Practice Problems Worksheet Answer Key Show complete solutions to the following problems and box final answers with units. A sample of an unknown material weighs 300 N in air and 200 N when submerged in an alcohol solution with a density of 0.70 x 103 kg/m3. What is the density of the material? Given: Fg(air) = 300 N Fg(alcohol) = 200 N = 0.7 x 103 kg/m3 ρalcohol Unknown: or ρmaterial ρo Solution: FB = Fg(air) Fg(alcohol) = 300 N 200N – – FB = 100 N Fg(air) / FB = / ρo ρalcohol = Fg(air) / FB * = (300 N / 100 N) * 0.7 x 103 kg/m3 ρo ρalcohol = 2.1 x 103 kg/m3 ρo A 40-cm tall glass is filled with water to a depth of 30 cm. What is the gauge pressure at the bottom of the glass? What is the absolute pressure at the bottom of the glass? Given: h = 30 cm = 0.3 m g = 9.81 m/s2 = 1.0 x 103 kg/m3 ρwater Uknown: Pgauge Pabsolute Solution: Pgauge = = (1.0 x 103 kg/m3) (9.81 m/s2) (0.3 m) ρgh Pgauge = 2.9 x 103 kg/m3 Pa Pabsolute = Patm + Pgauge Pabsolute = 1.01 x 105 Pa + 2.9 x 103 kg/m3 Pa Pabsolute = 1.04 x 105 Pa
Practice Problems Worksheet Answer Key Show complete solutions to the following problems and box final answers with units. A sample of an unknown material weighs 300 N in air and 200 N when submerged in an alcohol solution with a density of 0.70 x 103 kg/m3. What is the density of the material? Given: Fg(air) = 300 N Fg(alcohol) = 200 N ρalcohol = 0.7 x 103 kg/m3 Unknown: ρmaterial or ρo Solution: FB = Fg(air) – Fg(alcohol) = 300 N – 200N FB = 100 N Fg(air) / FB = ρo / ρalcohol ρo = Fg(air) / FB * ρalcohol = (300 N / 100 N) * 0.7 x 103 kg/m3 ρo = 2.1 x 103 kg/m3 A 40-cm tall glass is filled with water to a depth of 30 cm. What is the gauge pressure at the bottom of the glass? What is the absolute pressure at the bottom of the glass? Given: h = 30 cm = 0.3 m g = 9.81 m/s2 ρwater = 1.0 x 103 kg/m3 Uknown: Pgauge Pabsolute Solution: Pgauge = ρgh = (1.0 x 103 kg/m3) (9.81 m/s2) (0.3 m) Pgauge = 2.9 x 103 kg/m3 Pa Pabsolute = Patm + Pgauge Pabsolute = 1.01 x 105 Pa + 2.9 x 103 kg/m3 Pa Pabsolute = 1.04 x 105 Pa
uoh_fluidmechanics_lesson01_practiceproblemsas_v2_tedl_dwc.docx