Find, to the nearest tenth of a second, the period of a pendulum of length 3.5 f

amanf 2021-10-01 Answered
Find, to the nearest tenth of a second, the period of a pendulum of length 3.5 feet.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Asma Vang
Answered 2021-10-02 Author has 14899 answers
Given:
To calculated period of pendulums of the given lengths are 2 feet, 3 feet and 4,5 feet.
Coefficient of friction is 0.4
Formula: \(\displaystyle{T}={2}\pi\sqrt{{{\frac{{{L}}}{{{32}}}}}}\)
where L is the length of period of the pendulum.
Calculating the period of pendulum of length 2 feet :
\(\displaystyle{T}={2}{\left({3.14}\right)}\sqrt{{{\frac{{{2}}}{{{32}}}}}}\)
\(\displaystyle={2}{\left({3.14}\right)}\sqrt{{{0.0625}}}\)
Taking square root, \(\displaystyle{T}={2}{\left({3.14}\right)}{\left({0.25}\right)}\)
\(\displaystyle={1.57}\)
\(\displaystyle={1.6}\) seconds
Calculating period of pendulum of length 3 feet.
\(\displaystyle{T}={2}{\left({3.14}\right)}\sqrt{{{\frac{{{3}}}{{{32}}}}}}\)
\(\displaystyle={2}{\left({3.14}\right)}{\left({0.31}\right)}\)
\(\displaystyle={1.9468}\)
\(\displaystyle={1.9}\) seconds
Calculating period of pendulum of length 4.5 feet:
\(\displaystyle{t}={2}{\left({3.14}\right)}\sqrt{{{\frac{{{4.5}}}{{{3.2}}}}}}\)
\(\displaystyle={2}{\left({3.14}\right)}\sqrt{{{0.140625}}}\)
\(\displaystyle={2}{\left({3.14}\right)}{\left({0.375}\right)}\)
\(\displaystyle={2.355}\)
\(\displaystyle={2.4}\) seconds
Therefore, the periods of pendulum of lengths 2 feet, 3 feet, 4.5 feet are 1.6 seconds, 1.9 seconds, and 2.4 seconds respectively.
Have a similar question?
Ask An Expert
31
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-12
To find:
The period of a pendulum 3.5 ft long using \(\displaystyle{t}={2}\pi\sqrt{{{\frac{{{L}}}{{{32}}}}}}\).
asked 2021-06-24
Marilda has a block of modeling clay that is 8 inches by 5 inches by 3 inches. She is experimenting with different shapes that can be made from the clay. Give your answers to the nearest tenth. Suppose Marilda wants to make a square pyramid with a 6 by 6 in. base. How tall would it be?
asked 2021-06-02
Find the angle between the given vectors . Round to the nearest tenth of a degree.
1) u= -3i +6j ,v=5i + 2j
2) u= i -j , v=2i +3j
Use the dot product to determiine wheter the vectors are parallel, orthogonal , or neither .
1) v = 2i +j, w = i-2j
2) v = 4i-j , w=8i-2j
3) v= 3i +3j , w=3i -2j
Find proj w v
1) v = 2i +3j . w = 8i- 6j
2) v= 2i -3j . w =-3i +j
asked 2021-10-21

If
\(0.3^x=ab, \log b=0.4\), what is the value of x to the nearest tenth

asked 2021-10-02
Find the distance between the pair of points (3.5, 8.2) and (-0.5, 6.2). If necessary, express answers in simplified radical form and then round to two decimals places.
asked 2021-09-23

For the exponential fuction \(\displaystyle{f{{\left({x}\right)}}}={10}^{{x}}\), find \(\displaystyle f{{\left(\frac{3}{{2}}\right)}}\)
\(\displaystyle f{{\left(\frac{3}{{2}}\right)}}=?\)
Type an exact answer, using radicals as needed.

asked 2021-11-18
Find each measurement indicated. Round your answers to the nearest tenth.
Find BC
...