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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

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Answer:

63.7 feet

Step-by-step explanation:

We can re-write the width and the length both as rational numbers:

- Width: w=6.5=\frac{65}{10}

- Length: L=9.8=\frac{98}{10}

So now we can find the area of the garden by multiplying width and length:

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3 years ago
Which expression is equivalent to x2 - 8x + 15​
Valentin [98]
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2 years ago
PLEASE HELP, MATH, PLEASE<br>Solve for n: n+5/16 = -1​
Anit [1.1K]

\tt Step-by-step~explanation:

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

\tt Steps:

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}

\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }

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HELP me.a man weighs 5/6 of his weight plus 30 pounds.what is his weight.
san4es73 [151]
X=the weight of this man
We can suggest this equation:
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Answer; his weight is 180 pounds.
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