Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.

Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Cages used for supporting bearings in an aero engine have been tested under simulatedoperating conditions. Failures of these bearing cages were recorded after the followingengine running hours:1420, 940, 2620, 705, 360, 1185, 1410, 1950, 2730, 2050, 525, 1465, 925.The total number of bearing cages tested was 64. The remaining 51 cages did not fail bythe time the tests were stopped at 2730 hours. Determine:(a) the minimum life.(b) the characteristic life (after the minimum life), to the nearest 100 hours*.(c) the shape factor. From this, comment on the nature of the failure of these bearing cages.
30. In a typical tension test a dog-bone shaped specimen is pulled in a machine. During the test, the force F needed to pull the specimen and the length L of a gauge section are measured. This data is used for plotting a stress-strain diagram of the material. Two definitions, engineering and true, exist for stress and strain. The engineering stress F de and strain e are defined by oe F %3D and A0 L-Lo where Lo and Ao are the initial gauge 6, = Lo length and the initial cross-sectional area of the specimen, respectively. The true stress o, and strain e are defined by o, 는는 and q %3D = In A0 Lo The following are measurements of force and gauge length from a ten- sion test with an aluminum specimen. The specimen has a round cross sec- tion with a radius of 0.25 in. (before the test). The initial gauge length is 0.5 in. Use the data to calculate and generate the engineering and true stress- strain curves, both on the same plot. Label the axes and use a legend to identify the curves. Units:…
Using Newton’s laws, we could show that for some pendulums, the period T is related to the length l and free-fall acceleration g by T=2pi square root of (l/g) , or T2 = (4pi2/g) * l Does one of your graphs support this relationship? Explain. (Hint: Can the term in parentheses be treated as a constant of proportionality?)
62. •A 5-kg object is constrained to move along a straight line. Its initial speed is 12 m/s in one direction, and its final speed is 8 m/s in the opposite Complete the graph of force versus time with direction. F (N) (s) appropriate values for both variables (Figure 7-26). Several answers are correct, just be sure that your answer is internally consistent. Figure 7-26 Problem 62
The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more elastic than a typical ligament, stretching from 15% to 45% longer than its resting length as a horse’s head moves up and down while it runs. This stretch of the ligament stores energy, making locomotion more efficient. Measurements on a segment of ligament show a linear stress-versusstrain relationship until the stress approaches 0.80. Smoothed data for the stretch are shown. The volume of the ligament stays the same as it stretches, so the cross-section area decreases as the length increases. Given this, how would a force F versus change in length ΔL curve appear?
You measure the elongation of springs placed on a graduated inclined plane, to which you attach masses. One end of the spring is attached to a hook at the top of the inclined plane and the other end is attached to a mass.The spring is parallel to the plane, and the force it exerts on the mass is also parallel to the plane.The angle of inclination of the plane is known, as well as its uncertainty.There is no friction between the plane and the mass.The natural length of the spring and its uncertainty are known.By hooking a known mass (m ± delta m), you measure that the spring now has a length (L ± delta L).We use the value g=(9.81 ± 0.01)m/s^2 for our calculations. Build a model to find the spring constant of the spring (with its uncertainty) given the known parameters. Then test your model with the following values: Plane tilt angle: (11.4 ± 0.2) degrees Natural spring length: (0.145 ± 0.001) m Attached mass: (0.15 ± 0.001) kg Spring length with a mass attached: (0.17 ± 0.002) m
C Dynamic Analysis and Aeroelasticity SECTION B Answer TWO questions from this section ENG2012-N The moment of inertia of a helicopter's rotor is 320kg. m². The rotor starts from rest and at t = 0, the pilot begins by advancing the throttle so that the torque exerted on the rotor by the engine (in N.m) is modelled by as a function of time (in seconds) by T = 250t. a) How long does it take the rotor to turn ten revolutions? b) What is the rotor's angular velocity (in RPM) when it has turned ten revolutions?
(b) A new prototype rocket engine test shows that the distance covered by a rocket from t=8 sec to t= 30 sec is given by - 16 140000 (140000-2100r 2000 In 101)-9.81 ) di Comparing two and three points Gauss Quadrature, investigate which method gives the highest accuracy (in terms of relative error) in predicting the distance covered by a rocket from t = 8 sec to t = 30 sec.
Lab 2-Measurement Asynch - Tagged.pdf Page 4 of 7 ? Part I: Taking Measurements & Estimating Uncertainties for a single measurement www.stefanelli.eng.br The mass of the object is_ 0 i Parts on a tripie peam palance 0 0 10 20 30 1 100 2 3 40 200 4 +/- 50 60 70 5 300 7 400 80 Qv Search 8 90 9 500 100 9 10 g www.stefanelli.eng.br
The graph shown below shows the Modulus of Elasticity (E) of different materials with respect to temperature (°C). 240 210 170 140 100 -Carbon Steel, C < 0.3% -Nickel Steels, Ni 2% - 9% 70 Cr-Mo Steels, Cr 2%-3% Copper -Leaded Ni-Bronze -Nickel Alloys - Monel 400 35 -Titanium rengineeringtoolbox.com -Aluminium -300 -200 -100 100 300 400 500 600 700 800 Temperature (degc) a) Which material is the most ductile with increasing temperature? b) Which material is the least ductile with increasing temperature? c) Discuss the change in ductility (brittle / ductile behavior) occurring for different materials. Also, comment on why Young's modulus changes with temperature. E-modulus of elasticity (GPa)
In measuring the surface tension of a liquid (drop weight method), 20 drops of the liquid (r = 0.2cm) falling apart from the tip whose diameter is 0.4 cm were found to weight 0.95 gram. What is the surface tension of the liquid?
Which of the following is the unit for electrical conductivity? Select one: O (Q-m) -1 O (Q-mm) O m/S O Q-m In a stress strain curve of mild steel, the elastic limit will be before the limit of propor ype here to search 99+ hp fs 米 f5 f6 f7 1- f8 fg & 7 V 3 6. 8. 9/6 4+ %24 %23