19. Fluid Mechanics

Density

19. Fluid Mechanics

# Density - Video Tutorials & Practice Problems

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## Intro to Density

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## Density Values & Conversions

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## Specific Gravity

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Problem

ProblemA wooden door is 1 m wide, 2.5 m tall, 6 cm thick, and weighs 400 N. What is the density of the wood in g/cm^{3}? (use *g* = 10 m/s^{2})

A

0.0267 g/cm

^{3}B

0.267 g/cm

^{3}C

267 g/cm

^{3}D

2670 g/cm

^{3}5

Problem

ProblemSuppose an 80 kg (176 lb) person has 5.5 L of blood (1,060 kg/m^{3} ) in their body. How much of this person's total mass consists of blood? What percentage of the person's total mass is blood?

A

0.0519 kg

B

0.0583 kg

C

5.19 kg

D

5.83 kg

6

Problem

ProblemYou want to verify if a 70-g crown is in fact made of pure gold (19.32 g/cm^{3} ), so you lower it by a string into a deep bucket of water that is filled to the top. When the crown is completely submerged, you measure that 3.62 mL of water has overflown. Is the crown made of pure gold?

A

Yes

B

No

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PRACTICE PROBLEMS AND ACTIVITIES (43)

- A brass wire is to withstand a tensile force of 350 N without breaking. What minimum diameter must the wire ha...
- A square steel plate is 10.0 cm on a side and 0.500 cm thick. (a) Find the shear strain that results if a forc...
- In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16×10^8 ...
- A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6×10^6 Pa, and ...
- A solid gold bar is pulled up from the hold of the sunken RMS Titanic. (c) The bulk modulus of lead is one-fou...
- Stress on a Mountaineer's Rope. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-...
- A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 700 N is applied t...
- Two circular rods, one steel and the other copper, are joined end to end. Each rod is 0.750 m long and 1.50 cm...
- A cube 5.0 cm on each side is made of a metal alloy. After you drill a cylindrical hole 2.0 cm in diameter all...
- On a part-time job, you are asked to bring a cylindrical iron rod of length 85.8 cm and diameter 2.85 cm from ...
- At one point in a pipeline the water's speed is 3.00 m/s and the gauge pressure is 5.00×10^4 Pa. Find the gaug...
- BIO. Artery Blockage. A medical technician is trying to determine what percentage of a patient's artery is blo...
- Gold Brick.You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold....
- A small circular hole 6.00 mm in diameter is cut in the side of a large water tank, 14.0 m below the water lev...
- A pressure difference of 6.00 * 104 Pa is required to maintain a volume flow rate of 0.800m3/s for a viscous f...
- (a) A cylindrical tank of radius 𝑅, filled to the top with a liquid, has a small hole in the side, of radius ...
- A water tank of height h has a small hole at height y. The water is replenished to keep h from changing. The w...
- 20°C water flows at 1.5 m/s through a 10-m-long, 1.0-mm-diameter horizontal tube and then exits into the air. ...
- A 5.0-m-diameter solid aluminum sphere is launched into space. By how much does its diameter increase? Give yo...
- An unknown liquid flows smoothly through a 6.0-mm-diameter horizontal tube where the pressure gradient is 600 ...
- The 30-cm-long left coronary artery is 4.6 mm in diameter. Blood pressure drops by 3.0 mm of mercury over this...
- Air flows through the tube shown in FIGURE P14.63. Assume that air is an ideal fluid. (b) What is the volume ...
- Air flows through the tube shown in FIGURE P14.62 at a rate of 1200 cm³/s . Assume that air is an ideal fluid....
- A hurricane wind blows across a 6.0 m x 15.0 m flat roof at a speed of 130 km/h.(b) What is the pressure diffe...
- Water from a vertical pipe emerges as a 10-cm-diameter cylinder and falls straight down 7.5 m into a bucket. T...
- (b) A pressure gauge reads 50 kPa as water flows at 10.0 m/s through a 16.8-cm-diameter horizontal pipe. What ...
- (a) A nonviscous liquid of density p flows at speed v₀ through a horizontal pipe that expands smoothly from di...
- b. 50 cm³ of gasoline are mixed with 50 cm³ of water. What is the average density of the mixture?
- a. What volume of water has the same mass as 8.0 m³ of ethyl alcohol?
- A 2.0 cm ✕ 2.0 cm ✕ 6.0 cm block floats in water with its long axis vertical. The length of the block above wa...
- A 6.0 m ✕ 12.0 m swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. Wh...
- What does the top pressure gauge read in FIGURE EX14.28?
- The speed of sound in air at 20°C is 344 m/s. (a) What is the wavelength of a sound wave with a frequency of 7...
- Two pulses are moving in opposite directions at 1.0 cm/s on a taut string, as shown in Fig. E15.34. Each squar...
- FIGURE EX16.8 is a picture at t = 0 s of the particles in a medium as a longitudinal wave is passing through. ...
- Earthquakes are essentially sound waves—called seismic waves—traveling through the earth. Because the earth is...
- Draw the history graph D(x = 4.0 m, t) at x = 4.0 m for the wave shown in FIGURE EX16.4.
- A hammer taps on the end of a 4.00-m-long metal bar at room temperature. A microphone at the other end of the ...
- A 1000 Hz sound wave traveling through 20°C air causes the pressure to oscillate around atmospheric pressure b...
- A 20.0-cm-long, 10.0-cm-diameter cylinder with a piston at one end contains 1.34 kg of an unknown liquid. Usin...
- Two loudspeakers in a 20°C room emit 686 Hz sound waves along the x-axis. b. If the speakers are out of phase,...
- Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 20 c...
- A hollow aluminum sphere with outer diameter 10.0 cm has a mass of 690 g. What is the sphere's inner diameter?