A 4 stroke over-square single cylinder engine with an over square ratio of 1.1,the displacement volume of the engine is 245cc .T
1 answer:
Answer:
10.007
Explanation:
Assuming we have to find out the compression ratio of the engine
Given information
Cubic capacity of the engine, V = 245 cc
Clearance volume, V_c = 27.2 cc
over square-ratio = 1.1
thus,
D/L = 1.1
where,
D is the bore
L is the stroke
Now,
Volume of the engine V =
plugging values we get
245 =
Solving we get D =7 cm
therefore, L= 7/1.1 =6.36 cm
Now,
the compression ratio is given as:
r =(V+V_c)/V_c
on substituting the values, we get
r = (245+27.2)/27.2 =10.007
Hence, Compression ratio = 10.007
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Primero comencemos definiendo la variable aleatoria. Para nuestro problema, la variable aleatoria es la siguiente :
'' El tiempo (en horas) hasta que falle un sistema informático ''
La variable aleatoria será entonces una variable aleatoria continua.
Sabemos que sigue una distribución exponencial con una media de 600 hs.
Esto se escribe :
~ ε ( λ ) (I)
En donde λ es igual a la inversa de la media. Esto se escribe :
λ
En donde es la media de la variable. Por ende, si reemplazamos los datos del ejercicio obtenemos ⇒
λ ⇒ λ
Si reemplazamos el valor de λ en (I) obtenemos :
~ ε
La función de distribución de (por ser una variable aleatoria exponencial) es :
1 - e ^ ( - λx) con x > 0 y
en caso contrario.
Si reemplazamos el valor de λ en la función de distribución de obtenemos :
Dado que la variable aleatoria se distribuye de manera exponencial, el hecho de saber que el sistema ha estado funcionando sin fallas durante 400 hs no nos aporta ninguna información sobre lo que ocurrirá después. Esta característica se conoce como propiedad de perdida de memoria de la variable aleatoria exponencial. Entonces, la probabilidad pedida se reduce a calcular :
Dado que saber que el sistema ha estado funcionando sin fallas durante 400 hs no nos dice nada sobre lo que ocurrirá instantes posteriores a esas 400 hs.
Calculamos entonces la probabilidad pedida :