Consider the function: z = ( ₁ ) ² 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.
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- A function Fis given by / - 4 where y = (8.854 0.05) and x = (5.11 ÷ 0.03) What is the absolute uncertainty in F% Specifi vour answer up to three decimal placesConsider 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 ∆za) A simple spring is used to measure force. The spring is considered to be linear, so the F = kx, where F is the force in Newton, k is the spring constant in Newton per centimeter, and x is displacement in cm. If x = 20.0 ± 1.25 cm andk 800 ± 16 N/cm, %3D calculate the maximum possible error and the uncertainty of the measured force in absolute (dimensional) and relative (%) terms.
- A student wanted to find the value of factor A experimentally in the equation F=9.2Av?. If the student plotted the values of F on the y-axis arm the values of v2 on the x-axis. The value of factor A can be found by which one of the following relations: Select one: OA. 11.96 x slope OB. 18.40 x slope OC 9.20 x slope D.0.11 x slope OE. 0.11 4 slope ge Next page ENG 5:00 PM UK 5/24/2021 DELLFind the average, variance and the standard deviation for the following: 1.23, 1.24, 1.18, 1.19, 1.26, 1.21, 1.22, 1.25, 1.20, 1.27, 1.28Q.11. The radius of a sphere is measured to be (2.1± 0.5) cm. Calculate its surface area with error limits.
- Step 1 Rewrite the original integral Therefore, let du a² + u² (²) dt as + 16 = arctan(y) to Step 2 Use the following integration formula for the inverse trigonometric functions. 1.20 t (27²2² +42 (2) ot = (- t 1 + X X 4 2 (2) dt arctant arctan tan()+c 4 ✓)) + CA function fis defined by f = 4.2 x/y? where x = 2.40 ÷ 0.01 and y = 1.10 € 0.04 Calculate the absolute uncertainty in f. Report your answer to two decimal places.A function f is given by where x - 7,82, y = 5.65 ÷ 0.05.2 = 8.87 ÷ 0.03 Calculate the absolute uncertaintv'in f. Note that x has no uncertainty. HINT: The square root can be treated as an exponent of 1/2 Report your answer to two decimal places. See the pictures
- If actual value of f(x1)=0,56 and the approximate value of f(x1)=0,6, calculate the relative error?(4i+2j)cross(2i-3j) find it's cross product?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.