The radius of a circle is measured to be 0.545 ± .005 m. Calculate the area of the circle with its absolute uncertainty and state the final answer using correct significant figures. Hint: Use 3.14 as the value of π and treat it as a constant. Remember constants have no uncertainty.

Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: in this question  we find area and circumference of circle . it depend upon it's radius.

Q: Consider FIG-DD in the appendix.   Note: For Blocks “A” & “B” & “C”: The mass of “A” is 30 kg.

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

A: a) b)

Q: The length and width of a rectangular room are measured to be 3.764 + 0.005 m and 4.030 + 0.005 m.…

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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: A member in your group writes a length measurement as 2.26 ± 0.2 . The first term, 2.26, is called…

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Q: One long wire lies along an x axis and carries a current of 43 A in the positive x direction. A…

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

A: In the measured value of the physical quantity the number of digits about the correctness of which…

Q: Find the absolute and relative uncertainty for the following addition: 3.4 (± 0.2) + 2.6 (+ 0.1)

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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: A car speedometer has a 8% uncertainty. What is the range of possible speeds (in km/h) when it reads…

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

A: We have to find the sum, product (a)  578 is answer (b) 2.4 (c) 56.206

Q: A distance is expressed as 9792.02 sft. What is the length in international feet? Express your…

A: Given, distance is expressed as 9792.02 sft U.S. survey feet.

Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: The online lab manual for this experiment gives the formula for the volume of a sphere: [If your…

A: Bbb…

Q: A car speedometer has a 8% uncertainty. What is the range of possible speeds (in km/h) when it reads…

A: Given:- ∆vv×100= 8% v= 50 km/h

Q: The radius of a solid sphere is measured to be (6.30 i 0.30) cm, and its mass is measured to be…

A: (given) Radius of the sphere = 6.30 cm = 6.30×10-2 m Uncertainty in the radius δr = 0.30 cm =…

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…

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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…

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Q: After carrying out some calculations (based on experimental data) your calculator shows that the…

A: Given: The mass of the object is 178.54968 g. The uncertainty in the mass is ±25.0163482 g.…

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…

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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: Calculate the following and express the answer in the proper number of significant figures:…

A: calculation

Q: Which of the following pairs of measured numbers have the same uncertainty or error in both numbers?…

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Q: Calculate the following and express the answer in the proper number of significant figures:…

A: Required : (5.245x0.03x9.0023)/(4.076x0.029x42.3)

Estimate of calculation