If the rise and fall of your lungs is considered to be simple harmonic motion, how would you relate the period of the motion to
1 answer:
Answer:
Breaths per minute is a frequency. The period is its reciprocal.
Explanation:
In simple harmonic motion, a period (T) is the time taken for one point to start in a position and reach that position again, in other words to complete a cycle or lapse. In this case, a period is the time one takes from starting to inspire the air to releasing all of it from the lungs.
In simple harmonic motion, the frequency (f) is how many times a point completes a cycle or lapse in one unity of time (could be one second, one minute, one hour, etc). In this case, the frequency is how many times one breathes in one minute. This is the breathing rate, since it is breathings per minute. Breaths per minute is a frequency.
Period (T) and frequency (f) relate to each other in the following formulae: or
.
Therefore, breaths per minute is a frequency, and since it is related to the period, we say the period is reciprocal to it.
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Answer:
1.65 m
Explanation:
Energy from spring, is given by
where k is spring constant and x is the compression distance
Kinetic energy, KE at the highest point is given by
where m is mass and v is velocity
KE=0.5*0.0227*2.27= 0.058485 J
Potential energy, PE of spring is given by
PE=mgh where g is gravitational constant and h is maximum height reached by the mouse
PE=0.0227*9.81= 0.222687h
According to the principle of conservation of energy, the potential energy of the compressed spring is equal to the potential and kinetic energy of the mouse at the maximum high point.
0.425=0.222687h+0.058485
h=(0.425-0.058485)/ 0.222687=1.646671 m
h=1.65 m
We use the formula,
Given, and
.
Substituting these values, we get
.
As Jupiter were a perfect sphere, therefore the volume of sphere is given by
Here, r is the radius of sphere.
Substituting the value of volume we get
.
The diameter is twice of radius, thus the diameter of Jupiter would be