Answered: A cylinder was measured to have length…

A cylinder was measured to have length 4.24 + 0.01 cm and diameter of the cross-sectional area 2.16 + 0.01 cm. Find its volume and the percentage uncertainty ΔV/V.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 68PQ

See similar textbooks

Related questions

Q: In the calculation of the volume of a cube of nominal size , the uncertainty in the measurement of…

A: Given data: Uncertainty in the measurement of each side is Required: Uncertainty in the…

Q: The area of a round tabletop is computed from a measurement of its radius. If the fractional…

A: A= πr2

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

A: r = (6.50 ± 0.20) cm mass M = (1.85 ± 0.02) kg.

Q: You measure a certain flow rate to be Q=12.9±1.6cm3/min. What would be the uncertainty in the…

A: The given value of flow rate is, For a logarithmic value (base 10), the absolute uncertainty can be…

Q: what is the absolute uncertainty for the following measurements? 5.8cm, 5.6cm, 5.7cm,5.4cm,5.6cm…

Q: Determine the percent uncertainty in 0, and in sin 0, when (a) 0 = 15.0° ± 0.5°, (b) 0 = 75.0° ±…

A: (a) Percentage uncertainty in θ

Q: Finding the volume of a cube, measuring its side as 5.2 ± 0.2 cm. Calculate the volume of the cube…

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: 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: A series of four measurements of the ratio of the circumference to diameter of a disk are made. The…

A: The result of these measurement are as below. 3.140, 3.133, 3.132, 3.133 The experimental value is…

Q: An engineer reports the findings of a measurement as 321.5332 + 2.3 kg (95%). Comment of the proper…

A: The value is Expressed in one decimal digit after point.

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: By measuring the acceleration due to gravity a student finds gA=(9.85+-0.08)m/s^2. A student B finds…

A: Note: You have posted a question with more than three subparts. As per our policy, if nothing is…

Q: Find the uncertainty in a calculated average speed from the measurements of distance and time.…

A: Given data: x = 6.4 m and δx=0.6 m t = 4.9 s and δt=1.3 s

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 X 104 cm?

A: Area of the circle can be obtained as Rounding off to least significant figure gives

Q: Our classroom was kept at 25.0°C during your experiment, so v is predicted to be 343 m/s. What is…

A: Given data : Speed of sound in air ; Expected…

Q: use the formula to estimate the BSA of a person who is 160cm tall and weigh 83kg

Q: Find the nominal value and uncertainty in; Volume 1. XYZ =

A: Given : R=2.65 +/- 0.15 h=12.5+/- 0.1 M=136+/- 3 X=5.69+/-0.02 y = 7.88+/- 0.04…

Q: What is the percent uncertainty in the measurement 6.32 + 0.01 m? А. 0.32% B. .0.01% С. 0.16% D.…

Q: What is the percent uncertainty in the measurement 3.99±0.35m?

A: Here, the absolute uncertainty in the length is given. First, find the ratio of uncertainty with…

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: For the measurement of length: 1km 50m and expected value of 1100m, find the relative error.

Q: What, approximately, is the percent uncertainty for a measurement given as 1.57 m2?

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: Calculate the following with the correct number of sig figs. 1.5.00 + 2.1

A: Significant figures are the number of digits that contribute to the accuracy of a measurement. While…

Q: An instrument is used to determine the concentration of a chemical in water. The instrument signal…

A: Given : Relation between instrument signal "Z" and concentration of the chemical "C" Z = kC + P Z =…

Q: A cylinder has a radius of ( 1.60 ±0.01) cm and a height of ( 11.5 ± 0.1) cm find the volume and its…

A: The volume of the cylinder is given by V = π r2 h where, r is the radius and h is the height.

