The largest and the smallest balls used in the experiment are with diameter 9.52 mm, and 2.38 mm respectively. for a glycerin with viscosity 1.5 pa. s, what is the time necessary for each ball to rich a velocity 99% of the terminal velocity? density of the ball material is given in the text. round the result to three decimal places.

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)