Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
The standard gasoline engine for the 2017 Toyota Corolla includes the following data: Configuration: In-line four-stroke, four-cylinder engine Bore: 3.17 in Stroke: 3.48 in Compression ratio: 10.6:1 Assuming an ideal Otto cycle to describe this engine. Consider the working fluid to be air, modeled as an ideal gas with variable specific heat. Determine: (a) The total engine volume VBDC for all cylinders (cu.in). (b) The mass of air (lbm) contained in the engine assuming ambient conditions of 540 R and 14.7 psia. (c) The efficiency of the engine (%). The maximum temperature that occurs during the cycle is 3600 R.
Answer:
a) The total engine volume is 30.3265 in³
b) the mass of air contained in the engine is 0.00129 lbm
c) The efficiency of the engine is 55.6%
Step-by-step explanation:
Given the data in the question;
The configuration is in line with four-stroke, four-cylinder engine.
Bore ( d ) = 3.17 in
Stroke ( L ) = 3.48 in
compression ratio ( r ) = 10.6 : 1
First, we calculate the swept Volume V₁ = π/4 × d²L
we substitute
V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³
Now, Compression Ration; r = Vs + Vc / Vc
r = (V₁ + V₂) / V₂
we substitute
10.6 = (27.4655 + V₂) / V₂
10.6V₂ = 27.4655 + V₂
10.6V₂ - V₂ = 27.4655
9.6V₂ = 27.4655
V₂ = 2.861 in³
So
a) total engine volume
[tex]V_{BDC[/tex] = V₁ + V₂
we substitute
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 30.3265 in³
Therefore, The total engine volume is 30.3265 in³
b) The mass of air
given that; T = 540°R, P = 14.7 psia
we know that; PV = mRT { R is constant }
we solve for m
m = PV / RT
we substitute
m = (14.7 × 30.3265) / ( 0.3704 × 1728 )540
m = 445.79955 / 345627.648
m = 0.00129 lbm
Therefore, the mass of air contained in the engine is 0.00129 lbm
c) The efficiency
from table { properties of air}
At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32
Now process 1 - 2 ( Isentropic ) u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = V₁/V₁ = r
so, u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r
144.32 / u[tex]_r[/tex]₂ = 10.6
u[tex]_r[/tex]₂ = 144.32/10.6
u[tex]_r[/tex]₂ = 13.61
Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R
Now, we know that;
P₁V₁/T₁ = P₂V₂/T₂ ⇒ (P₁/V₁)r = P₂/T₂
⇒ ( 14.7 / 540 )10.6 = P₂/1340
P₂ = 386.664 psia
process 2 - 3; constant volume heat addition;
Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449
so, [tex]q_{in[/tex] = u₃ - u₂
we substitute
so, [tex]q_{in[/tex] = 721.44 - 235 = 486.44 BTU/lbm
Next, process 3 - 4; Isentropic
u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r
u[tex]_r[/tex]₄ / 0.6449 = 10.6
u[tex]_r[/tex]₄ = 6.8359
At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm
∴
Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm
so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]
[tex]W_{net[/tex] = 486.44 - 215.96
[tex]W_{net[/tex] = 270.48 BTU/lbm
so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%
η[tex]_{thermal[/tex] = ( 270.48 / 486.44 ) × 100%
η[tex]_{thermal[/tex] = ( 0.55604 ) × 100%
η[tex]_{thermal[/tex] = 55.6%
Therefore, The efficiency of the engine is 55.6%
Find XS, VY, and YZ. I am very confused on what to do.
Answer:
Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all the way up to the U. I hope this helps!
What is the answer to this problem?
Answer:
[tex]r=\dfrac{2}{3}\ yards[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is, [tex]V=\dfrac{32}{81}\pi[/tex] cubic yards
We need to find the radius of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^2[/tex]
Put all the values,
[tex]\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards[/tex]
So, the radius of the sphere is equal to [tex]\dfrac{2}{3}\ yards[/tex].
a man diposited 80000 in a bank for 2 years at 10% per annum. after one year policy of bank change
Answer:
if you help me ill help you
Step-by-step explanation:
Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?
10 ft 8 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate pie
Answer:
10ft · (8ft) = 80 [tex]f^ {2} t^{2}[/tex]
3.14 = 80 [tex]f^{2} t^{2}[/tex]
Step-by-step explanation:
The first digits of data entries in most real-world data sets are not uniformly distributed. The most common first digit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is known as Benford's Law.
