Calculate the volume and percent error/uncertainty in the volume of a rectangular sample block of length 13.51 ±0.05 cm, width 6.23 ±0.02 cm, and thickness of 1.76±0.02 cm. Calculate the mass density and uncertainty in the mass density of the sample block. Mass of the block is 289 ± 1gr.
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Given Data :
Block length l = 13.51 +/- 0.05 cm
Block width w = 6.23 +/- 0.02 cm
Block thickness h = 1.76 +/- 0.02
Block mass m = 289 +/- 1 gr
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- The following data sets are the length measurements of a raw material. The actual length of the part is supposed to be 3.2 mm. Which sets) do you prefer to the others? Briefly explain.HINT: Check the accuracy and the precision of each data set.Data Set 1: 2.91, 3.00, 3.50, 2.85, 3.22, 3.15, 3.49, 2.90, 3.27, 3.15Data Set I1: 3.13, 3.22, 3.19, 4.17, 3.21, 2.62, 3.25, 2.80, 2.40, 3.81Data Set I: 3.24. 3.18. 3.22. 3.20. 3.17, 3.23, 3.19, 3.20, 3.16, 3.24Data Set IV: 2.90. 3.00. 2.92. 2.95. 2.93. 2.97. 2.94. 2.99. 2.96, 3.00 Please donot provide solution in image format and it should be in step by step format and provide fast solutionThe 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.
- Determine the absolute uncertainty for the calculated value in the following scenarios. Express as (computed result) ± (absolute uncertainty) (units). You measure the volume of a stainless steel sphere by placing it into a100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL ofwater initially. After the sphere settles, the graduated cylinder now reads22 mL. What is the volume with uncertainty? Please use the formula I posted ! Thank you!A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.Question 2: Complete the following Error Analysis The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter scale. W The measurements give the values length 83 mm, width 68 mm and height 23 mm. The uncertainty in each measurement is ±1 mm. Calculate, 1. The fractional uncertainty in the measurement of VOLUME is 2. Absolute uncertainty in the measurement of VOLUME in (mm³ ) is
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