Q: An infant’s pulse rate is measured to be (130.0 + 5.0) beats/min. What is the absolute uncertainty…

A: Given that:- Infant pulse rate=(130+5) beat/min

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 rectangle has a length of (2.3 ± 0.1) m and a width of (1.4 ± 0.2) m. Calculate the area and the…

Q: In a Measurement ,the Expected value is 72 V and the measured value is 63 V. Find (i) Absolute error…

A: (i) The absolute error is given by : (ii) The relative error is given by :

Q: Function f is defined by = x/ where x = 4.35 + 0.05 and y = 1.25 +0.01 Calculate the absolute…

A: Given that value of x and y and also given the function f then we have to calculate the absolute…

Q: Two wood beams are stuck together with wood glue to create a wooden floor beam. The length of the…

Q: A wood board was measured to have a length of 125.46 cm with an uncertainty of 0.0003 m. Find the…

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

Q: A good-quality measuring tape can be off by 0.58 cm over a distance of 23 m. What is its percent…

A: a measuring tape can be off by 0.58 cm = (0.58 / 100) m Here, 100 cm = 1m and 1 cm = (1/100) m Total…

Q: A digital micrometer measures the diameter of two cylinders. Cylinder 1 diameter = 15.22 ± 0.02 mm…

A: Uncertainty in difference or addition is given by direct addition of uncertainty in given…

Q: An infant’s pulse rate is measured to be 121 ± 5.2 beats/min. What is the percent uncertainty in…

A: The given data consist of a result and uncertainty from that we will find out the percentage of…

Q: A parameter x is measured with a relative uncertainty of 4 percent. If x=19.0, what is the absolute…

A: Given data:

Q: te the following and express the answer in the proper number of significant figures:…

A: Significant figures are used to establish the number which is presented in the form of digits. These…

Q: Find the % of relative uncertainty a) 2.0g+or-0.2g b) (2.50+or-0.01)s

Q: The diameter of a sphere was measured to be d = 3.21 cm with an uncertainty Δd = 0.01 cm. Find the…

A: Here diameter d=3.21 cm so radius r=3.212=1.60 cm So the volume is V=43πr3=…

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 × 104 cm?

A: Given: Radius of circle=R=3.1×104 In this Question, we would Assume an uncertainty in the radius of…

Q: The length and breadth of a metal sheet are 3.124 m and 3.002 m respectively. The area of this sheet…

Concept explainers

Estimate of calculation

Question

A cylinder was measured to have length 4.24 + 0.01 cm and diameter of the
cross-sectional area 2.16 + 0.01 cm. Find its volume and the percentage
uncertainty ΔV/V.

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 with 2 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

in the general linear equation y=bx+a, what is measured by the value of b?
Using the value of 1.29 gcm^3as silk density, calculate a fiber equivalent diameter in μm if such fiber linear density was 0.99 den.
use the formula to estimate the BSA of a person who is 160cm tall and weigh 83kg
Determine the maximum absolute error in the density, ρ, with a calculated value of 988 kg/m3,given relative errors in the measurements of the mass, m, and the volume, V, of ±0.005 and±0.01 respectively.ρ = m/V
If the circumference of a gas-filled balloon is 21.73 cm, then what is the radius?
An architect is redesigning a rectangular room on the blueprints of the house. He decides to double the width of the room, increase the length by 89.0%, and increase the height by 20.0%. By what factor has the volume of the room increased?
In terms of its radius "r". Calculate the volume of atoms in a simple cubic unit cell, body-centered unit cell, and face-centered unit cell. V=?
The error in two readings of A are 0.01 and -0.03, then mean absolute error is ?
To determine the accuracy of measuring 100ml of water with a graduated a student weighed the empty graduated cylinder (10.00g) and the graduated cylinder with the water (109.00g). Given the water’s density is 1g/ml, what is the percent error of the water measured with the graduated cylinder?
The following formula estimates an average person’s lung capacity V (in liters, where (1L=103cm3) V=4.1H-0.018A-2.7 where H and A are the person’s height (in meters) andage (in years), respectively. In this formula, what are theunits of the numbers 4.1, 0.018, and 2.7?
A cylinder has a radius of 1.58 ± 0.01 cm and a height of 10.6 ± 0.1 cm. Find the volume of the cylinder. ( Note: include the absolute uncertainty in the volume) SHOW WORK
A patient’s temperature was 97.0 °F at 8:05 A.M. and 103.4 °F at 12:05 P.M. If the temperature change with respect to elapsed time was linear throughout the day, what would the patient’s temperature be at 3:35 P.M.?