10 pts The pressure P in Jbsft2 in a pipe varies over time F

(10 pts) The pressure P (in Jbs/ft2), in a pipe varies over time. Five times an hour or every 12 minutes, the pressure oscillates from a low of 90 to a high of 230 and then back to a low of 90. The pressure at t = 0 is 90. 8. Graph one complete cycle of P = f(t), where t is the time in minutes. Label your axes. b. Find the formula for P = f(t) Formula:

Solution

Period = 12 min
Min = 90
Max = 230

A= (max - min)/2
A= 70

D = (max + min)/2
D = 160

At t = 0, we start at the LOw
So, negative cos

B = 2pi/period
B = 2pi/12
B = pi/6

So, y = -70cos(pi*t/6) + 160 ----> ANS