The table below is the probability distribution for Benford's Law where the random variable D represents the first digit in a data entry.
What is the probability that a randomly selected data entry has a first digit greater than 7?
According to the given data,
Probability of D1 = 0.301Probability of D2 = 0.176By adding the probabilities, we get
→ [tex]P (D \leq = 2) = 0.301+0.176[/tex]
[tex]= 0.477[/tex]
Thus the response above is appropriate.
Learn more about probability here:
https://brainly.com/question/16790640
Answer:
0.097
Step-by-step explanation:
1) "First digit greater than 7" means that the first digit is 8 or 9.
2) P(first digit greater than 7)=0.051+0.046=0.097
3) 0.097
Which expression is equivalent to 10x2 - (2 – 3x) + (5x - 3x2)?
Answer:
H) 7x² + 8x - 2
Step-by-step explanation:
I mean as how many minutes are there in 11 a.m
Answer: Hewo, there! your answer is Below
There are 60 mins In 11 a.m And every hour
Step-by-step explanation:
You can easily convert 1 hour into minutes using each unit definition:
Hour
hour = 60 min = 3600 s
Minutes
minute = 60 s = 60 s
Hope this helps you!!
Have a great day!!
Answer:
their are 60 minutes in 11 am
Sort these fractions in ascending order.
4/5
3/7
1/6
2/3
Answer:
1/6, 3/7, 2/3, 4/5
Step-by-step explanation:
In which quadrant does the point (-1, 24) lie?
OA.
Quadrant 1
OB. Quadrant II
OC. Quadrant IV
D. Quadrant III
Which group shows 0.25 of the faces smiling?
Answer:
My dude the groul that shows that tiny bit of smiling must be the beatles or backstreet boys
brendan has $200 in a saving account with a 1% interest rate. using the formula for simple interest, how much will he earn in interest after 7 years?
answer:
$14
step-by-step explanation:
the formula for simple interest is-
i=prt
meaning interest=principal (the starting amount of money) * rate * time
=200*0.01*7
(we have to turn 1% into a decimal so 1/100=0.01)
=14
i=14
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
After 7 years and a 1% interest rate, Brendan will have a total of 214$.
What is simple interest?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given, Brendan has $200 in a saving account with a 1% interest rate.
The simple interest is given as
Interest = (PRT/100)
where
P = Amount deposited = 2,00
R = Rate = 1%
T= Time = 7 years
Interest = (PRT/100)
Interest = (200 × 7 × 1/100)
Interest = 14
Total amount = SI + principal amount
Total amount = 14 + 200 = 214
Therefore, Brendan will have 214 $ after 7 years and a 1% interest rate.
Learn more about simple interests here:
https://brainly.com/question/29210957
#SPJ6
Solve for the letter d
Answer:
34 I am pretty sure
Step-by-step explanation:
34+55 well is 89 so yeah d=34
in which is the vaule of the 6 ten times the vaule of the 6 in the number 6000
Answer:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Step-by-step explanation:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Answer:
Hello! Your answer would be, 600
Step-by-step explanation:
if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
A movie complex is showing the same movie in three theaters. In theater A, 56 of the 80 seats are taken. In theater B, seats are taken and seats are empty. In theater C, of the seats are empty. Which theater has the greatest percent of its seats taken?
Also, I need this ASAP.
Answer:
Theatre A has the greatest percent
Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 102t +
1
2
t2 − t3, 0 ≤ t ≤ 8.
PLEASE HELP
will mark brainliest
These figures are congruent. What series of transformations moves
quadrilateral FGHI onto quadrilateral F'G'HT?
Note: Rotations are clockwise. Reflections are over the x-or y-axis.
A. Reflection, reflection
B. Rotation, translation
C. Translation, reflection
D. Reflection, rotation
Answer:
wait nvm I did the wrong answer lemme re check
Ok sorry I reviewed it and i think its D i looked to fast and got confused sorry
Answer:
Its C Translation,reflection
Step-by-step explanation:
I took the test and this was the right answer!!
