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
denpristay [2]
3 years ago
13

Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by

Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

Step-by-step explanation:

T=2\pi\sqrt{\frac{l}{g}}

T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

So, \Delta T=T\frac{1}{2}\frac{\Delta l}{l}

b. For an increase of 2%, that is:

\frac{\Delta l}{l}=0.02

\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%

mel-nik [20]3 years ago
4 0

Answer:

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

-God Bless

You might be interested in
What's the average of 19 from 45
Naya [18.7K]
The average can be calclculated as follows:
average = sum of number/number of numbers
average = (19+45) / 2 = 64/2 = 32
4 0
3 years ago
Read 2 more answers
⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️​
Naddika [18.5K]
The second one should be the answer
7 0
3 years ago
Read 2 more answers
Linette buys a bracelet for $13.50 plus a 7% tax. Sheila buys a bracelet for $12 plus a 7% tax. What is the sum, in dollars, tha
Zinaida [17]

Answer:

Linette paide $14.45 and Sheila paid $12.84 in total that is $27.29.

Step-by-step explanation:

5 0
2 years ago
I really need help! Brainliest awarded to correct answer <br> :))
marta [7]

Answer:

5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the unit price for 8 ounces cough syrup @$1.36 a bottle
RSB [31]
Just divide 1.36 by 8
0.17
4 0
2 years ago
Read 2 more answers
Other questions:
  • How to find the middle of the circle given a point on the circle?
    7·1 answer
  • Juan rolls a 6-sided number cube 4 times. The result is 2. Which best describes the events?
    15·1 answer
  • Please help i’m so stuck i can’t do calc for the life of me
    6·1 answer
  • Guide Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number
    15·1 answer
  • Solve this equation with substitution method :-<br> x+5 = 3 (y+5)<br> x-5 = 7 (y-5)
    8·1 answer
  • If 1/2x+1/3=4 What is the value of 3x+2y
    13·2 answers
  • X=2y - 15<br> y= -2x<br> x=2(-2x) - 15<br><br> what’s x?
    9·2 answers
  • The circumference of a circle is 53.38 centimeters.
    14·1 answer
  • 2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
    13·1 answer
  • What are the first 5 terms of an arithmetic sequence with a common difference of – 0.4 and the first term of 0.7?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!