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scoray [572]
3 years ago
10

Consider a particle with initial velocity v that has magnitude 12.0 m/s and is directed 60.0 degrees above the negative x axis.

Physics
1 answer:
suter [353]3 years ago
8 0

Answer:

v_x = -6.00 m/s

v_y = 10.4 m/s

Explanation:

To calculate the velocity of the x-component we must use the cosine function:

v_{x} =-v_{0}cos(\alpha ), where ∝ is the angle 60°, and v_{0} is the velocity 12.0 m/s (note: the negative sign due to the question stating it is "above the negative x-axis).

This gives us a value v_{x} =-6 m/s

Similarly for the y-component, we must use the sine function:

v_{y}=v_{0}sin(\alpha)

which gives us a value v_{y} = 10.392... ≈ 10.4 m/s (since there are 3 significant figures in the information given in the question, this is rounded to 10.4 m/s).

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Steam enters an adiabatic turbine at 6 MPa, 600 ℃, and 80 m/s and leaves at 50 kPa, 100 ℃, and 140 m/s. If the power output of t
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W(r,out) = 5.81 MW

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Explanation:

we use here steam table for get value of h1, s1 etc

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Enthalphy of steam h1 = 3658.8 kJ/kg

Entropy of steam s 1 is = 7.1693 kJ /kg.K

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for 50 kPa and 100 degree

Enthalphy of steam h2 = 2682.4 kJ/kg

Entropy of steam s2 is = 7.6953 kJ /kg.K

so we use here energy balance equation that is

m\times(h1 + \frac{v1^2}{2} = m\times(h2 + \frac{v2^2}{2} + W(out)      ..............1

put here value and we get m

m = \frac{5\times1000}{3658.8-2682.4+\frac{80^2-140^2}{2}\times \frac{1}{1000}}  

solve it we get

m = 5.156 kg/s

so by energy balance equation

m\psi1 = m\psi2 + W(r,out)

W(r,out) = m(\psi1 -\psi2)

W(r,out) = h1 - h2 + ΔKE + ΔPE - To(s1-s2)

W(r,out) = m[h1-h2+ \frac{v1^2-v^2}{2}- To (s1-s2)

W(r,out) = W(a,out) - m.To.(s1-s2)     ........................2

put here value

W(r,out) = 5000 - ( 5.156 × (25 + 273) ×( 7.1693 - 7.6953)

W(r,out) = 5908.19 = 5.81 MW

and

second law deficiency is

\eta = \frac{W(a,out)}{W(r,out)}     ..............................3

put here value

\eta = \frac{5}{5.81}

\eta = 86.1 %

6 0
3 years ago
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