Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.7t0.8-2.9t+20,with t≥0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? What is therate of mass change at (c) t = 2.0 s and (d) t = 5.5 s?

Answered: Image /qna-images/answer/d532bcef-459c-4351-bf15-acfcb03120e5.jpg

Answered: Water is poured into a container that…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt +C e−Dt, where y is given in m, and t is the time in s. At t = 0, y(0) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.02 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.55 m/s. Hint: You will likely want to answer the questions in a different order than presented. I am trying to figure this qeustion out, I need to find out what each of the variables in the fromula are. So far I have only found out what B is because I just toook the limit of the velocity function as t approaches zero, which gave me 0.55m/s. I am just stuck on how I would go about solving for the other variables in the question.
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The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if h1= 0.7 m, h2= 0.6 m, and h3= 0.8 m. Take the densities of water, oil, and mercury to be 1000 kg/m3, 850 kg/m3, and 13,600 kg/m³, respectively. Oil Air Water h Mercury The gage pressure of air in the tank is 49.8 kPa.

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