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
Write an expression to represent the perimeter of a triangle with the side lengths of 12, g-16, and 4g
kkurt [141]

Answer:

5g-14

Step-by-step explanation:

Perimeter=12+g-26+4g=5g-14

8 0
2 years ago
Read 2 more answers
Diego has purchased a $159,000 home with a 30-year mortgage at 5.05%. He can make a monthly payment of $1,300. If he were to mak
Gemiola [76]

Answer: 173 months MY GUY!

Step-by-step explanation:

3 0
3 years ago
Tkanks, but how you can use the distributive Property to find the numbet of books abouts animals in the bookstore.
Sedbober [7]
If you would tell me the whole problem I could answer it
3 0
3 years ago
Jerrilyn wrote the following argument to prove that
likoan [24]

Answer:

absolutely no idea if this is right but i put the first one

Step-by-step explanation:

5 0
3 years ago
Maranda is buying pencils and a writing pad for her adult writing class. The writing pad she wants costs $3.50, and each pencil
Kruka [31]
Hello!

3.50 + 0.15 = 3.65

Because both items would cost $3.50 together, Maranda will be eligible to buy them both and stay within her budget of $5.00.
3 0
3 years ago
Other questions:
  • Juan drove 126 miles in 3 hours. If he continued at the same rate, how long would it
    15·3 answers
  • David wants to rent a car for one day. She contacted two rental car companies. The first company charges $100 a day plus $1 a mi
    6·1 answer
  • While Michael is paid $1.00 for every subscription he sells, regardless of the number of calls he makes. Paul's telephoning is r
    6·1 answer
  • How many T-shirt’s did he sell?
    6·1 answer
  • 27 is 15% of what number
    12·1 answer
  • Please give me the correct answer.​
    5·2 answers
  • 1. You go to the local Sport Grill for quarter wings day.
    6·1 answer
  • Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
    9·1 answer
  • 3. How do you read -17?<br> -17 is negative
    11·2 answers
  • Mean absolute deviation of 290
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!