Reference no: EM13672681

Question 1:

Orifice meters are used to measure the flow rate of a fluid. In an experiment, the flow coefficient K of an orifice is found by collecting and weighing water flowing through the orifice during a certain interval while the orifice is under a constant head. K is calculated from the following formula:

K =  M / tAp(2gΔh)^1/2

The values of the parameters have been determined to be as follows, with 95% confidence:

Mass Time Density Diameter Head

M = 393.00 ± 0.03 kg t = 600.0 ± 1 s p = 1000.0 ± 0.1% kg/m3 d = 1.270 ± 0.0025 cm (A is area) Δh= 366.0 ± 0.3 cm

Find the value of K, its uncertainty (with 95% confidence), and the maximum possible error.

Question 2:

A mechanical speed control system works on the basis of centrifugal force. Which is related to anugular velocity through the formula

F = mrω²

where F is the force, m is the mass of the rotating weights, r is the radius of rotation, is the angular velocity of the system. The following values are measured to determine ω:r = 20 ± 0.02 mm, m = 100 ± 0.5 g, and F = 500 ± 0.1 % N. Find the rotarional speed in rpm and its uncertainty. All measured values have a confidence level of 95%.