Question 1. For a cone with a base radius of 0.45 m and a height of 2.18 m, if the error in the radius is E1, the height is E2, the error in pi (3.14 will be taken) is E3, what will be the error in calculating the volume of this cone? Also find the absolute error and the error percentage.

Question 1. For a cone with a base radius of 0.45 m and a height of 2.18 m, if the error in the radius is E1, the height is E2, the error in pi (3.14 will be taken) is E3, what will be the error in calculating the volume of this cone? Also find the absolute error and the error percentage.

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 6.10P

See similar textbooks

Related questions

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

A: a) b)

Q: The radius of an atom of gold (AuAu) is about 1.35 ÅA. How many gold atoms would have to be lined up…

A: Given value--- radius = 1.35 A. distance = 2.5 mm. We have to find--- number of atom ?

Q: What is the greatest distance on the surface of the earth that can be seen from the top of Mayon…

Q: A cylinder of mass (m) and a diameter of (2a) with height (10 cm), The height for other cylinder…

A: Since the cylinders are made of the same material, the density of the material must be constant. The…

Q: A student is attempting to determine the total volume of water in two identical aquarium tanks, both…

Q: A substance of mass 49.53 g occupies 1.5cm^3 of volume.the density of the substance(in g cm^-3) with…

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: What mass of a material with density ρ is required to make a hollow spherical shell having inner…

A: GivenInner radius is r1Outer radius is r2

Q: The interior of a popular microwave oven has a width W = 15.5 in., a depth D =14.5in., and a height…

A: The width in centimeters can be obtained as The depth in centimeters can be obtained as The height…

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

A: In the measured value of the physical quantity the number of digits about the correctness of which…

Q: 5. If the radius of the cylinder in question 2 is 2.4 ± 0.2 cm and its mass is 32.6 ± 0.5 gm, what…

A: The density of the cylinder is, ρ=mV=mπr2h=32.6 g3.142.4 cm25.5 cm=0.328 g/cm3 The uncertainty in…

Q: You can use known quantities to determine an approximate measurement of unknown quantities. If your…

A: 1 hand = 10 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: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3cm ± 0.1 cm.…

A: Student obtains reading = 4.3cm ± 0.1 cm

Q: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm + 0.1 cm.…

Q: Using the answers from Question 1(a), determine the solutions of the equation (x+1)* = 16(x–1)*…

A: The given equation is: x+14=16x-14 Now, solving the above equation as:…

Q: A student wanted to calculate the radius, r, of the base of a spherical cylinder. The student…

Q: The online lab manual for this experiment gives the formula for the volume of a sphere: [If your…

A: Bbb…

Q: Phe length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the…

Q: A 4.2 cm diameter cylinder has a length of 13.5 cm. What is the cylinder's volume in SI units?

A: Given data: Diameter of the cylinder, D=4.2cm =0.042m Length of the cylinder, L=13.5cm=0.135m

Q: In the calculation of the perimeter of a square measuring: 5.0 cm ± .05 cm by 5.0 cm ± .05 cm, What…

Q: What is the answer from this calculation: 3.0 ft x 5.0 ft x 0.5 ft =? Consider both the number and…

A: Given : Calculation : 3ft x 5ft x 0.5ft Determine both the magnitude and the unit.

Q: If actual value of f(x1)=0,56 and the approximate value of f(x1)=0,6, calculate the relative error?

Q: What is the percent difference between 9.81 m/s2 and 992.31 cm/s2?

A: If we consider both the values only as experimental values then Value V1= 9.81m/s² Value…

Q: Given the volume of a sphere is 3080cm3, find the radius of the sphere from the given equation: V=…

Q: 14. How many significant figures are there in 0.0006? Express your answer in numbers (1,2,3,4,5,…

A: Significant figures are defined as the digits present in the number which are meaningful and provide…

Q: After carrying out repeated measurements for the height of a building and making the calculations,…

A: Given in question - Height of building(H)= 46.857 m…

Q: A contractor wants to install ceramic tile in a kitchen of length 9.13 m and width 6.2 m. What is…

A: Area of a rectangle= length × breadth

Q: Starting with the definition that 1.00 in. = 2.54 cm, find the number of kilometers in 3.107 miles,…

A: Given data, 1.00 inch = 2.54 cm. By using general conversion, convert the units…

Q: From the acquired measurements in Table A,plot Q as a function of V

A: Note:- We know that here you asked to plot the Q as a function of V. So We are only giving the…

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

A: As per Bartleby guidelines I have solved first question out of multiple questions and if you want…

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

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: ACTIVITY 1. Identify the levels of accuracy and precision of the following sets of values. Put a…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

Q: The volume of the rectangular block in the figure is calculated from the following measurements of…

A: Given: da = 0.10 cm a = 10 cm db = 0.06 cm b = 5 cm dc = 0.04 cm c = 4 cm We have the volume of…

Q: Perform the following calculations and report your answer to the correct number of significant…

Q: the volume of the rectangular block in the figure is calculated from the following measurements of…

Q: 13. Which of the answers for the following conversions contains the correct answer and the number of…

A: Correct answer is given below.

