre-specified Error(?s) Select…

Q: Locate the centroid of the shown area with respect to the shown x- and y-axis. All Dimensions are in…

Q: Use dimensional analysis to determine which of the following equation is certainly wrong: mv v=…

Q: A prism with square base each side with length x, height h.The measurements are: x = 25.3 +/- 0.5 cm…

A: Given value--- length = 25.3 +/- 0.5 . height = 35 +/- 0.3 . We have to find--- dv in cm³ ?

Q: 1.4 Units in equations Given that the following equation calculates position in meters (x) as a…

Q: A right triangle has a hypotenuse of length 2.80 m, and one of its angles is 29.0°. What are the…

Q: Using the laws of logarithms and exponentials solve the voltag battery 9*+1 – 36 3* + 27 = 0 log,(2x…

A: c) 3) We know that We have given the voltage in a charging capacitance as a function of time as…

Q: The diameter, d, of a small circular play area is 5.0 m + 0.1 m. The area, A, is calculated using…

A: The area is calculated using the equation,…

Q: If y equals to 9 minus 7x plus 2x squared, find y when x equals to 3?

Q: In one of the labs, a student found the length and width of a rectangular wooden board. The recorded…

Concept explainers

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.

Question

Find the change in area of a rectangle if the error in
length L is 3% and error in width W is -1%
2%
1%
3%
4%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Consider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L . Determine whether each of the following equations is dimensionally consistent. (a)v2=2as;(b)s=vt2+0.5at2;(c)v=s/t;(d)a=v/t
Is it possible for to be smaller than unity? `
Find the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed). 18. (a) Compute the order of magnitude of the mass of a bath-
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
Which vector has an angle with respect to the positive x-axis that is in the range of the inverse tangent function?
Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 . Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a)F=ma;(b)K=0.5mv2;(c)p=mv;(d)W=mas;(e)L=mvr
Suppose [V]=L3,[]=ML3, and [t]=T . (a) What is the dimension of dV? (b) What is the dimension of dV/dt? (c) What is the dimension of (dV/dt)?
Roughly how many heartbeats are there in a lifetime?
One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a convenient scale, and use a ruler and a protractor to find vector G given by the vector equation G=A+2BF . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
Calculate the approximate number of atoms in a bacterium. Assume the average mass of an atom in the bacterium is 10 times the mass of a proton.