The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. 70 ㅠ -12 2 70 cm² Estimate the relative error in the calculated surface area. X syntax incomplete. X

The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. 70 ㅠ -12 2 70 cm² Estimate the relative error in the calculated surface area. X syntax incomplete. X

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter1: Introduction: The Nature Of Science And Physics

Section: Chapter Questions

Problem 19PE: (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent...

See similar textbooks

Related questions

Q: 1) A small sphere with mass m of 5.00 kg moves along a semicircle of radius K 10.0 m. At the bottom…

A: Given, Mass of small sphere(m)= 5kg Radius of semicircle(R)=10m At the bottom circle angular…

Q: A sphere with a diameter of 8.95 cm and mass of 460 g is released from rest at the top of a 3.30 m,…

Q: 1. A 59.8-meter-long spacecraft flies past a neutron star, and passes through the neutron star s…

Q: Two long, parallel wires carry currents of different magnitudes. If the amount of current in one of…

A: Given data: Two long parallel current carrying wires Currents in wire have different magnitudes The…

Q: wo forces are acting on a hook at the same time, determine the resultant force along x axis:…

Q: The left-hand end of a uniform rod of mass 2.00 kgkg and length 1.10 mm is attached to a vertical…

Q: What is the speed, in m/s, of a falling object after falling for 8.93 seconds. An object falls and…

Q: If the Sun were 5 times more massive, its gravitational force on the Earth would be: a. 25 times…

A: Given data: The original mass of the sun = Ms The original mass of the Earth = Me New mass of the…

Q: Which options best describes Rutherford's findings for the structure of an atom. Alpha particles…

A: Rutherford's findings of an atom : Most alpha particles passed straight through the gold foil,…

Q: A generator produces 60 A of current at 120 V. The voltage is usually stepped up to 4500 V by an…

A: Given data: Voltage in primary coil (V1) = 120 V Voltage in secondary coil (V2) = 4500 V The number…

Q: Match each time interval with the correct statement by entering the appropriate letter in the space…

A: iuuuy

Q: Ant-Man is walking around on top of a wooden plank that rests atop two thin, vertical steel pillars,…

A: Given data- Ant man mass m1=80.0 kg The plank mass is m2=11.7 kg length of plank L=2.44 m The…

Q: With reference to figure below the moment of area about the axis A - A is A (hb³)/12 (bh)/12…

A: Introduction: Moment of area or area moment of inertia is a geometrical property of an area which…

Q: How do I find the resonant frequency of a standing wave in an open tube? and how do i find it in a…

Q: (a) A 6.00-μF capacitor is connected to a 12.0-V battery. How much energy is stored in the…

A: a) 3×10-6 j b) 1.08 ×10-4 j

Q: A conducting rod of length = 25 cm is placed on a U-shaped metal wire that is connected to a…

Q: During take-off a 6kg model rocket is burning fuel causing its speed to increase at a rate of 4m/s²…

Q: What is the capacitance of a capacitor with capacitive reactance of 2000 ohm at a frequency of 60…

Q: A .71-kg billiard ball moving at 2.5 m/s in the x-direction strikes a stationary ball of the same…

Q: A simple harmonic oscillator's velocity is given by; vy(t) = (0.710 m/s)sin(11.6t − 5.35). Find the…

A: Given, The velocity of the oscillator, vyt=0.710 m/ssin11.6t-5.35

Q: A hair dryer is basically a duct of constant diameter in which a few layers of electric resistors…

A: Given:- A Hair dyer basically a duct of constant diameter in which the few layers of the electric…

Q: Speedometer readings for a vehicle (in motion) at 12-second intervals are given in the table. t…

A: Given, Speedometer reading

Q: An electron is accelerated from rest through a potential diference of 800 V and into a region of…

A: Given Charge on electron = 1.6 × 10-19 C Potential difference = V = 800 volt Radius = r = 25 cm =…

Q: A car is driving along an x-axis where the position function is: x(t) = A + Bt5 A = 7 m and B =…

Q: 3.3 A man at point A directs his rowing boat due north towards point B, straight across a river of…

Q: A bowling ball of mass mb = 4.9 kg is rolled down the lane with a velocity of v1 = 2.6 m/s. It…

