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Calculate the standard uncertainty in z if z=Xsinθ using the angle (57.00 +- 0.85) degrees and the value X = (58.20 +- 0.77)
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- Calculate the standard uncertainty in z ifz=sinθusing the angle (46.60 ± 0.13) degreesz = __± __Calculate the standard uncertainty in z ifz=Xsinθusing the angle (45.00 ± 0.74) degreesand the value X = (23.60 ± 0.51)z = ___±___Consider the function: Z = where x = 13.36 ± 0.03 and, y = 6.27 ± 0.05 are two independent measured quantities, 1 PHY1509 PHYSICS SECTION each with its own error. Calculate the value of z and the standard error Az.
- Compute the uncertainty of 1/x in terms of x and its uncertainty, δx .A rectangle has length l = (56 ± 5) mm and width w = (38 ± 2) mm. Calculate the uncertainty δP of its perimeter P = 2(l+w) in mm. Enter your answer (number only, no units) in the field below.An angle is measured to be 29.0±0.4deg. What is the absolute uncertainty in the sine of the angle? What is the absolute uncertainty in the cosine of the angle?
- An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.Consider the function: z=(x / y3) 1/2 where ? = 13.36 ± 0.03 and, ? = 6.27 ± 0.05 are two independent measured quantities, eachwith its own error. Calculate the value of ? and the standard error ∆zSuppose that Vsound = (32 ± 7) x 101 m/s and that we want to find the temperature in Kalvin by using the following formula: T = (50und)2. Find the value of the 20 Temperature in degree Celsius (°C) and his uncertainty. Thank you
- Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius accordng to this function I(m,r) = 1/2 m r. Your measured mass and radius have the following uncertainties Sm = 0.34 kg and Sr = 0.17 m. What is is the uncertainty in moment of interia, %3D S1 , if the measured mass, m 6.05 kg and the measured radius, r = 14.74 m? Units are not neededUsing partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm ANSWER IS 0.20 +- 0.03 KGAS SAID, USE UNCERTAINTY PROPAGATION SHOWN IN THE IMAGEUsing partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm ----------------------------------- THAT'S THE QUESTION ASKED, see the image for the answer. Also have a look at the second image, the blue one. --------------------------------------------------------------- Explain what is the 1/m just after the equals sign at the second line of the answer. Also, explain why the answer does not use the square root just like the blue image, of if it is using it. Then, say in which case should I use the partial derivate to calculate the uncertainty.