The new Dyson upright vacuum cleaner can create a pressure differential (gauge pressure) of -20 kPa at the tip of the 4-cm-diameter tool nozzle. a) What percentage of atmospheric pressure can the vacu

a) The atmospheric pressure at sea level is \approx imately 101.3 kPa. Therefore, the Dyson vacuum cleaner can remove \approx imately 19.7% (-20/101.3 x 100%) of the atmospheric pressure. b) The ultimate pick-up mass of the nozzle depends on factors such as the density and size of the particles being picked up. However, assuming a standard air density of 1.225 kg/m^3 and an average particle size of 0.1 mm, the maximum pick-up mass for the 4-cm-diameter tool nozzle can be calculated using the following equation: Mass = (Pressure differential x Area x Density x Velocity) / Gravity Assuming a conservative velocity of 1 m/s, the maximum pick-up mass would be \approx imately 2.2 grams. However, this value may vary depending on the specific conditions and material being picked up.