Problem Statement: A ruler is repeatedly used to measure the length L of an object to the nearest mm. To no one's surprise, each measurementof L to the nearest mm gives the exact same answera What is the uncertainty in the measured length L?Grade SDeducticuncertaintyPotential blem Statement: Suppose the area A equals length L times width W 1e A=LW. If L=28 m+ 0.14 m and W= L.8 0,18 m.%3DA What is the uncertainty in the area in units of m?m2

Length (L)=2.8 m±0.14 m Width (W)=1.8 m±0.18 m

Answered: blem Statement: Suppose the area A…

blem Statement: Suppose the area A equals length L times width W, Le A= LW. If L= 2.8 m+ 014 m and W= 1.8+ 0,18 m What is the uncertainty in the area in units of m? m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: in this question we find area and circumference of circle . it depend upon it's radius.

Q: The radius of a uniform solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to…

A: Given that-Radius, r=6.50±0.20 cmMass, M=1.85±0.02 kgWe know that,Density, ρ=M43πr3

Q: The length and width of a rectangular room are measured to be 3.764 + 0.005 m and 4.030 + 0.005 m.…

A: As all the-given values are of three significant decimal digits so answer should also be rounded off…

Q: A distance R is measured to be 5.400±0.003m. What is the absolute uncertainty in R^-2?

A: Given: R=5.400±0.003m Require: absolute uncertainty in R-2.

Q: The length of a race track is measured to be 50 m, with an uncertainty of 0.02 m. An athlete…

A: Length of track is 50 mAthelete complete the race is 6.972sThe uncertainty time measurement is…

Q: e2f h, where g= 4 e =7.83±0.04 f= 0.204±E0.007. h=14.14±0.05 and i = 3.99±0.03- Given the equation…

A: Given: g =e2f4-h2ie = 7.83±0.04f = 0.204±0.007h = 14.14±0.05i = 3.99±0.03

Q: e absolute uncertainty

A: Absolute uncertainty in x,y,z is ∆x,∆y,∆z

Q: 1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±…

A: In the given question, the calculations can be performed as,

Q: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

A: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…

Q: What is the uncertainty, (±), of: (a) 9.5 cm (b) 17 mL (c) 2.0100 g

A: uncertainty is the values which cannot be precisely or accurately measure with a given set of…

Q: Two lengths have been measured as l(1)= (3.64 ± 0.04) cm and l(2)= (3.9 ± 0.04) cm. Find the…

Q: Find the volume of a thin rectangular box (cuboid) whose sides are measured as 5.2 cm, 12.4 cm, and…

A: Given: Measurement of sides of cubiod are a=5.2 cm b=12.4 cm c=13.42 mm = 1.342 cm To determine…

Q: I. Significant Figures Solve the following problems: A. Round off 0.004286 to 3 significant figures.…

Q: Problem 1: (a) Ã= 3â – 2ŷ, B = 4ây – 5ŷ. Ã · B =? Answer: 22 (b) Ã = -2ô + 4, B = 3â – lŷ. Ả.B =?…

A: Problem 1: (a). Given data A→=3x^-2y^B→=4x^-5y^ Thus, A→·B→=3x^-2y^·4x^-5y^=12+10=22 Thus, A→·B→ is…

Q: what is the absolute uncertainty in f=(x+y z)? Report your answer to two decimal places.

Q: A quantity of interest Q is a function of x: Q = (1 - x²) * cos( (x+2) / x³ ) Given x = 1.70…

Q: 3. How would you calculate the error of a quantity Q that depends on the variables a, b, c and d if…

Q: Use the rules in part e) of the review to combine the following numbers: L1 = 5.02 ± 0.03 m, L2 =…

A: Solution: (a) Calculate the uncertainty of L1 + L2 as shown below. ∆L1+L2=±0.03+0.06=±0.09 m…

Q: 4. The volume of a steel rod is measured as follows: The diameter of the rod is measured with a…

A: We have the formula for volume V=π4D2L

Q: A distance R is measured to be 3.400±0.005m. What is the relative uncertainty in R? b) What is the…

Q: A function fis given by f = 130²2 2.0 where y(8.85± 0.05) and x = (5.11± 0.03) What is the absolute…

Q: Find the absolute uncertainty for the volume of a rectangular prism with the following measure…

Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: Determine the area of the circle.

