1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
6

The impeller shaft of a fluid agitator transmits 28 kW at 440 rpm. If the allowable shear stress in the impeller shaft must be l

imited to 80 MPa, determine(a) the minimum diameter required for a solid impeller shaft.(b) the maximum inside diameter permitted for a hollow impeller shaft if the outside diameter is 40 mm.(c) the percent savings in weight realized if the hollow shaft is used instead of the solid shaft. (Hint: The weight of a shaft is proportional to its cross-sectional area.)
Engineering
1 answer:
Illusion [34]3 years ago
6 0

Answer:

<em>a) 34 mm</em>

<em>b) 39 mm</em>

<em>c) 93.16%</em>

<em></em>

Explanation:

power transmitted P = 28 kW 28000 W

angular speed N = 440 rpm

angular speed in rad/s Ω = 2\piN/60

Ω = (2 x 3.142 x 440)/60 = 46.08 rad/s

allowable shear stress τ = 80 MPa = 80 x 10^{6} Pa

torque T = P/Ω = 28000/46.08 = 607.64 N-m

a)  for the minimum diameter of a solid shaft, we use the equation

τd^{3}= \frac{16T}{ \pi}

80 x 10^{6} x d^{3} =  \frac{16*607.64}{3.142} = 3094.28

d^{3} = 3094.28/(80 x 10^{6}) = 0.0000386785

d = \sqrt[3]{0.0000386785} ≅ 0.034 m =<em> 34 mm</em>

<em></em>

b) For a hollow shaft with outside diameter D = 40 mm = 0.04 m

we use the equation,

T = \frac{16}{\pi } x τ x \frac{D^{4} - d^{4}}{D^{4} }

where d is the internal diameter of the pipe

607.64 =  \frac{16}{3.142} x 80 x 10^{6} x  \frac{0.04^{4} - d^{4}}{0.04^{4} }

3.82 x 10^{-12} = 0.04^{4} - d^{4}

d^{4} = \sqrt[4]{2.56*10^{-6} }

d = 0.039 m = <em>39 mm</em>

<em></em>

c) <em>we assume weight is proportional to cross-sectional area</em>

<em></em>

for solid shaft,

area = \pi r^{2}

r = diameter/2 = 34/2 = 17 mm

area = 3.142 x 17^{2} = 907.92 mm^2

for hollow shaft, radius is also gotten as before

external area =  \pi r^{2} = 3.142 x 20^{2} = 1256.64 mm^2

internal diameter =  \pi r^{2}  = 3.142 x 19.5^{2} = 1194.59 mm^2

<em>true area of hollow shaft = external area minus internal area</em>

area = 1256.64 - 1194.59 = 62.05 mm^2

material weight saved is proportional to 907.92 - 62.05 = 845.87 mm^2

percentage weight saved is proportional to  845.87/907.92 x 100%

= <em>93.15%</em>

You might be interested in
A ____ is marked by two sets of double yellow lines, with each set having a broken line on the inside, and a solid line on the o
Vitek1552 [10]

Answer:

  center left-turn lane

Explanation:

A <em>center left turn lane</em> will be marked as described. The arrows, if present, generally indicate that left turns are permitted from the lane with these markings.

__

If the double yellow lines are solid, they are considered to be a "barrier" and are not to be crossed.

7 0
3 years ago
Read 2 more answers
ممكن الحل ............
Roman55 [17]

Answer:

i dont understand

Explanation:

4 0
3 years ago
Conditions of special concern: i. Suggest two reasons each why distillation columns are run a.) above or b.) below ambient press
lutik1710 [3]

Solution :

Methods for selling pressure of a distillation column :

a). Set, \text{based on the pressure required to condensed} the overhead stream using cooling water.

  (minimum of approximate 45°C condenser temperature)

b). Set, \text{based on highest temperature} of bottom product that avoids decomposition or reaction.

c). Set, \text{based on available highest } not utility for reboiler.

Running the distillation column above the ambient pressure because :

The components to be distilled have very high vapor pressures and the temperature at which they can be condensed at or below the ambient pressure.

Run the reactor at an evaluated temperature because :

a). The rate of reaction is taster. This results in a small reactor or high phase conversion.

b). The reaction is endothermic and equilibrium limited increasing the temperature shifts the equilibrium to the right.

Run the reaction at an evaluated pressure because :

The reaction is gas phase and the concentration and hence the rate is increased as the pressure is increased. This results in a smaller reactor and /or higher reactor conversion.

The reaction is equilibrium limited and there are few products moles than react moles. As increase in pressure shifts the equilibrium to the right.

7 0
3 years ago
5) Calculate the LMC wal thickness of a pipe and tubing with OD as 35 + .05 and ID as 25 + .05 A) 4.95 B) 5.05 C) 10 D) 15.025
padilas [110]

Answer:

B) 5.05

Explanation:

The wall thickness of a pipe is the difference between the diameter of outer wall and the diameter of inner wall divided by 2. It is given by:

Thickness of pipe = (Outer wall diameter - Inner wall diameter) / 2

Given that:

Inner diameter = ID = 25 ± 0.05, Outer diameter = OD = 35 ± 0.05

Maximum outer diameter = 35 + 0.05 = 35.05

Minimum inner diameter = 25 - 0.05 = 24.95

Thickness of pipe = (maximum outer wall diameter - minimum inner wall diameter) / 2 = (35.05 - 24.95) / 2 = 5.05

or

Thickness = (35 - 25) / 2 + 0.05 = 10/2 + 0.05 = 5 + 0.05 = 5.05

Therefore the LMC wall thickness is 5.05

6 0
3 years ago
Read 2 more answers
Pls follow me in brainly​
Sergio [31]

Answer:

sure

Add on:

!!

5 0
3 years ago
Read 2 more answers
Other questions:
  • A large truck drives down the highway at 10 m/s hauling a rectangular trailer that is 6 m long, 2 m wide, and 2 m tall. The trai
    14·1 answer
  • What does CADCAM stand for ?
    10·2 answers
  • Air at 27°C and a velocity of 5 m/s passes over the small region As (20 mm × 20 mm) on a large surface, which is maintained at T
    6·1 answer
  • Tech A says that proper footwear may include both leather and steel-toed shoes. Tech B says that when working in the shop, you o
    15·1 answer
  • In a creep test, increasing the temperature will (choose the best answer) A. increase the instantaneous initial deformation B. i
    5·1 answer
  • Yall pls help me out
    7·1 answer
  • A force measuring instrument comes with a certificate of calibration that identifies two instrument errors and assigns each an u
    12·1 answer
  • The volume of the pyramid is 36 cubic cm, find the volume of the prism.
    5·1 answer
  • Which Two moon phases are directly opposite each other?
    9·2 answers
  • Does anyone know the answer to this
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!