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3 years ago

12

1. (16 points) True or False, one point each, Write down F (false) or T (true). ___ (01) In a mechanical design, it is recommend

ed to use standard size/dimension to overcome uncertainties in stress or material strength

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

True

Explanation:

I looked it up

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Refrigerant-134a enters an adiabatic compressor as saturated vapor at -24°C and leaves at 0.8 MPa and 60°C. The mass flow rate o

Leni [432]

Answer:

(a) The power input to the compressor: $\dot{W}=73.07 kJ/s = 73.07 kW$

(b) The volume flow rate of the refrigerant at the compressor inlet: $\dot{v}=0.209 m^{3}/s$

Explanation:

(a)

We need to check the values of enthalpy (as we have an open system) for both states, being the inlet, state 1 and the outlet, state 2. We will know these values by checking the vapor charts of R134a, I used the ones found in Thermodynamics of Cengel, 7th edition.

Then, our values are:

$h_{1}=235.92kJ/kg\\h_{2}=296.81kJkg$

Now we proceed to know the work with the following expression:

$\dot{W}=\dot{m}(h_{2}-h_{1})$

Now we replace values and our result is:

$\dot{W}=73.07 kJ/s = 73.07 kW$

(b)

To know the volume rate at the compressor inlet, we need to know the specific volume in that phase, as we have that is saturated and at -24°C, we can read our table:

$\nu=0.1739m^{3}/kg$

With our specific volume and the mass rate, we can calculate the volume rate:

$\dot{v}=\nu * \dot{m}\\\dot{v}=0.209 m^{3}/s$

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The drum rolls without sliding and as such its' instantaneous center will lie at B. Thus;

V_d = V_c = 160 mm/s

Also, a_d = a_c = 600 mm²/s

Now, formula for velocity at A is;

V_a = r_ab * ω

where ω = 160/(100 - 60)

ω = 4 rad/s

V_a = 60 * 4

V_a = 240 mm/s

Acceleration at A = V_a²/r_ab

Acceleration at A = 240²/60 = 960 mm²/s

Now, V_b = 100 * 4 = 400 mm/s

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Explanation:

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