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Rasek [7]
4 years ago
8

Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7

Engineering
1 answer:
Kaylis [27]4 years ago
3 0
X ≤ −3 or x > 3
inequality form
You might be interested in
18
a_sh-v [17]

Answer:

englishhhhhhhhh

Explanation:

we dont understand

6 0
3 years ago
The thrust F of a screw propeller is known to depend upon the diameter d,speed of advance \nu ,fluid density p, revolution per s
musickatia [10]

Answer:

<em>screw thrust = ML</em>T^{-2}<em> </em>

Explanation:

thrust of a screw propeller is given by the equation = pV^{2}D^{2} x \frac{ND}{V}Re

where,

D is diameter

V is the fluid velocity

p is the fluid density

N is the angular speed of the screw in revolution per second

Re is the Reynolds number which is equal to  puD/μ

where p is the fluid density

u is the fluid velocity, and

μ is the fluid viscosity = kg/m.s = ML^{-1}T^{-1}

<em>Reynolds number is dimensionless so it cancels out</em>

The dimensions of the variables are shown below in MLT

diameter is m = L

speed is in m/s = LT^{-1}

fluid density is in kg/m^{3} = ML^{-3}

N is in rad/s = LL^{-1}T^{-1} =

If we substitute these dimensions in their respective places in the equation, we get

thrust = ML^{-3}(LT^{-1}) ^{2}L^{2}\frac{T^{-1} L}{LT^{-1} }

= ML^{-3}L^{2}T^{-2}

<em>screw thrust = ML</em>T^{-2}<em> </em>

This is the dimension for a force which indicates that thrust is a type of force

6 0
3 years ago
. A normal-weight concrete has an average compressive strength of 20 MPa. What is the estimated flexure strength
bulgar [2K]

Answer:

2.77mpa

Explanation:

compressive strength = 20 MPa. We are to find the estimated flexure strength

We calculate the estimated flexural strength R as

R = 0.62√fc

Where fc is the compressive strength and it is in Mpa

When we substitute 20 for gc

Flexure strength is

0.62x√20

= 0.62x4.472

= 2.77Mpa

The estimated flexure strength is therefore 2.77Mpa

4 0
3 years ago
Air enters a compressor at 100 kPa and 25 ⁰C. It is compressed to 2 MPa and exits the compressor at 540 K. The compressor is at
AysviL [449]

Answer:

(a) The reversible work is 207 kJ/kg

(b) The irreversibility rate is -38.39 kJ/kg

Explanation:

State1 : p1 = 100kpa, T1= 25+273 =298k

From air table, h1 =298.18 kJ/kg, s10= 1.69528 kJ/kgK

State 2a:p2=2mpa,t2=540k (actual condition 2a)

h2a= 544.35 kJ/kg,s2a0=2.29906

actual work input to the compressor =wout=h1-h2+Qin

=298.18-544.35+(-150)kJ/kg(- sign indicate heat loss)

=(-246.17)kJ/kg(-ve sign indicates the work is given into the system

a) Reversible work= Win actual - any irreversiblities present

                             =246.17 + irreversibilty

b) irreversibility = T0(Entopy generation Sgen) for air, Sgen

                         =s20-s10-Rln(p2/p1), T0=250C

                         =(25+273)(s2a0-s10-Rlnp2/p1+Qout/Tsurr)

    = 298x[(2.29906-1.69528-0.287kJ/kgK xln(2000kpa/100) + 150 /298]

  = -38.39 kJ/kg

a)Reversible work = Win actual -any irreversiblities present                  

                           =246.17 + irreversibilty

                           =246.17+-38.39

                          =207 kJ/kg

8 0
3 years ago
Lumber jacks use cranes and giant tongs to hoist their goods into trucks for transport. Fortunately, smaller versions of these d
Tems11 [23]

Complete Question

Lumber jacks use cranes and giant tongs to hoist their goods into trucks for transport. Fortunately, smaller versions of these devises are available for weekend warriors who want to play with their chain saws. Let us model the illustrated tongs as a planar mechanism that carries a log of weight 210 N. Given the following dimensions: 35 mm 10 mm 40 mm 230 mm 85 mm 45 mm 10 mm 35 mm 345 mm determine the force in N and moment in Nm that our worker exerts on the tongs. Also determine the pinching force magnitude in N that the tongs exert on the log; i.e. determine the horizontal force that the tong's teeth exert on the log. Assume the  point E is centered between the tong's teeth.

The diagram for this question is shown on the first uploaded image

Answer:

The force P is P= 210 N

and the moment M is M = -48.3N \cdot m

The horizontal force that the tong teeth exerts is F_T =89.67N

Explanation:

First let denote the dimension to corresponding to the diagram

      a=35mm , b= 10mm, c= 40mm, d= 230mm, e= 85mm,f= 45mm,\\g= 10mm,h=35mm,i=345mm.

Next looking at the diagram let us consider the vertical direction

At equilibrium

               \sum F_{vertical} =0

This mean that

               P+ W = 0

Since they are acting in opposite direction the equation becomes

               P - W = 0

=>           P= W

=>            P= 210 N

At Equilibrium  Moment about F gives

               \sum M_f  = 0

=> F_T * (e +f + g+ h+ i) - F_T * (e+ f+g+ h+i) - W *d -M =0

=> M = -W *d

=> M = -210 * 0.230

=> M = -48.3N \cdot m

Here F_T is the horizontal force that the tong teeth exerts

Now let consider the part BAF of the system as shown on the second uploaded image

  Now the angle \theta is mathematically given as

             tan \theta = \frac{g+h}{a}

=>        \theta = arctan \frac{g+h}{a}

                = arctan (\frac{10+35}{35} )

               =52.125^o

Now at equilibrium the moment about A is

                \sum M_A = 0

          =>  P * (c+d) +M + F_{BC} cos \theta *f+F_{BC}sin\theta *(a+b) =0

                210 * (0.040 + 0.230)-48.3+F_{BC} cos (52.125^o)*0.045+ F_{BC}sin(52.125^o)* (0.035 +0.010) =0

    =>   10.29 +F_{BC} (0.02763+0.03552) =0

    =>     F_{BC} =\frac{10.29}{0.06315}

    =>      F_{BC} = - 162.925 N

Looking at the forces acting on the teeth as shown on the third uploaded image

 At Equilibrium the moment about D is

      \sum M_D = 0

=>  \frac{W}{2} *d - F_T *(i+h) -F_{BC} cos \theta *h -F_{BC} sin \theta * (b+c) =0

=>   \frac{210}{2} * 0.230 -F_T (0.345 +0.035) - (-162.925)cos(52.125^o) *0.035\\-(-162.925)sin(52.125^o)(0.010 +0.040) =0

=>    34.081  = F_T(0.345 +0.035)

=>   F_T =89.67N

         

   

         

7 0
4 years ago
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