1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
1 year ago
13

show that the torsion of the helix is what is the largest value can have for a given value of a? give reasons for your answer.

Mathematics
1 answer:
Semmy [17]1 year ago
3 0

The largest value τ can have for a given value of a = 1/2\left| a \right|. Where the said value is described as τmax.

<h3>What is the reason for the above answer?</h3>

To arrive at the above conclusion, let:

r(t) = (a cos t) i + (a sin t)j + btk, a, b ≥ 0

⇒ τ = b/(a² + b²)

Given the value of τ above, we have to find τmax for given values of a, so that a is constant.

Hence:

dτ/db = [(a² + b²) * 1 - b (2b)]/ (a² + b²)² = 0

a² + b² - 2b² = 0

a² + b² = 0

a² - b² = 0

a² = b²

Hence, τmax = b/a² + b² = \left| a \right|/2a²

= 1/ 2\left| a \right|

Thus, τmax = 1/2\left| a \right|

Learn more about Torsion:
brainly.com/question/7599357
#SPJ4

Full Question:

Show That The Torsion Of The Helix

r(T) = (A Cos t)Ii + (A Sin T) J + Btk, A, B ≥ 0

Is τ = B/(A2 + B2).

What Is The Largest Value τ can have for a given value of a?

You might be interested in
Which two consecutive whole numbers does StartRoot 39 EndRoot lie between? Why?
Arlecino [84]

. The answer is 21.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help meeeeee with this
aleksandrvk [35]
Alright, let's do all of these (though this is a bit long).
1.
The constant is 1.8. All other values are coefficients to variables, which as the name implies will change.
2.
1 hour is 60 minutes, 1 minute is 60 seconds.
So, 4.2 *60 *60 = 15120 seconds.
3.
<span>−5x−4(x−6)=−3-5x-4(x-6)=-3
Let's move all x to one side, and all other numbers to another.
-5x-4(x-6)=-3-5x-4(x-6)=-3
x can be any value you want, if you actually solve this you'll only end up with -3 = -3, which is correct, of course.
Let me show you:
</span><span>−5x−4(x−6)=−3-5x-4(x-6)=-3
+5x +4(x-6)        +5x +4(x-6)
-3 = -3
The value of x is irrelevant, then. X can be any real number.
4.
I'm going to assume it was an error in printing with this? If not please correct me.
m=a+2b(or b2)
subtract 2b from each
a=m-2b
(This question seems kind of odd. We should probably address this in the comments.)
5.
</span><span>5(x−2)<−3x+6
Move all x to one side, numbers to other.
5x-10<-3x+6
+3x     +3x
    +10      +10
8x<16
/8
<span>x < 2
</span>6.
y-3=3(x-5)
alright, to find zeros set one variable to zero and solve
x first
-3=3x-15
+15    +15
3x=12
/3
x=4
x-int is (4,0)
now y
</span>y-3=3(0-5)
y-3=-15
+3     +3
y=-12
so y-int is (0,-12)
i've got to sleep now so i'll do the rest tomorrow. Sorry for the incomplete answer.

8 0
3 years ago
One-Half the difference of a number and 15
slega [8]

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

If this is confusing, I can explain further. :D

5 0
3 years ago
Read 2 more answers
Find the ordered pair for the equation: y = 2x + 10 where x = 3
pogonyaev
IT IS 15 BECAUSE YOU HAVE TO ADD IT UP

8 0
3 years ago
Read 2 more answers
Whats 8 8 8 in multiplication sentence
mixas84 [53]
It would be 8×8×8, you just add the multiplication sign
6 0
3 years ago
Other questions:
  • How would I find a given triangle where: A=0.1, B=1 and c=9? Thanks in advance.
    5·1 answer
  • Match the expressions given in words with their values when m = 6. 42 3 21 15 2 the difference of the product of 3 and m minus t
    8·1 answer
  • Can someone please help me with this?
    10·1 answer
  • Find 51* 49 USING MENTAL MATH'
    12·2 answers
  • What is the equation of the line whose y-intercept is 3 and slope is 1? y = x - 3 y = x 3 y = 3x 1
    9·2 answers
  • ¿Cuál de los siguientes números es un multiplo de 24?
    14·1 answer
  • ∠A and ∠B are supplementary angles. If m∠A=(2x+26)∘ and m∠B=(x+25)∘, then find the measure of ∠B. [ 50 POINTS]
    12·1 answer
  • How to turn 40/3 into mixed fraction please give correct abs for brainliest..
    9·1 answer
  • Can someone help me?<br><br><br>2x-3y= -1 <br>y=x-1<br><br>​
    6·1 answer
  • Please help! I'll give 50 points!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!