Ask Question, Ask an Expert


Ask Mechanical Engineering Expert

problem 1: (Hydrostatic pressure on curved 3-D surfaces)

A shark tank in the aquarium has a hemispherical glass viewing “bubble” jutting into the water from the side wall. The radius of the bubble is 1m, starting 2m below the water surface. What is the horizontal and vertical resultant force of the water on the bubble?

274_hydrostatic pressure.jpg

problem 2: (Buoyancy of a floating body)

Ice has a density 91.7% of liquid water.  For an ice cube (1 cm per side):

a) what fraction of the volume floats above the water surface at standard pressure?
b) How does this fraction change if the air pressure increases by 2 psi?

131_Buoyancy of a floating body.jpg

problem 3: (Buoyancy of a submerged body; compressibility of air)

A grade 4 science student inverts a cup full of air into a water tank. If it takes 1 lb of force to hold the cup down 3 inches below the surface, how much force does it take to hold the cup down at a depth of 5 feet? Assume (1) the cup has negligible weight, (2) the temperature of the air is always the same as the surrounding water temperature.

1427_Buoyancy of a submerged body.jpg

problem 4: (Buoyancy; force & moment balance)

A partially submerged, homogeneous timber is 0.15m by 0.35m in cross-section. What is the specific weight of the timber and the tension in the rope holding one end down?

126_moment balance.jpg

problem 5: (Rigid body acceleration)

A tank of water accelerates down an icy frictionless ramp of angle α. What angle (θ) does the water make with the horizontal at equilibrium?

679_rigid body acceleration.jpg

problem 6: (Rigid body rotation)

Derive the equation for the shape of the surface zsurf (rsurf) for a rigid-body rotation of water at angular speed ω (rad/sec).

855_rigid body rotation.jpg

1) Start with pressure gradient in cylindrical coordinates:

2) prepare out force balance in r and z directions

3) Integrate using the method we did in class:

F = ma in r-direction gives:  P(r,z) = P(r) + f1(z)
F = ma in z-direction gives:  P(r,z) = P(z) + f2(r)

4) Solve for z(r) at surface, where P = Patm = constant

problem 7: (Bernoulli equation along a streamline)

Water flows from station (1) to (2) around an expanding corner pipe, 3m high.
The speed along the center streamline is 10 m/s at (1) and 5 m/s at (2).

a) What is the pressure difference between the stations (and which is higher)?

b) List all key assumptions inherent in your analysis.

992_Bernoulli equation.jpg

Mechanical Engineering, Engineering

  • Category:- Mechanical Engineering
  • Reference No.:- M91407

Have any Question? 

Related Questions in Mechanical Engineering

Define nut dilation why can it be a problemcompute the

Define nut dilation. Why can it be a problem? Compute the approximate thermal expansion of a 1=2-13 2, SAE J429 GR 8 bolt when it is subjected to a temperature rise of 1508F (e.g., from 708F to 2208F) ? Define stress rel ...

What is meant by the term prevailing torque what do we

What is meant by the term prevailing torque? What do we mean by the terms initial preload and residual preload? Why do they differ? What limits the usefulness of the so-called, long-form torque-preload equation? Explain ...

Calculate the total lift force on the arctic hut shown

Calculate the total lift force on the Arctic hut shown below as a function of the location of the opening. The lift force results from the difference between the inside pressure and the outside pressure. Assume potential ...

The following table gives averaged total energies for a

the following table gives averaged total energies for a series of Monte Carlo Ising model simulations at different temperatures. Calculate the approximate heat capacity of the system before and after the phase transition ...

Consider the phase diagram for 4hea how many phases are

Consider the phase diagram for 4He a. How many phases are shown? b. How many triple points are shown? c. What is the boiling point of helium at 0.01 bar? d. What are the possible phase transitions?

1 a venturi meter with an inlet diameter of 06 m is

1. A Venturi meter with an inlet diameter of 0.6 m is designed to handle 6 m3 /s of standard air. What is the required throat diameter if this flow is to give a reading of 0.10 m of alcohol in a differential manometer co ...

An isotopically enhanced sample has ndi moles of deuterated

An isotopically enhanced sample has nDI moles of deuterated hydrogen iodide and nHI moles of common HI at 398 K. Comparison of the infrared intensities of the v = 1 S 2 transition inds a ratio of 0.100 for DI molecules ( ...

1 estimate the viscosity of nitrogen at 175 k using given

1. Estimate the viscosity of nitrogen at 175 K using given equation. 2. Calculate the viscosity of oxygen at 350°K and compare with the value given in Appendix I. 3. What is the percentage change in the viscosity of wate ...

A watertight bulkhead 22 ft high forms a temporary dam for

A watertight bulkhead 22 ft high forms a temporary dam for some construction work. The top 12 ft behind the bulkhead consists of sea water with a density of 2 slugs/ft 3  , but the bottom 10 ft begin a mixture of mud and ...

1 by how much will the clamping force on the joint be

1. By how much will the clamping force on the joint be reduced? Sketch the new joint diagram, assuming maximum initial preload? Compute the estimated maximum bolt tension and minimum clamping force under the 3,000 lbs ex ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro