Answer:

So, Ma < 1 Flow is Subsonic
Explanation:
Mach Number:
Mach Number is the ratio of speed of the object to the speed of the sound. It is used to categorize the speed of the object on the basis of mach number as sonic, supersonic and hyper sonic. (It is a unit less quantity)
Mach < 1 Subsonic
Mach > 1 Supersonic
Ma= Speed of the object/Speed of the sound

So, Ma < 1 Flow is Subsonic
Answer:
uhhhhh, are you kidding? a GTX 3060 is far better than a 1060 ding dong
Explanation:
Answer:
The elastic modulus of the steel is 139062.5 N/in^2
Explanation:
Elastic modulus = stress ÷ strain
Load = 89,000 N
Area of square cross section of the steel bar = (0.8 in)^2 = 0.64 in^2
Stress = load/area = 89,000/0.64 = 139.0625 N/in^2
Length of steel bar = 4 in
Extension = 4×10^-3 in
Strain = extension/length = 4×10^-3/4 = 1×10^-3
Elastic modulus = 139.0625 N/in^2 ÷ 1×10^-3 = 139062.5 N/in^2
Answer:
Pmax = 38251.73 N
Explanation:
Given info
L = 1.47 m
D = 112 mm ⇒ R = D/2 = 112/2 mm = 56 mm
d = 101 mm ⇒ r = D/2 = 101/2 mm = 50.5 mm
a) We can apply the following equation in order to get Q (First Moment of Area):
Q = 2*(A₁*y₁-A₂*y₂)
where
A₁ = π*R² = π*(56 mm)² = 3136 π mm²
y₁ = 4*R/(3*π) = 4*56/(3*π) mm = 224/(3*π) mm
A₂ = π*r² = π*(50.5 mm)² = 2550.25 π mm²
y₂ = 4*r/(3*π) = 4*50.5/(3*π) mm = 202/(3*π) mm
then
Q = 2*(3136 π mm²*224/(3*π) mm-2550.25 π mm²*202/(3*π) mm)
⇒ Q = 62437.833 mm³
b) If τallow = 83 MPa = 83 N/mm²
P = ?
We can use the equation
τ = V*Q / (t*I) ⇒ V = τ*t*I / Q
where
t = D - d = 112 mm - 101 mm = 11 mm
I = (π/64)*(D⁴-d⁴) = (π/64)*((112 mm)⁴-(101 mm)⁴) = 2615942.11 mm⁴
Q = 62437.833 mm³
we could also use this equation in order to get Q:
Q = (4/3)*(R³-r³)
⇒ Q = (4/3)*((56 mm)³-(50.5 mm)³) = 62437.833 mm³
then we have
V = (83 N/mm²)*(11 mm)*(2615942.11 mm⁴) / (62437.833 mm³)
⇒ V = 2942.255 N
Finally Pmax = V = 38251.73 N
Complete Question
For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 411 MPa (59610 psi) is applied if the original length is 470 mm (18.50 in.)?Assume a value of 0.22 for the strain-hardening exponent, n.
Answer:
The elongation is 
Explanation:
In order to gain a good understanding of this solution let define some terms
True Stress
A true stress can be defined as the quotient obtained when instantaneous applied load is divided by instantaneous cross-sectional area of a material it can be denoted as
.
True Strain
A true strain can be defined as the value obtained when the natural logarithm quotient of instantaneous gauge length divided by original gauge length of a material is being bend out of shape by a uni-axial force. it can be denoted as
.
The mathematical relation between stress to strain on the plastic region of deformation is

Where K is a constant
n is known as the strain hardening exponent
This constant K can be obtained as follows

No substituting
from the question we have


Making
the subject from the equation above




From the definition we mentioned instantaneous length and this can be obtained mathematically as follows

Where
is the instantaneous length
is the original length



We can also obtain the elongated length mathematically as follows


