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heart pressure Sinusoidal Function

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by

satine israyelyan

on 19 June 2015

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Transcript of heart pressure Sinusoidal Function

Thank You!
Blood Pressure is the pressure of the blood within the arteries
The maximum heart pressure of the patient is 140mm HG,and the minimum heart pressure is 100 mm HG.The
heartbeat
is 50 beats per second
Sinusoidal Functions For A Blood Pressure
1)What is the period of one heartbeat in seconds?
2)What is the amplitude?
3)Determine the equation of a sine function
4)Graph the model for sine and cosine functoin
Let's get started
1)What is the period in seconds?

P= 50/60= 5/6 beat per second
2) What is the amplitude
p(t)max-P(t)min
------------------------
2
|a| =
|a| =
140-100
-----------
2
= 20
3)Determine the equation of a sine function
as P=5/6,
k = -----

p
= ------
12π
5
= 20sin ----- t+120
12π
5
P(t)
c =
120
vertical translation
4) Sketch the graph
100
120
140
5/6
p(t) max
p(t)min
.
.
5/12
P(t) mm HG
100
120
140
p(t) max
p(t)min
P(t) mm HG
-5/24
5/12

Each time our heart bets,the blood pressure reaches to its max. point called systolic. And when our heart rests ,the blood pressure drops to its min point called diastolic
Healthy persons blood pressure is 120/80 and the heartbeat is 60-90 beats per minute
, |a|=20
P(t)=20cos (12π/5)t+120
p(t)=20sin(12π/5)t+120
t (s)
t (s)
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