If x = 4.32 ± 0.07 and y = 2.98 ± 0.01, calculate the absolute uncertainty in z = 3xy. Report your answer to two decimal places.

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

A: A= πr2

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: Find the precision of the 4th measurement, from the values in the table below No Xn 1 48 2 50 3 52 4…

A: The accurate measurement will be the average value  Xnavg = (48+50+52+47+51)/5 = 49.6

Q: ALCULATE CALCULATE       Mass Density ρ= m/V (grams/cm^3)  Volume , V=(π*(d^2)* t)/4 (cm^3)

A: Given,   Relative Uncertainty in mass δm/m (%) Relative Uncertainty in Diameter δd/d (%) Relative…

Q: A digital timer, used in an experiment, displays 0.5378 s.  What is the uncertainty, due to the…

A: The uncertainty in a measurement is basically the least value that can be measured by that…

Q: Two measured quantities are (A-10 0.1) and (8-15+0.15) what is the uncertainty in C# C-AB O a 25…

A: Given data- Two measured quantities are-                    A=10±0.1                    B=15±0.15

Q: what was the total for the division problem: S= 3 x (4.5x10^24kg) & 4(3.14)x (6.05x10^6)

A:

Q: MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER   Measured Diameter d (cm) Measured…

A: Solution: Calculate the relative uncertainty in diameter for dime. ∆Uddime=0.051.76×100=2.84%…

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: Calculate the uncertainty δP of its perimeter P = 2(l+w) in mm.

A: Data provided in the question; Length of rectangle Width of rectangle

Q: Suppose you do an initial calculation that gives 78.5279 +4.3324%. What is the correctly rounded…

A:

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

A:

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

A:

Q: A good-quality measuring tape can be off by 0.50 cm over a distance of 20 m. What is its percent…

A:

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

A: Note that: Calculation at part b,c,d are incorrect. We will solve those parts again and need to…

Q: Find the absolute uncertainty a) 15s+or-10% b) 3.35s+or-1%

A: (a)  15 s ±10%Absolute uncertainty = 10% of 15 = ±10100×15=±1.5 s

Q: If H3 = a ÷ b and the uncertainty in a is 15% and b is 6% when H = 1.25, find the uncertainty in H.

A: Given that; H3=a÷bH3=abH=ab1/3

Q: You measure the radius of a sphere as  (6.30 ± 0.30) cm,  and you measure its mass as  (1.77 ±…

A: Radius = (6.3±0.3)cmMass = (1.77±0.09)kgVolume, V = 43πr3V = 43xπx 6.31003V = 1.0474x10-3m3Density =…

Q: If x 's uncertainty is 0.05, what is 1/x's uncertainty

A: The uncertainty of a single measurement is determined by the precision and accuracy of the measuring…

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: 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…

A:

Q: An angle is measured to be 0.34±0.04rad. What is the absolute uncertainty in the sine of the angle?

A: Measured angle θ±∆θ= 0.34±0.04rad To find  absolute uncertainty in the sine of the angle.

Q: The radius of a circle is measured to be (10.5 ± 0.2) m. Calculate(a) the area and (b) the…

A: (a) The area of the circle is

Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

A:

Q: After carrying out some calculations (based on experimental data) your calculator shows that the…

A: Given: The mass of the object is 178.54968 g. The uncertainty in the mass is ±25.0163482 g.…

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: Express the relationship between 1/do, 1/di, and 1/f as an equation.

A: Generally, two types of the lenses are used: Diverging or concave lens and Converging or convex…

Q: A person (he/she) measures heart rate by counting the number of beats in 30 sec. -If 45 ± 2 beats…

A:

Q: Why do you think it is important to include uncertainty in a measurement in a lab setting?

A: Uncertainty plays a significant role in knowing whether the measurements of physical quantities are…

Q: Given ρ , where m = 276.180 (0.020) g，D = 3.662 (0.005) cm，h = 12.180 (0.010) cm，which measurements…

A: Uncertainity principle was the first big step towards quantum world. There are many types of errors.…

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: What it the magnitude of the uncertainty (the ± error) in the following measured value: 45,420

A:

Q: If x= 3.54 ± 0.03 y = 8.03 0.04 z = 5.02 ± 0.02, what is the absolute uncertainty in f = (x + y-z)?…

A: Given X = 3.54 ± 0.03 Y = 8.03 ± 0.04 Z = 5.02 ± 0.02 We have to find absolute uncertainty in f =…

Q: The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter…

A:

Q: Find B and t for the space curve below. r(t) = = (4 sin 6t)i + (4 cos 6t)j + 10tk 12 cos 6t -i- 12…

A:

Q: If A = 3i -2j and B = 2j, what is the magnitude of %3D A+0.5B?

A: A = 3i - 2j B = 2j To find = A + 0.5 B

Q: An optical track for a new physics experiment was measured using a high tech laser. It was found to…

A: L=2.71828m ∆L=0.05432 Relative uncertainty =∆LL                                      =0.01998 equal…

Q: The average value 'g' from the above table is 4.306 m/s? Question 2: Complete the error calculations…

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Q: When a force F of (10.0 +/- 0.2) N is applied to a mass m of (2.0 0.+/- 1) kg, the percentage…

A:

Q: The following pictures show the triple beam balance and Vernier calipers measuring a metal sphere.…

A: Given data, Vernier calliper reading =  25.42 mm = 2.542 cm Triple beam =  67.25 g

Q: USING DATA FROM THE US MINT         US MINT DATA US MINT DATA US MINT DATA COIN Measured…

A: Some wrong answers were filled in the columns. please modify them by looking attached tables.

Q: A marathon runner completes a 42.188-km course in 2 h, 35 min, and 39 s. There is an uncertainty of…

A: Given data The distance covered by the runner is: d = 42.188 km = 42188 m The time taken to cover…

Q: A rectangle has a length of (2.7+_0.1) m and a width of (1.6+_0.2) m. Calculate the area and the…

A: Given,

Q: Given the equation A=%+ where b=17.4+0.1s and e=12.7±0.5s. What is the absolute uncertainty in A?…

A: a quantity can be written as  = a ± Δa  a is measured quantity  Δa is error in measurements

Q: 1. 2. The mass of an object is found to be (24.5 ± 0.1) g. Find the (a) absolute uncertainty and (b)…

A:

Q: If x= 4.32 ±0.06 and y = 2.98 ± 0.03, calculate the absolute uncertainty in z = 3xy. Report your…

A:

Scalars and Vectors

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