Q: Calculate the magnitude of the resultant moment (in lb-ft) due to the 200-lb and 100-lb forces about…

A: Introduction: Moment of a force depends on the magnitude of force and it's distance from the axis…

Q: 6. An electron is accelerated by a potential difference of 100 V and subsequently enters a uniform 2…

Q: If a rectangular loop of wire with single turn is placed between the two poles poles of a magnet,…

A: Given: The width of the loop is 0.3 m. The length of the wire is 1.2 m. The current in the loop is…

Q: The center of gravity of a 3.00 {\rm kg} irregular object You need to move the center of gravity…

Q: A 0.19 kg arrow is shot at +42 m/s. It hits an apple (m = 0.62 kg), and goes through the apple,…

A: Given Datamass of arrow mar = 0.19 kgmass of apple map = 0.62 kginitial velocity of arrow uar = 42…

Q: please answer all parts asap!!!!

Q: Europa, a satellite of Jupiter, is believed to have an ocean of liquid water (with the possibility…

A: Given, The diameter of Europa, D=3130 Km The mass of Europa, m=4.78×1022 Kg Length of the legs of…

Q: A bicycle wheel rotates with a constant angular acceleration of 4.50 rad/s2. If the angular…

Q: a rock is thrown at t=0 seconds and the function time is h=-4.9t^2+76t+227 when will the rock hit…

A: Given: The function of time is. ht=-4.9t2+76t+227…

Q: A 15-V battery is connected in series with a resistor and an inductor, with R= 20 2 and L = 30.0 H,…

Q: Two blocks A and B have a weight of 9 lb and 5 lb, respectively. They are resting on the incline for…

A: Given:- Two blocks A and B are as WA = 9 lbWB = 5lb The stiffness of the spring is k= 2 lb/ft The…

Q: for the capacitor used C = 1000 uF and R1 = 47 k ohms, calculate the time required to discharge the…

Q: A wave traveling in the +y-direction in a medium where μr = 1, σ = 6.17 X 107 S/m, and with ω =…

A: For a wave moving along +y-direction and electric field along the +x-direction the electric field…

Q: Can you please explain the math after (149709.34) 1/2 to get 386.92 how did you get that

Q: An ideal solenoid of length 12 cm consists of a wire wrapped tightly around a wooden core. The…

A: Given: The initial length of the solenoid is 12 cm. The initial magnetic field is 6 T. The final…

Q: The spiral shown in figure 1 is square, 4 cm on its side af with 3 turns. A magnetic field given by:…

A: Introduction: Magnetic flux is the value of strength of magnetic field lines passing through a…

Q: Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If…

A: As per the the Bartleby guidelines only three subpart are allowed to answer; but the question…

Q: n2 n1 13.4 cm 15.0 cm

A: Given, √(13.42+152)= 20.11 cm

Q: You are installing a new spark plug in your car, and the manual specifies that it be tightened to a…

Q: A centrifugal governor consists of a central rotating shaft that has two thin, pin-connected rods…

Q: 83. The length of a day on Earth is 24 hours. Let's assume for simplicity that the Earth is…

A: In the process described, the earth will change from a homogeneous sphere to a hollow sphere. Hence…

Q: 0 Assume that friction is so small that it can be ignored. If you think that none is correct, answer…

Q: A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 38 degrees with…

A: Given data: Angle of incidence (θ1) = 38° Index of refraction of air (n1) = 1 Index of refraction…

Q: A cart of mass 4 kg is on frictionless surface and compressed against an ideal spring with spring…

A: Given data, Mass m1=4 kg Mass m2=8 kg Height h2=0.67 m Compression x=1.04 m Acceleration due to…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear
approximation to estimate the maximum error in the calculated surface area.
70 2
cm
ㅠ
X syntax incomplete.
Estimate the relative error in the calculated surface area.
1
70
X

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 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

Is the following statement reasonable? The area of a dorm room is 49 m2.
A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the length. Find the area, taking into account significant figures. (See Section 1.4.)
State how many significant figures are proper In the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) ; (b) (18.7)2 ; (c) (1.601019)(3712)
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)?
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?
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?
A surveyor measures the distance across a straight river by the following method (Fig. P3.7). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is = 35.0. How wide is the river?
A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6
If you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. meters
A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?
When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?
(a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?