Precalc
point) The pressure P (in pounds per square foot), in a pipe varies over time. Four times an hour, the pressure oscillates from a low of 40 to a high of 300 and then back to a low of 40. The pressure at time t = 0 is 40. Let the function P = f(t) denote the pressure in pipe at time t minutes.
Find a possible formula for the function P = f(t) described above.
asked by
Joe

mean = 340/2 = 170
amplitude = 300170 = 130
min at t = 0 so
y = 170  130 cos(w t) which is 40 at t = 0
what is w?
when t = 15 min , w t = 2 pi
so
w 15 = 2 pi
w = (2/15) pi
so
y = 170  130 cos(2 pi t/15)posted by Damon
Respond to this Question
Similar Questions

Math
The pressure, P (in lbs/ft2), in a pipe varies over time. Three times an hour, the pressure oscillates from a low of 88 to a high of 254 and then back to a low of 88. The pressure at t=0 is 88. Find a possible cosine formula for 
algebra please help
In certain parts of the ocean the pressure of sea water, in pounds per square foot, at a depth of "d" feet below the surface, is given by P=13+ 4d/9 If a scientific team uses special equipment to measure the pressure under water 
word problems
In certain deep parts of oceans, the pressure of sea water, in pounds per square foot, at a depth of d feet below the surface, is given by P=16+7d/11 If a scientific team uses special equipment to measures the pressure under water 
Algebra 2
The strength of a beam varies inversely with the square of its length. If a 15foot beam can support 500 pounds, how many pounds can a 20foot beam support? A) 261.15 B)279.33 C)281.25 D)732.50 
physics
Water is flowing in a pipe with a circular crosssection area ,and at all point the water completely fills the pipe.At point 1 ,the cross sectiona are of pipe is 0.070 meter square and the fluid velocity is 3.50 meter per second. 
algebra
The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 20 cubic feet at a temperature of 350K and a pressure of 35 pounds per square inch, what is the volume of 
Calculus
Air expands adiabatically in accordance with the law PV^1.4=Const. If at a given time the volume is 14 cubic feet and the pressure is 40 pounds per square inch, at what rate is the pressure changing when the volume is decreasing 1 
structure / physic
1. Aquarium (Retaining Buttresses) Background: In a liquid, pressure develops from the weight of the liquid above any point. That pressure is called Hydrostatic pressure and acts equally in all directions. The pressure at any 
Math
Pipes A & B can fill a storage tank in 8hours and 12 hours, respectively . With the tank empty ,pipe A was turned on at noon, and then pipe B was turned on at 1:30 P.M.At what time was the tank full. Please help me!! Let V be the 
Algebra help?? Stuck!
The equation y=−0.065x2+6.875x+6200 models the amount y of sugar (in pounds per square foot) produced where x is the amount of fertilizer (in pounds per square foot) used. What is the best approximate for the amount of sugar