A rectangular piece of aluminum is 7.60 ± 0.01 cm longand 1.90 ± 0.01 cm wide. Find the area of the rectangle and the uncertainty in the area.
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A rectangular piece of aluminum is 7.60 ± 0.01 cm long
and 1.90 ± 0.01 cm wide. Find the area of the rectangle and the
uncertainty in the area.
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- The sides of a small rectangular box are measured to be (1.90 ± 0.01) cm, (2.00 ± 0.02) cm, and (3.1 ± 0.1) cm long. Calculate its volume and uncertainty in cm³. a. Its volume is b. The uncertainty on its volume is cm³. cm³.Two piles of sand are combined to make a larger pile. The mass of the first pile of sand is 30 kg ± 0.01 kg and the mass of the second pile is 34 kg ± 0.01 kg. Calculate the mass of the combined pile and the associated uncertainty in this mass, to 2 s.f.Given a set of length measurements: 62.1, 62.5, 61.7, 62.6, 62.7, 61.9 cm. Find the standard error for length measurement.
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- 7. A cylinder ħas á radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of this cylinder and its uncertainty in cubic centimeters. (Hint: The formula for the volume of a cylinder is V = TT r2 h.) (b) Find the % uncertainty for r, h and V. (c) Find the volume of this cylinder in cubic meters. 2 3 4 r with the appropriate ing water, heated by heat. Beakers 1 and 2 of water. The height of of the flame under ine the change inCalculate the fractional (relative) uncertainty in (11.51 ± 0.07)cm. Round your answer to three significant figures1)A grocery store sells 5-lb bag of apples. A customer bought apples weekly and made a record of his purchases: The weighing scale in the grocery store has an uncertainty of 10.3 lb. The customer obtained the following measurements: Week 1: weight is 4.8 Ib Week 2: weight is 5.3 lb Week 3: weig is 4.9 Ib Week 4: weight is 5.4 lb What is the Percent Uncertainty of the bag's weight?
- What is the density of vibranium with a mass of 186.000 ± 0.004 g and a volume of 120.00 ± 0.02 mL? (answer using 6 significant digits) What is the absolute uncertainty of the density of vibranium with a mass of 186.000 ± 0.004 g and a volume of 120.00 ± 0.02 mL?(answer with two significant digits)The radius of circle has been measured as r = (4.19 ± 0.3) cm. Calculate the uncertainty δA (in cm²) of its area (A = πr²). Enter the number only, without unit.The radius of a circle is measured to be (13.6 ± 0.3) m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle m² ± (b) the circumference of the circle m t m² m