# HW5_ENED1091_SP2017 - Homework#5 ENED 1091 HW#5 Due Friday...

• 10
• 100% (2) 2 out of 2 people found this document helpful

This preview shows page 1 - 3 out of 10 pages.

Homework #5ENED 1091 HW#5 Due Friday, March 3, 2017 at 5:00pmProblem 1: The figure below shows measurements of the flow rate (gal/s) of fluid into a tank taken every 30 seconds.The volume of fluid in the tank is simply the initial volume plus the integral of the flow rate (assuming no outflow from the tank):(a)Assume the initial volume is 100 gallons. Using the flow rate measurements, estimate the volume at 120 seconds using the Right Riemann Sum estimate for the integral.
(b) Repeat part (a), again assuming an initial volume of 100 gallons, using the Trapezoid Sum estimate for the integral.
1
Homework #5Problem 2: The table below shows acceleration measurements (m/s2) for a falling body taken every 0.05 seconds. Time (s)00.050.10.15Acceleration (m/s2)-9.8-9.7-9.5-9.2Velocity Estimates (m/s)0-.4875-.9675-1.435Height Estimates (m)10099.9999.9599.89(a)Assuming an initial velocity of 0 m/s, estimate the velocity every 0.05 seconds using the Trapezoid Sum to estimate the integral of acceleration. Enter results in the table and show your calculation for the velocity at 0.05 and 0.1 seconds below.
(b) Assuming an initial height of 100 m, estimate the height of the object every 0.05 seconds using the Trapezoid Sum to estimate the integral of velocity. Enter results in the table and show your calculation for the height at 0.05 and 0.1 seconds below.