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- The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle 430 m² ± 1.54 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m²Each of the following equations was given by a student during an examination 1/2 mv^2=1/2 mv_0^2+√mgh v=v_0+at^2 ma=v^2 Do a dimensional analysis of each equation and explain why the equation can’t be correct. (Hint: Determine the dimensions on each side of the equation and compare them.)The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.
- Imagine that in the measurement of 4.6 cm long metallic cylinder, your measurements in centimeters are (3.0, 3.5, 4.0, 4.5, 5.0, 5.5,6.0). What is the standard error of your length measurement. O 1.08 O 0.022 O 0.22 O 0.41 O2.22Use the graph to answer the following questions. 60 Answers have a 10% tolerance to allow for estimation. When x is 8, what is y? 50 When x is 9, what is y? 40 When y is 30, what is x? When y is 50, what is x? 20 10 2 4 8 10 12 30The 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 solution
- 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.(a) How many significant figures are in the numbers 999.0 and 1000.0? 999.01000.0 (b) If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.) 999.0 %1000.0 % (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?Now you will use the ruler to measure the dimensions of a block of pure aluminum metal. Make sure you report both the uncertainty and an estimated digit with your answers. V [ Select ] 1 21 1.5 cm +/- .1 cm cm 1.38 cm +/- .01 cm What is the best measurement of the length of this block? 1.35 cm +/- .01 cm 1.3 cm +/- .1 cm 1.40 cm +/- .05 cm
- 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.The radius of a sphere is known to be r = 6.27 ± 0.06 cm. The volume of a sphere is given by (4/3)?r3. Find the absolute uncertainty and the percent uncertainty in the volume of the sphere. absolute uncertainty cm3 percent uncertainty7. 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 in