Perform the indicated mathematical operations. State the uncertainty of the final answer as ± 1-digit variation in the least significant digit. (remember that the last significant digit's place holder is the most uncertain digit!) 7.700 x 2.1 = uncertainty: 2.132 + 17 + 4.04 = uncertainty: 27000 + 500 = uncertainty: 30.0 x 50.0 = uncertainty: (9.6 x 107)(1.24 x 103) 1.897 x 102 uncertainty:

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: y what exponent of 10 would a numerical quantity change if measured in micrometers rather than…

A: 1 micro meter = 10-6 m 1 km = 1Kilometer = 103 m Thus, 1 meter =(1/103) km = 10-3 km

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

A:

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: A rectangular plate has a length of (16.2 ± 0.2) cm and a width of (9.6 ± 0.1) cm. Calculate the…

A: Data Given ,  Length ( L ) = ( 16.2 ± 0.2 ) cm  Width ( W ) = ( 9.6 ± 0.1 ) cm  We have to find the…

Q: In each of the three cases, which measured value (mass or volume) limits the precision of the…

A: Given: Balance A: 15.746 gBalance B: 15.75 gBalance C: 15.7 g Balance A: ± 0.001 Balance B: ± 0.01…

Q: In the following problem I am asked to calculate a volume respecting the rules of significant…

A: Given: volumev=43πR3R=4.5 cm To Find: Volume respecting the significant rules

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: What is the approximate percent uncertainty in the measurement given   1.57 m2?

A: The given measured quantity is,

Q: 1. A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36± 0.3 cm. (a) Find the volume of this…

A: a) The volume of the cylinder is,

Q: Find the resultant time and the absolute uncertainty given the formula and absolute uncertainty…

A:

Q: 1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±…

A: In the given question, the calculations can be performed as,

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: 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: The length and width of a rectangular room are measuredto be 3.955 ± 0.005 m and 3.050 ± 0.005 m .…

A: Given: Length of the rectangular room (l) = 3.955±0.005 m. Width of the rectangular room (w) =…

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

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

A:

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: To measure the perimeter of a triangle, the lengths of sides AB, BC and CA are measured using a…

A: Resolution of caliper = 0.05mm Length of side AB =50.2mm Length of side BC =55.15mm Length of side…

Q: When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (Ibm) was…

A:

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

A: A quantity can be written as x = x ± Δx  x = measured value Δx = uncertainty in meassurement

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

A:

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: Calculate the volume of a given object and its uncertainty in cm3 and your final answer or report.…

A:

Q: The radius of a solid sphere is measured to be (6.30 i 0.30) cm, and its mass is measured to be…

A: (given) Radius of the sphere = 6.30 cm = 6.30×10-2 m Uncertainty in the radius δr = 0.30 cm =…

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

A: Solution:  (a) Calculate the uncertainty of L1 + L2 as shown below. ∆L1+L2=±0.03+0.06=±0.09 m…

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

A:

Q: What is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?

A:

Q: What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.84…

A:

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

A: Given:Original length L=20mUncertainity in lengh SL=0.50cmSl =0.50×10-2m

Q: You also measure the length of a side of the cube using a ruler and get the value 3.15+0.05 cm.…

A: We need to calculate volume with proper error uncertainty value.

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

A:

Q: A quadrilateral shaped area given by the following measurements have these corresponding probable…

A: Perimeter is sum of all four sides. In summation , error is sum of numerical value of all errors.…

Q: 1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h =…

A: (1)GIVEN THE MEASUREMENT OF THE THE RECTANGULAR BOX ARE, l= 8.6±0.5

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

A:

Q: What is the area and uncertainty in area of one side of a rectangular metal slab that has a length…

A: The length of the slab L=21.2±0.3 cm The percentage uncertainty in length is  %L=0.3 21.2×100=1.4%…

Q: A cylinder was measured to have length 4.24 + 0.01 cm and diameter of the cross-sectional area 2.16…

A:

Q: What is the area, and its approximate uncertainty, of a circle of radius  3.1 x104 cm?

A:

Q: What is the percent uncertainty in 581 + 7.87 cm? Express your answer to 3 significant figures and…

A: According to question we need to find percent uncertainty?

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: 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…