Q: 5. (a) What is the percent uncertainty in the measurement 8.55 ± 0.36 m? (b) Determine the number of…

A: Percentage uncertainty of a measured value is given by-uncertainityvalue×100=percentage uncertainty…

Q: What is the Percentage Error of: Tablet length using ruler: 1.) 18 mm 2.) 22.5 mm 3.) 5 mm 4.)…

A: We know that a ruler has increments in units of centimetre (cm). The smallest scale division is a…

Q: The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360…

Q: 1. [10] When building a retaining wall, I had to fill a gap with average width 10.0 in., average…

A: In the given scenario, volume of gravel required is equal to the volume of the gap inside wall,…

Q: Compute For the relation between the cubic inch and the cubic om by taking the ratio of the volume…

A: Volume of the wooden block = a * b * c ( where a, b & c are av. length , av. width and av.…

Q: How many ping pong balls would fit into a room 3 m wide by 4 m long by 4 m tall (without being…

A: Length of room ,l = 4 m width of room, b = 3 m height of room, h =4 m Diameter of ping pong,d =…

Q: A pyramid has a height of 481 ft , and its base cover W area of 13.0 acres ( Fig . P1.20 ) . The…

A: Given, height, h = 481 ft base area, b = 13.0 acres 1 acre = 43560 ft2 1 ft = 0.3048 m 1 ft3=0.3048…

Q: The volume of the rectangular block in the figure is calculated from the following measurements of…

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

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

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

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-
A block of gold has length 5.62 cm. width 6.35 cm, and height 2.78 cm. (a) Calculate the length times the width and round the answer to the appropriate number of significant figures. (b) Now multiply the rounded result of part (a) by the height and again round, obtaining the volume. (c) Repeat the process, first finding the width limes the height, founding it, and then obtaining the volume by multiplying by the length. (d) Explain why the answers dont agree in the third significant figure.
Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density of the atmosphere is 1kg/m3 , estimate the height of Earth’s atmosphere. Do you think your answer is an underestimate or an overestimate? Explain why. How many piano tuners are there in New York City? How many leaves are on that tree? If you are studying photosynthesis or thinking of writing a smartphone app tot piano tuners, then the answers to these questions might be of great interest to you. Otherwise, you probably couldn’t care less what the answers are. However, these are exactly the soils of estimation problems that people in various tech industries have been asking potential employees to evaluate their quantitative reasoning skills. If building physical intuition and evaluating quantitative claims do not seem like sufficient reasons tot you to practice estimation problems, how about the fact that being good at them just might land you a high-paying job? For practice estimating relative lengths, areas, and volumes, check out this PhET (https://openstaxcollege.org/l/21lengthgame) simulation, titled “Estimation.”
A floating-point operation is a single arithmetic operation such as addition, subtraction, multiplication, division. (a) Estimate the maximum number of floating- point operations a human being could possibly perform in a lifetime. (b) How long would it take a supercomputer to perform that many floating-point operations?
A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm = 0.454 kg. What is the density of water in pound-mass per cubic foot?
Check Your Understanding Suppose we want the formula for the volume of a sphere. The two expressions commonly mentioned in elementary discussions of spheres are 4r2 and 4r3/3 . One is the volume of a sphere of radius r and the other is its surface area. Which one is the volume?
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
Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Calculate the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate. (1 U.S. gal = 231 in.3)
(a) How many significant figures are in the numbers 99 and 100.? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers: significant figures or percent uncertainties?
The length and width of a rectangular room are measured to be 3.9550.005m and 10500.005m . Calculate the area of the room and its uncertainty in square mete
A person's blood pressure is measured to be: 115 ± 7 mm Hg. What is its percent uncertainty? (Express your answer to the correct number of significant figures and proper units. Use unrounded values in your calculations.)
The density of ordinary air is 1.19 g/L. What is the mass, in kilograms, of the airin a room that measures 14.5 ft x 16.5 ft x 8.0 ft?(Hint: Density is defined as d= m/v, so you need to find the volume of the roomand solve for the mass in the density equation. Make sure you do the appropriateconversions to carry out your operations. Use the correct number of significantfigures to express your answer).