Answer:
31.831 Hz.
Explanation:
<u>Given:</u>
The vertical displacement of a wave is given in generalized form as

<em>where</em>,
- A = amplitude of the displacement of the wave.
- k = wave number of the wave =

= wavelength of the wave.- x = horizontal displacement of the wave.
= angular frequency of the wave =
.- f = frequency of the wave.
- t = time at which the displacement is calculated.
On comparing the generalized equation with the given equation of the displacement of the wave, we get,

therefore,

It is the required frequency of the wave.
<span>spontaneity is the answer, hope this helps!!</span>
Answer: 
Explanation:
Given
Initial angular speed is 
Final angular speed is 
Time period 
Magnitude of the fan's acceleration is given by

Insert the values

Thus, fan angular acceleration is 
The matter is a collection or composition of extremely small particles called "Atoms".
<u>Explanation</u>:
- The matter is anything that has mass and which utilizes space by having volume.
- Modern scientists describe the makeup of matter as a collection of tiny substances called atoms.
- Matter can either be in solid, liquid, or gaseous state and even appear in plasma form.
- Matter can neither be created nor be destroyed but only transferred from one form to the other.
- Atoms are composed protons, neutrons and electrons. The protons and neutrons are contained in the nucleus, while the electrons orbit around the nucleus of the atom.
- Protons are positively charged, neutrons are neutral and electrons are negative.
Relative to the positive horizontal axis, rope 1 makes an angle of 90 + 20 = 110 degrees, while rope 2 makes an angle of 90 - 30 = 60 degrees.
By Newton's second law,
- the net horizontal force acting on the beam is

where
are the magnitudes of the tensions in ropes 1 and 2, respectively;
- the net vertical force acting on the beam is

where
and
.
Eliminating
, we have





Solve for
.


