Suppose that liquid is to be cleared of sediment by allowingit to drain through a conical filter that is 16 cm high and hasa radius of 4 cm at the top. Suppose also that the liquidis forced out of the cone at a constant rate of 2 cm/min.Find a formula that expresses the rate at which the depthof the liquid is changing with time. What is the rate ofdepth change if the liquid reached to 8 cm height frombottom of the funnel.4 cmFilter16 cmFunnel tohold filter

Answered: Image /qna-images/answer/d682208b-64e0-4953-ade3-338a34727aab.jpg

Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 16 cm high and has a radius of 4 cm at the top. Suppose also that the liquid is forced out of the cone at a constant rate of 2 cm³/min. 4 cm Filter 16 cm Find a formula that expresses the rate at which the depth of the liquid is changing with time. What is the rate of depth change if the liquid reached to 8 cm height from bottom of the funnel. Funnel to hold filter

Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 16 cm high and has a radius of 4 cm at the top. Suppose also that the liquid is forced out of the cone at a constant rate of 2 cm³/min. 4 cm Filter 16 cm Find a formula that expresses the rate at which the depth of the liquid is changing with time. What is the rate of depth change if the liquid reached to 8 cm height from bottom of the funnel. Funnel to hold filter

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

PROBLEM 2 . A tank is in the shape of a frustum of a pyramid having a square section .The upper base is 3 m x 3m and the lower base is 1.5 m x 1.5 m with a height of 3 m .. Assume the tank to be initially full of water and use coefficient of fluctuation equal to 0.6 . Determine the time required to lower down the water surface 2 m through a 10 cm by 10 cm square orifice located at the bottom .
A well is constructed to pump water from a confined aquifer. Two observation wells, MW1 and MW2, are constructed at distances of 10 m and 100 m, respectively. Water is pumped from the pumping well at a rate of 0.8 m³/min. At steady state, drawdown is observed as 5 m in MW2 and 19 m in MW1. Note that drawdown is greater for well MW1 located closest to the pumping well. Determine the Transmissivity (cm²/s) if the aquifer is 40 m thick. (Please enter your answers with 2 decimals)
Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservoirs is 5 m, the ratio of discharge in the larger diameter pipe to the discharge in the smaller diameter pipe is (Round off to two decimal places) (Consider only loss due to friction and neglect all other losses. Assume the friction factor to be the same for both the pipes) ! Reservoir 5 m 20 cm 10 cm ļ Reservoir
Two pumps whose characteristics are given in Sample Prob. 15.13 are to be used in parallel. They must develop a head h = 35 + 20Q2 as in the sample problem. (a) What is the flow rate with both pumps operating at 1800 rpm? (b) The speed of one of the pumps is reduced until it no longer delivers water. At approximately what speed will this happen? Sample Prob. 15.13: The two pumps (n = 1800 rpm) each have the following characteristics: h, ft: 100 90 80 60 40 20 Q, gpm: 0 110 180 250 300 340
Determine the radius of the orifice that will allow a tank of horizontal cross-section of 2.5 m^2 to have its liquid surface draw down at the rate of 0.2 m/s for a constant head of 4m on the orifice with Cc= 0.66 and Cv= 0.96
Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservoirs is 5 m, the ratio of discharge in the larger diameter pipe to the discharge in the smaller diameter pipe is (Round off to two decimal places) (Consider only loss due to friction and neglect all other losses. Assume the friction factor to be the same for both the pipes) ! Reservoir 5 m 20 cm 10 cm ļ Reservoir
A well with a diameter of 1 (m) pumps at a steady rate of 500 (m3/day) from a confined aquifer. An observation well A is located 100 (m) away from the pumping well and has a hydraulic head of 200 (m). What is transmissivity(T = K*b)?
in figure below , a flow net is showing underneath a reinforced concrete dam .the permeability (k ) of the soil underneath the dam is 5*10 " m/s. Find the flowing: |a-the rate of seepage in m’/s if the dam is 350 m in length. b-the volume in (m3) of water loss underneath the dam in one year . the pore water pressure (u) at location A ,B ,C, D. -7 15 m A 30 m 18 m 12 m 10m
Water discharging into a 6 m wide rectangular horizontal channel from a sluice gate is observed to have undergone a hydraulic jump. If the flow depth and velocity before the jump are 0.5 m and 8 m/s, respectively, then which of the following statements is/are true? A Flow depth after the jump is 2.31 m. B Hydraulic jump formed is a weak jump. C Efficiency of jump is 65.6%. D Relative energy loss is 0.824.
An earth dam is shown in the figure below. Determine the seepage rate. Given: a1=48 degrees, a2= 30 degrees, L1=6m, H 17m, H1=21m and k=0.007 cm/s. Use L.Casagrande Method
Group B: 50-cm well penetrating a confined aquifer is pumped at a rate of a 0.035 m^3/s. The drawdown at an observation well at a radial distance of 100 m is as follows: Calculate the aquifer parameters S and T using Jacob method? T (hr) s(m) 3.5 4 0.3 0.5 1.5 2 3 7 10 30 70 90 100 170 200 250 0.08 0.10 0.25 0.30 0.34 0.37 0.41 0.50 0.55 0.75 0.88 0.93 0.95 1.04 1.08 1.13
A vertical cylindrical tank, 2 m diameter has, at the bottom, a 5 cm diameter, sharp-edged orifice, for which C_{d} = 0.6 Water enters the tank at a constant rate of 9 l/sec. At what depth above the orifice will the level in the tank become steady?