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
Q: The radius of a circle is measured to be 0.545 ± .005 m. Calculate the area of the circle with its…
A: Write the expression for the area of the circle and substitute the required values.
Q: The length and width of a rectangular room are measured to be 3.764 + 0.005 m and 4.030 + 0.005 m.…
A: As all the-given values are of three significant decimal digits so answer should also be rounded off…
Q: 5. The volume of a rectangular prism is given by Bh (V=Bh); where B is the area of the base of the…
A: Given data:The breadth of the prism base, B = 4.25 0.13 cmLength of the prism base, L = 5.00 0.05…
Q: Finding the volume of a cube, measuring its side as 5.2 ± 0.2 cm. Calculate the volume of the cube…
A:
Q: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…
A: Rank these SI distance units from smallest to largest: μm, am, fm, nm, mm, cm, m, km, Gm, Tm, Mm,…
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: Imagine an experiment where you measure the width, length and height of a box, in centimeters.…
A:
Q: Imagine an experiment where you measure the width, length and height of a box, in centimeters.…
A: width of box (w) = 13 cm Length of box (L) = 29 cm Height of box (H) = 9 cm σw = 0.2 cm σL = 0.1…
Q: You measure the radius of a sphere as (6.30 ± 0.30) cm, and you measure its mass as (1.77 ±…
A: Radius = (6.3±0.3)cmMass = (1.77±0.09)kgVolume, V = 43πr3V = 43xπx 6.31003V = 1.0474x10-3m3Density =…
Q: A person measures his or her heart rate by counting the number of beats in 30 s. If 40 ± 1 beats are…
A:
Q: You measure the radius of a sphere as (6.30 ± 0.25) cm, and you measure its mass as (1.72 ± 0.05)…
A:
Q: 4. The volume of a steel rod is measured as follows: The diameter of the rod is measured with a…
A: We have the formula for volume V=π4D2L
Q: What is the density uncertainty +8, of a metal block with mass = 554.4+-0.37 grams, length=…
A:
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: A function fis given by f = 130²2 2.0 where y(8.85± 0.05) and x = (5.11± 0.03) What is the absolute…
A:
Q: The mass of a block of wood is (3.15 ± 0.05) kg and its volume is (6.35 ± 0.02) x 103 cm3. Using the…
A: Given thatMass of the block of woodVolumeTo determine thatsolve for density and find the uncertainty…
Q: Quantity Al Pb Length (m) 0.088 + 0.001 0.037 + 0.001 Diameter (m) 0.0268 + 0.0001 0.0246 + 0.0001…
A: For Aluminium: The volume of the water displaced by the aluminium is denoted here by V. The buoyant…
Q: L = W H M (89+1) mm (56+1) mm (151+1) mm (741 +5) g
A: L = (89 ± 1) mm W= (56 ± 1)mm H = (151 ± 1)mm M= (741 ± 5)g Where, Length (L) = 89 mm Uncertainty…
Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…
A: Determine the area of the circle.
Q: (a) What is the area and uncertainty in area of one side of a rectangular plastic brick that has a…
A:
Q: The sides of a small rectangular box are measured to be (1.90 ± 0.01) cm, (2.00 ± 0.02) cm, and (3.1…
A: Given the measurements with uncertainties:Length (l): (1.90±0.01) cmBreadth (b): (2.00±0.02)…
Q: Two piles of sand are combined to make a larger pile. The mass of the first pile of sand is 30 kg ±…
A: The mass of the first pile: The mass of the first pile:
The radius of a sphere is known to be
The volume of a sphere is given by
Find the absolute uncertainty and the percent uncertainty in the volume of the sphere.
| absolute uncertainty | cm3 |
| percent uncertainty |
Step by step
Solved in 2 steps
- 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.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 ) isA rectangle has a length of (2.8 ± 0.2) m and a width of (1.7 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. (a) Calculate the area and give its uncertainty. (Enter your answers in m2.) m2 ± m2 (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) m ± m7. 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
- Calculate 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 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 mThe sides of a small rectangular box are measured to be 1.7 ± 0.015 cm, 2.05 ± 0.035cm, and 2.7 ± 0.11 cm long. In this problem you can approximate the percent error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate its uncertainty in cm3.Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t,x) = x/t. Your measured distance and time have the following values and uncertainties x 3 meters, x =0,1 meters and t 1.8 seconds and 5t = 1.5 seconds. What is the uncertainty in the average speed, bV ? Units are not needed in your answer.