5. A biomedical device utilizes a stirrer to mix the specimen in a container. To design the device, we need to know the power required to operate this machine. It is known that the power is a function of 1) diameter of stirring impeller, 2) number of rotations of the impeller per unit time, 3) specimen viscosity, and 4) specimen density. Using Buckingham Pi theorem to obtain the relationship between power and other variables. In the experimental testing, the power consumption was found to be proportional to the square of rotation speed. By what factor would the power be expected to increase if the device needs to scale up and the diameter of stirring impeller was doubled?

the edge of a cube was found to be 40cm w a possible error of .2cm. use differentials to estimate a. the max possible error regarding the cube’s volume b. the relative error in the volume of the cube c. the percentage error in the volume of the cube

Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 µm (mg/m³): 90 177 180 354 365 442 964 y 0.38 0.60 0.47 0.66 0.62 0.69 0.91 (a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy? shows a reasonable linear relationship. O No, a scatter plot does not show a reasonable linear relationship. (b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.) (c) The investigators were particularly interested in…

Need help with (c) and (d) Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 µm (mg/m3): x 88 177 182 354 369 442 970 y 0.39 0.60 0.50 0.66 0.61 0.69 0.92 (a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy?   (b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.)   (c) The investigators were particularly interested in the impact on mist of increasing velocity from 100 to 1000 (a…

An engineer wants to compare the tensile strengths of steel bars that are produced using a conventional method and an experimental method. (The tensile strength of a metal is a measure of its ability to resist tearing when pulled lengthwise.) To do so, the engineer randomly selecto

Hello, Can someone please show how to solve this problem?

EXERCISE 2.2 An automobile follows a circular road whose radius is 50 m. Let x and y respectively denote the eastern and northern directions, with origin at the center of the circle. Suppose the vehicle starts from rest at x = 50 m heading north, and its speed depends on the distance s it travels according to v=0.5s-0.0025s², where s is measured in meters and v is in meters per second. It is known that the tires will begin to skid when the total acceleration of the vehicle is 0.6g. Where will the automobile be and how fast will it be going when it begins to skid? Describe the position in terms of the angle of the radial line relative to the x axis.