College Math! Pls help
Answer:
right: 11.15
left: 17.15
Step-by-step explanation:
right formula: [tex]\int _a^bf\left(x\right)dx\:\approx \Delta \:x\left(f\left(x_1\right)+f\left(x_2\right)+...+f\left(x_n\right)\right)[/tex]
left formula: [tex]\int _a^bf\left(x\right)dx\:\approx \Delta \:x\left(f\left(x_0\right)+f\left(x_1\right)+...+f\left(x_{n-1}\right)\right),[/tex]
[tex]\Delta \:x\:=\:\frac{b-a}{n}[/tex]
estimating : [tex]\int _1^7\left(\frac{7}{x}\right)dx[/tex] , with n = 6 (number of sub-intervals in Riemann sum)
right: 1 [tex]\left(f\left(x_1\right)+f\left(x_2\right)+f\left(x_3\right)+f\left(x_4\right)+f\left(x_5\right)+f\left(x_6\right)\right)[/tex] =[tex]1\cdot \left(\frac{7}{2}+\frac{7}{3}+\frac{7}{4}+\frac{7}{5}+\frac{7}{6}+1\right)[/tex] = 11.5
left: [tex]1\cdot \left(f\left(x_0\right)+f\left(x_1\right)+f\left(x_2\right)+f\left(x_3\right)+f\left(x_4\right)+f\left(x_5\right)\right)[/tex] =
[tex]1\cdot \left(7+\frac{7}{2}+\frac{7}{3}+\frac{7}{4}+\frac{7}{5}+\frac{7}{6}\right)[/tex] = 17.15
if jose says that 75% of his class of 28 students rides the bus every day, how many students rides the bus?
Answer:
21 students ride the bus
if the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?
A) (9,11)
B) (9,12)
C) (9,15)
D) (9,18)
Answer:
C) (9,15)
Step-by-step explanation:
1) For each dot you go right 3 up 5 to get to the next dot.
2) right 3 up 5 from (6, 10) would be (9,15)
Answer:
C) (9,15)Step-by-step explanation:
For x- coordinate we have:
3, 6, x, 12 ⇒ x = 9For y-coordinate we have:
5, 10, y, 20 ⇒ y = 15Missing point is (9, 15)
Correct choice is C
Pls help me, it is so proooooooooooooooooooooo
Answer:
hi
Step-by-step explanation:
i think it is A
because
[tex] \frac{x}{3} + 10 = \frac{15}{3} + 10 = 5 + 10 = 15[/tex]
hope it helps
have a nice day
Answer:
answer is A and C
hope it helps
A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Answer:
First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.
This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!
Step-by-step explanation:
What is the area of the kite 10 12 12 18
How many 5/6 s are in 3?
Step-by-step explanation:
If we think over it, we could recognise that this question is like
How many 3's are in 6?
Probably the answer is
2
, as
6
÷
3
=
2
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Answer:
3/(5/6)
Step-by-step explanation:
multiply the numerator and denominator by 6
18/5
Question 3 of 10
When the input is x = 0 for the parent function f(x) = 2*, what is the output?
A. f(x) = 2
B. f(x) = 1
C. f(x) = 0
D. f(x) = 3
Let corn denote per capita consumption of corn in bushels at the county level, let price be the price per bushel of corn, let income denote per capita county income, and let rainf all be inches of rainfall during the last corn-growing season. The following simultaneous equations model imposes the equilibrium condition that supply equals demand:
corn = alpha1 price + beta1 income + mu1
corn = alpha2 price + beta2 rainfall + gamma rainfall2 + mu2
Which is the supply equation, and which is the demand equation? Explain.
Answer:
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply
Step-by-step explanation:
Given
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
Required
Identify the demand and the supply equation.
To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.
For (1):
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
We have: Price and Income
For (2):
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
We have: Price and Rainfall
In (1), price and income determines the demand of a product.
Hence, (1) represents the demand equation
In (2), price and weather condition (rainfall) determines the supply of a product.
Hence, (2) represents the supply equation.
How many bananas are there in B ?
Answer:
there are 35 bananas in B
Step-by-step explanation:
There are 16 bana
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
Answer:
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
QUICK ITS TIMED WILL GIVE BRAINLYIST
Which measurements are in the correct order from largest to smallest?
A. quart, pint, cup, fluid ounce
B. gallon, quart, cup, pint
C. gallon, pint, quart, cup
D. gallon, cup, fluid ounce, quart