The length and width of a rectangular room are measuredto be 3.955 ± 0.005 m and 3.050 ± 0.005 m . Calculatethe area of the room and its uncertainty in square meters

Q: The length and width of a rectangular room are measured to be 3.955 + 0.005m and 3.050 + 0.005m.…

A: The length of a rectangular room,   Its uncertainty,   The width of a rectangular room,   Its…

Q: The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 2.00-m…

A: Write the relation connecting meters and cubits

Q: The adjocent figure ahowa the scales of a micrometer. If the vertical scale has 50 divisiona ond the…

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: The length 4.221 cm is added to 0.01 cm. The appropriately rounded sum is

A: Given data: Two lengths 4.221 cm and 0.01 cm Required: The appropriately rounded sum

Q: The diameter of a ball is measured using a metre rule and a two set- squares, as illustrated in…

A: Given:  Left reading: 16.8 cm  Right reading: 20.4 cm Uncertainty in each reading = 1 mm

Q: The dimension of a room is 12 feet by 20 feet. Compute the area of the room square yards. Given 1…

A: The dimension of a room is 12 ft by 20 ft. So, length L=20 ft and breadth b=12 ft. The conversion…

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

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Q: By what factor would a numerical quantity change if measured in millimeters rather than kilometers?

A: According to question we need to find--- By what factor would a numerical quantity change if…

Q: Which of the following measurement is correct if you use meter stick to measure the length?…

A: Given Information: Meter stick that can measure up to 100 cm or 1 m.

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

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Q: If the uncertainty for a measurement is 23.1 cm ±0.05 cm what is it in meters (m)?

A: The uncertainty for a measurement as

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

A: (a) Sum of the measured values 756+37.2+0.83+2=800 (b) The product 0.0032×356.3=1.1

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

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

A: Given: uncertainty in side = 7% to find uncertainty in volume.

Q: The number of significant figures in the measurement 0.050010 kg is a. ОБ. 2 O c. 5 O d. 7

A: Significant figures are the number of digits in a quantity that are either non-zero or trapped…

Q: The greater the number of significant figures, the the uncertainty.

A: Definition of uncertainty: Uncertainty means that there is a range of possible values within which…

Q: Can length be measured in inches with a micrometer?

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Q: The measurement of a physical quantity is 6.54 kg. What is the percent of uncertainty?

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Q: Can measurements be accurate but not precise? Justify your answer by citing a specific example.

A: Given: To answer a question. The question is can measurements be accurate but not precise. Give…

Q: In the old pharmaceutical system of measurements, masses were expressed in grains. There are 5.760 x…

A: Given Data: There are 5.760 x 103 grains in one lb. An old bottle of aspirin lists five grains of…

Q: What is the percent difference between 9.81 m/s2 and 992.31 cm/s2?

A: If we consider both the values only as experimental values then Value V1= 9.81m/s² Value…

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: Perform the following calculation. Supply your answer with the correct numerical value and amount of…

A: Any number raised to zero is just one. Therefore, 100 = 1 So our equation reduces to  1.060×100 ×…

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

A:

Q: 5.08 x 10" pm 5.08x10~μm 5.08 x 10-°km 11nn 5.08 x 10 nm

A:

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?…

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Q: Knowing that one gallon = 231 in, and 1in = 2.54. The volume of 20 gallons of water equals

A: It is given that, Also, Thus,

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: 7. A cylinder hás à radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of…

A: Radius of the cylinder (r)=4.6±0.4 cm Height of the cylinder (H)=5.36±0.3 cm

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

A:

Q: Following the rules of significant figures in measurement operations, what will you get if you…

A: Significant Figures We know the number of digits is used to express a measured quantity. And by…

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: In a certain right triangle, the two sides that are perpendicularto each other are 5.00 m and 7.00 m…

A: Let a, b c be the three sides of the triangle.  Third side is the hypotenuse which is not…

Q: What is the height in meters of a person who is 6 ft 1.0 in.tall? (Assume that 1 meter equals 39.37…

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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: The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm , 2.05 ± 0.02 cm, and 3.1 ±…

A: Expression for the volume of a rectangular box is V=lbh Substitute V=1.80 cm2.05 cm3.1 cm=11.439…

Q: How many significant figures are there in 0.003048

A: 0.003048

Q: The SI base units have the dimensions of: O mass, length, speed O weight, length, time O length,…

A: Let's check each option one by one 1. Mass , length , speed Not correct  Since speed is a derived…

Estimate of calculation