A pyramid has a square base of side x and height h. The volume V of the pyramid is given by the expression: V x²h 3 If V is measured to 5% and ʼn is measured to 3%, what is the percentage uncertainty of x? Remember to include the % symbol with your answer.
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Q: a be Your Answer: C6 C₂ x10 C3 C5 In the figure C₁ = 12 μF, C₂ = 14 μF, C3 = 18 μF, C4 = 18 μF, C5 =…
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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: 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…
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- Grains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.5 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.2 m on an edge?A 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 ± mThe 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 uncertainty
- Can you please help me with this questionthe average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?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
- A parameter x is measured with a relative uncertainty of 4 percent. If x=19.0, what is the absolute uncertainty in the natural logarithm of x? If x=0.082, what is the absolute uncertainty in the natural logarithm of x?The 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.
- Calculate the approximate number of board feet (one board foot is defined as a volume of 1 in x 1 ft x 1 ft) of lumber that would be available in a log that has a diameter of 26 cm and a length of 2.4 m. Assume the log is a right cylinder and that the saw mill must make the log into a rectangular prism before cutting it into boards.You are to measure the area of a flat rectangular surface using a meterstick. The measured dimensions of the surface are 19.6 cm ± 0.1 cm by 32.3 cm ± 0.1 cm. (Calculate your answers using the propagation of errors described in Appendix C.) (a) What is the area of this surface? (b) What is the uncertainty due to measurement errors on this area?What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.8460.04 m?