Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
Solve for y.
24=8/3y
Simplify your answer as much as possible.
I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9
if the question is 24=8/3(y) then the answer is y=9
Answer:
24 = [tex]\frac{8}{3}[/tex] y
[tex]\frac{8}{3}[/tex] = 2.6 repeating
24 ÷ 2.6 repeating = 9
Step-by-step explanation:
4/-7 + -6/5
In simplest form
See attachment for math work and answer.
The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?
Answer:
Step-by-step explanation:
(1/3+2/5) divided by 1/30 = 22
22 trips
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *
I'll give brainliest if you just tell me multiply, divide, subtract, or add.
Answer: subtract
Step-by-step explanation:
Answer:
I think subtract
Step-by-step explanation:
subtract
Please help me with this problem and explain
Answer: 29
It is very simple, just substitute.
x = 9, y = 10
Replace the x and y in the expression to that.
You get: 9 + 10 + 10. Just add and you will get 29.
Answer:
9+10+10=29
Step-by-step explanation:
We know that x=9, so where ever we see x we know it is 9. We also know that y=10, so where ever we see y we know it is 10. So then we just replace the variables with our numbers then just add them. That is I got 9+10+10=29
Hope this helps!
What is 45 percent of 37?
Answer:
16.65
Step-by-step explanation:
Answer:
16.65
Step-by-step explanation:
0.45 multiplied by 37 = 16.65
(0.45 is equalivent to 45%)
Hope I helped :)
Please consider Brainliest :)
an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle
Answer:
The angle would be 123°.
Is Mr. Martin a hero? xplain why or why not.
Answer:
mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)
Step-by-step explanation:
solve this equation
6x+13=9x-8
Step-by-step explanation:
Hey there!
Given;
6x + 13 = 9x - 8
Shift "6x" to right side and "-8" to left side and simplify it to get answer.
13+8 = 9x-6x
21 = 3x
x= 21/3
Therefore, x= 7.
Hope it helps...
The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term of the sequence.
Answer:
a₁ = -1Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]
If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
The 8th term of the arithmetic sequence is 20
[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]
The 20th term of the arithmetic sequence is 56
[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]
Subtract equation (1) from equation (2)
12d = 36
d = 36/12
d = 3
Substitute d = 3 into equation (1)
a + 7d = 20
a + 7(3) = 20
a + 21 = 20
a = 20 - 21
a = -1
The first term of the arithmetic sequence is -1
Learn more here: https://brainly.com/question/18417771
Please HELP!!!!!!!!!!!!!!!!
Answer:
sum = (180)(20) = 3600
Step-by-step explanation:
First...
(n-2)180˚ = Sum Of Interior Angles or SOIA
So...
(22-2)180 = SOIA
Then...
20*180 = SOIA
Finally...
3600 = SOIA
What is the next fraction in this sequence? Simplify your answer. 3/20 , 3 /10 , 9 /20, 3/ 5 , ___ .
Answer:
the next fraction is 3/4
Answer:
3/4
Step-by-step explanation:
The sequence is added on 3/20.
If you don't simplify 3/5 you get 12/20 add 3/20 to get 15/20.
Then simplify to get 3/4.
Which is grater 1/2 2/3 1/4 5/6
Answer:
5/6 is the greatest, it is closer to a whole number
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
1/2 is only half
2/3 is very close
1/4 is not close at all
5/6 is the best answer
You have 23.8 feet of string that you need to cut into 3.4 feet sections. How many sections of
string will you be able to make?
Answer:
7
Step-by-step explanation:
[tex]23.8 \div 3.4 = 7[/tex]
Write 30/45 in simplest form
Answer:
[tex] \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)[/tex]
2/3 is the correct answer.....Thank you ☺️
Answer: 2/3
Step-by-step explanation: divide 30 and 45 by 15
Solve the following equation. -10=-14v+14v
Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)
Answer:
y = 1/-2x + 0 or y = 1/-2x
Step-by-step explanation:
How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?
Answer:
5 seconds
Step-by-step explanation:
First let's use the equation.
D (Distance) = Speed (s) x Time (t)
Now let's find the components given in the problem.
Distance = 10 meters
Speed = 2 m/s
Now let's substitute the values in.
10 = 2t
Now let's solve for t.
10 = 2t
t = [tex]\frac{10}{2}[/tex]
t = 5
Therefore, it will take 5 seconds.
Hope this helped! If not, please let me know! <3
plss explain 30 points
Answer:
The height increases as the ferris wheel goes up.
Step-by-step explanation:
Answer:
The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown
Step-by-step explanation:
Brittany graphs the point (6,3) on a coordinate grid, which describes where she should plot the point of she starts at the origin?
A) 6 units to the left and 3 units up
B) 6 units up and 3 units to the left
C) 6 units to the right and 3 units up
D) 6 units up and 3 units to the right
Answer:
C
Step-by-step explanation:
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.
Answer:
The overall change is 116points gained
Step-by-step explanation:
Points gained = 12points
Points lost = 114points
Points gained = 218points
Unknown:
Overall change in its value = ?
Solution:
The overall change = Total points gained - Total points lost
= (218 + 12) - 114
= 116points
The overall change is 116points gained
Answer:
its 116
Step-by-step explanation:
12 - 114
-102 + 218 = 116
1572 divide 0.3 you must show all workings
Answer:
5240
Step-by-step explanation:
Use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
The answer would be C.
Answer:
c
Step-by-step explanation:
can any one help me plz
23.79 divided by 3 estimate
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
4 more then a number squared? expression form
Answer:
4 + x²
Step-by-step explanation:
Given problem:
4 more then a number squared
Problem:
Give the expression form;
Solution:
Let the number x;
So;
4 more than x squared:
4 + x²
A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.
Answer:
Step-by-step explanation:
It drops 235 feet per move.
235 * 4 = 1140 feet below sea level.
-1140 is also possible.
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name