Q: uncertainty.

A: Given: A function y=Asinωt A=2.054±0.012 m ω=2735±8 s-1 t=0.000341±0.00015 s Note: sinx+∆x=∆xcosx;…

Q: 11- Suppose two measured quantities x = (2.0 ± 0.2) cm, y = (6.0 ± 0.6) cm. Find z = x-y and it's…

A: See below

Q: State the number of significant digits and the implied precision of the given number. The number…

A: Given number is, 1.928x104

Q: Two piles of sand are combined to make a larger pile. The mass of the first pile of sand is 30 kg ±…

A: The mass of the first pile: The mass of the first pile:

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: A cheetah was observed traveling a distance (d) of 100.0 + 0.2 m in a time period (At) of 2.98 0.01…

Q: Suppose f (a, y) = 3zy, where 2 =2.25 t 2.14% y =9.57 + 3.57% What is the absolute uncertainty in f?…

Q: Which of the following pairs of measured numbers have the same uncertainty or error in both numbers?…

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: mtn where Given the equation p m =13.75±0.06 and n =0.0787±0.0007.what is the absolute uncertainty…

Concept explainers

Estimate of calculation

Question

Problem Statement: A ruler is repeatedly used to measure the length L of an object to the nearest mm. To no one's surprise, each measurement
of L to the nearest mm gives the exact same answer
a What is the uncertainty in the measured length L?
Grade S
Deductic
uncertainty
Potential

blem Statement: Suppose the area A equals length L times width W 1e A=LW. If L=28 m+ 0.14 m and W= L.8 0,18 m.
%3D
A What is the uncertainty in the area in units of m?
m2

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

Question 2: Complete the following Error Analysis The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter scale. W The measurements give the values length 83 mm, width 68 mm and height 23 mm. The uncertainty in each measurement is ±1 mm. Calculate, 1. The fractional uncertainty in the measurement of VOLUME is 2. Absolute uncertainty in the measurement of VOLUME in (mm³ ) is
a. 2πR2+2πRh2πR2+2πRh b. 2πR2+2πh2πR2+2πh c. πR2hπR2h d. πD2+πDhπD2+πDh e. 2πR+2πRh
A measurement of the circumference of a disk has an uncertainty of 2.6mm. How many mea-surements must be made so that this circumference can be estimated with an uncertainty of only0.52 mm?
Physics Please help me with this question It was from a Lab that we have to understand but im unsure how to answer this.
Calculate the fractional (relative) uncertainty in (11.51 ± 0.07)cm. Round your answer to three significant figures
What is the density of vibranium with a mass of 186.000 ± 0.004 g and a volume of 120.00 ± 0.02 mL? (answer using 6 significant digits) What is the absolute uncertainty of the density of vibranium with a mass of 186.000 ± 0.004 g and a volume of 120.00 ± 0.02 mL?(answer with two significant digits)
You measure the radius of a sphere as (6.30 ± 0.25) cm, and you measure its mass as (1.74 ± 0.09) kg. What is the density and uncertainty in the density of the sphere, in kilograms per cubic meter? 4.0 1661.8 X+4.0 X ) × 10³ kg/m³ Need Help? Read It 1.19
What is the difference between accuracy and precision? Explain 2. Calculate the volume and percent error/uncertainty in the volume of a rectangular sample block of length 13.51 ±0.05 cm, width 6.23 ±0.02 cm, and thickness of 1.76±0.02 cm. 3. Calculate the mass density and uncertainty in the mass density of the sample block. Mass of the block is 289± 1gr. 1.
Can you please explain how to solve the uncertainty for this problem. I previously asked the same question but the answer for the uncertainty i was given is wrong +/- 0.00559
Given the equation A =%- where b =17.4+0.1s and e=12.7±0.5s What is the absolute uncertainty in A? Select one: O a. 11.2+0.3s O b. 11.2±0.2 O c. 11.2+0.6 O d. 11.2±0.5s
A rectangle has a length of (2.9 ± 0.2) m and a width of (1.6 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. HINT (a) Calculate the area and give its uncertainty. (Enter your answers in m².) 4.0✓ m² + m² (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) mt 4.0 m
I need help with a University Physics 1 (significant figures) - The problem is described in the image below: