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Arte-miy333 [17]
3 years ago
15

Which of the following describes the variable that responds to a change?

Physics
2 answers:
timama [110]3 years ago
8 0
Dependent variable is your answer.
Hitman42 [59]3 years ago
8 0

Answer:

b. Dependent variable

Explanation:

Dependent variable is also referred to as the responding variable.It is what is measured or studied in the experiment. The dependent variable responds to the independent variable. It's what changes as a result of the changes to the independent variable.

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An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 95 kPa and 278C, and 75
Lina20 [59]

Answer:

a) T_3 = 1539 K , P_3 = 3898 KPa

b) w_net,out = 392.4 KJ/kg

c) n_th = 0.523 - 52.3 %

d) mep = 495 KPa

Explanation:

Given:

- Sate 1: P_1 = 95 KPa, T_1 = 27 C

- q_in = 750 KJ/kg  (constant volume process)

- R_air = 0.287 KJ/kgK

- r = 8  (compression ratio)

Find:

a) Pressure and Temperature (P_3 & T_3) at the end of Heat addition process.

Analysis:

Path 1 to 2 (isentropic compression):

T_1 = 300 K   ----------> u_1 = 214.07 KJ/kg  , v_r1 = 621.2

v_r2 = v_r1 * (V_2 / V_1) = 621.2 *(1 / 8) = 77.65

v_r2 = 77.65 -----------> u_2 = 491.2 KJ/kg , T_2 = 673.1 K

Use Ideal Gas Law for states 1 and 2:

P_2 * v_2 / T_2 = P_1 * v_1 / T_1

P_2 = P_1 * (v_1 /v_2) * ( T_2 / T_1 )

P_2 =  95 KPa * (8)*(673.1/300) = 1705 KPa

Path 2 to 3 (constant volume Heat - Addition):

q_in = (u_3 - u_2 )

u_3 = q_in + u_2

u_3 = 750 +491.2 = 1241.2 KJ/kg

u_3 = 1241.2 KJ/kg  ----------> T_3 = 1539 K , v_r3 = 6.588

Use Ideal Gas Law for states 2 and 3:

P_3 * v_3 / T_3 = P_2 * v_2 / T_2

P_3 = P_2 * ( T_3 / T_2 )

P_3 =  1705 KPa*(1539/673.1) = 3898 KPa

Answer: T_3 = 1539 K and P_3 = 3898 KPa

Path 3 to 4 (isentropic expansion):

v_r4 = v_r3 * (V_1 / V_2) = 6.588 *(8) = 52.7

v_r4 = 52.70 -----------> u_4 = 571.69 KJ/kg , T_4 = 774.5 K

Path 4 to 1 (constant volume Heat - Rejection):

q_out = (u_4 - u_1 )

q_out = 571.69 - 214.07

q_out = 357.62 KJ/kg

b) The net work output w_net,out

Analysis:

w_net, out = q_in - q_out

w_net, out = 750 - 357.62

w_net, out = 392.4 KJ/kg

Answer: The net work output w_net,out = 392.4KJ/kg

c) Thermal Efficiency n_th

Analysis:

n_th = w_net, out / q_in

n_th = 392.4 / 750

n_th = 0.523 ~ 52.3%

Answer: = Thermal Efficiency n_th = 52.3%

d) mean effective pressure for the cycle.

Use ideal gas Law at state 1:

v_1 = R*T_1 / P_1 = 0.287 * 300 / 95

v_1 = v_max= 0.906 m^3 /kg

v_min = v_max / r

mep = w_net,out / (v_1-v_2) = w_net,out / v_1*(1 - 1 / r)

mep = 392.4 / 0.906 * (1 - 1/8)

mep = 495.0 KPa

Answer: mean effective pressure for the cycle mep = 495.0 KPa

4 0
2 years ago
Many things can alter your heart rate including: exercise, diet, nutrition, sugar, and caffeine
Dmitry_Shevchenko [17]

Answer:

true

Explanation:

4 0
3 years ago
The propeller of an airplane is at rest when the pilot starts the engine; and its angular acceleration is a constant value. Two
Maurinko [17]

Answer:0.318 revolutions

Explanation:

Given

Initially Propeller is at rest i.e. \omega _0=0 rad/s

after t=10 s

\omega =10 rad/s

using \omega =\omega _0+\alpha t

10=0+\alpha \cdot 10

\alpha =1 rad/s^2

Revolutions turned in 2 s

\theta =\omega _0t+\frac{\alpha t^2}{2}

\theta =0+\frac{1\times 2^2}{2}

\theta =2 rad

To get revolution \frac{\theta }{2\pi }

=\frac{2}{2\pi}=0.318\ revolutions

3 0
3 years ago
Read 2 more answers
An automobile rounds a curve of radius 50.0 m on a flat road.
bixtya [17]

Answer:

14m/s

Explanation:

Given parameters:

Radius of the curve  = 50m

Centripetal acceleration  = 3.92m/s²

Unknown:

Speed needed to keep the car on the curve = ?

Solution:

The centripetal acceleration is the inwardly directly acceleration needed to keep a body along a curved path.

 It is given as;

      a = \frac{v^{2} }{r}  

a is the centripetal acceleration

v is the speed

r is the radius

  Now insert the parameters and find v;

         v²   = ar

        v² = 3.92 x 50  = 196

         v  = √196 = 14m/s

6 0
3 years ago
A 2100-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 5.00 m before coming into contact w
aliya0001 [1]

Answer:

   f = 878,080 N

Explanation:

mass of pile driver (m) = 2100 kg

distance of pile driver to steel beam (s) = 5 m

depth of steel driven (d) = 12 cm = 0.12 m

acceleration due to gravity (g0 = 9.8 m/s^{2}

calculate the average force exerted on the pile driver by the beam.

  • from work done = force x distance
  • work done = change in potential energy of the pile driver
  • equating the two equations above we have

               force x distance = m x g x (s - d)

              f x 0.12 = 2100 x 9.8 x (5- (-0.12))

              d = - 0.12 because the steel beam went down at we are taking its  

              initial position to be an origin point which is 0

              f = ( 2100 x 9.8 x (5- (-0.12)) ) ÷ 0.12

                   f = 878,080 N

4 0
3 years ago
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