Answer:
0.44
Explanation:
Poisson's ratio is:
ν = (3K − E) / 6K
where K is the bulk modulus and E is Young's modulus.
Young's modulus is:
E = FL / (AΔL)
where F is the force, L is the initial length, A is the cross sectional area, and ΔL is the change in length.
E = (20 kg × 9.8 m/s²) (1.7 m) / (π (0.02 m)² × 0.0005 m)
E = 0.530×10⁹ Pa
Bulk modulus is:
K = -ΔP / (ΔV/V)
where ΔP is the change in pressure, ΔV is the change in volume, and V is the initial volume.
K = -(180 atm × 101325 Pa/atm) / (-0.012)
K = 1.52×10⁹ Pa
Therefore, the Poisson's ratio is:
ν = (3(1.52×10⁹ Pa) − 0.530×10⁹ Pa) / 6(1.52×10⁹ Pa)
ν = (3(1.52) − 0.530) / 6(1.52)
ν = 0.442
Rounded to 2 significant figures, the Poisson's ratio is 0.44.
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The two additional forces that act on the ball as it travels between the pitcher and the home plate are air resistance and gravity.
<h3>What are the forces that affect object in motion;</h3>
- Air resistance: this is the force that oppose the motion of an object in air due to frictional force
- Gravity: this is the force due to weight of the object and acts downwards.
The two additional forces that act on the ball as it travels between the pitcher and the home plate include:
- Air resistance and
- Gravitational force
<h3>How the forces affect the motion of the ball</h3>
- Air resistance oppose the motion of the ball as it travels in air.
- Gravity is the force due to weight of the ball and acts downwards.
Learn more about forces on object in motion here: brainly.com/question/10454047
Answer:
Flow Rate = 80 m^3 /hours (Rounded to the nearest whole number)
Explanation:
Given
- Hf = head loss
- f = friction factor
- L = Length of the pipe = 360 m
- V = Flow velocity, m/s
- D = Pipe diameter = 0.12 m
- g = Gravitational acceleration, m/s^2
- Re = Reynolds's Number
- rho = Density =998 kg/m^3
- μ = Viscosity = 0.001 kg/m-s
- Z = Elevation Difference = 60 m
Calculations
Moody friction loss in the pipe = Hf = (f*L*V^2)/(2*D*g)
The energy equation for this system will be,
Hp = Z + Hf
The other three equations to solve the above equations are:
Re = (rho*V*D)/ μ
Flow Rate, Q = V*(pi/4)*D^2
Power = 15000 W = rho*g*Q*Hp
1/f^0.5 = 2*log ((Re*f^0.5)/2.51)
We can iterate the 5 equations to find f and solve them to find the values of:
Re = 235000
f = 0.015
V = 1.97 m/s
And use them to find the flow rate,
Q = V*(pi/4)*D^2
Q = (1.97)*(pi/4)*(0.12)^2 = 0.022 m^3/s = 80 m^3 /hours
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