An artery has a circular cross section of radius 4 millimete
An artery has a circular cross section of radius 4 millimeters. The speed at which blood flows along the artery fluctuates as the heart beats. The speed after t seconds is 30+2sin(2*pi*t) meters per second.
please include steps!
please include steps!
Solution
/period * Integral [t=0 to t= 1] of speed function will give you average speed of blood. The period is 1 second so its just the integral in this case With this value we are able to determine volume of blood that passes along in 1 second. We know a speed, we just need a cross sectional area and assume that this cross sectional area moves however much the average speed was times 1 second which is how long a period we are analyzing. A= pi r^2 A=13.4m Volume passed = Average Speed * Area