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Find the angular velocity and angular acceleration needed to keep the prisoner in the beam of the spot light at the moment when the prisoner is 4000 ft away from the spot light.
The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. if the allowable shear stress in the pipe is 2 ksi, what portion of the tube needs to be reinforced
The suppliers says it would prefer to sell the company a 65% NaOH solution and the company says the water content is immaterial as long as the equivalent costs are the same including freight.
Peg P is driven by the fork link OA along the curved path described by r = (2*theta) ft. At the instant theta = pi / 4, the angular velocity and angular acceleration of the link are (theta-1dot) = 3
The force exerted on the hand causes torsion of the humerus. Let us assume the cross-section of this wrestler's humerus is approximated as hollow (the marrow has little structural strength) with an
The rapid sand filter being designed for Laramie has the characteristics show below. Determine the head loss for the clean filter bed in a stratified condition. Depth = 0.75 m
A rigid horiztonal bar is suspended from two springs and is subjected to a vertical force of F0 = 158.8 kips. Each spring has a stiffness k = 14.7 kips/inch. If L1 = 11 inches and L2 = 11 inches, us
a component in a packaging machine is subjected to a tensile load of 36.6 KN which will be repeated several times over the life of the machine. The cross-section of the component is 12 mm thick and
hree wells are drilled in an unconfined aquifer with the following coordinates and observed heads: Well 1: 0,200 (meters) 50 (meters) Well 2: 240,130 54 Well 3: 140, 320 63 (a) Find the magnitude an
use MATLAB to compute state transition matrix and then obtain the step responses y1(t) and y2(t), given that the initial state vector is zero
A solution contains 300 mg/L of acetic acid. Determine the pH of the solution if an equivalent amount of sodium hydroxide (NaOH) is added to it. Determine the concentration of NaOH required (in mg/L
The ball at A is kicked such that theta=30 degrees. If it strikes the ground at B having coordinates x=15 ft, y= -9ft, determine the speed at which it is kicked and the speed at which it strikes the
The zebra mussels have a net growth rate of 0.09 yr-1. At the current time there are 176 zebra mussels in the stream. What is the predicted number of zebra mussels 5, 10, and 20 years from now
A vertical curve is to connect two tangents that intersect at station 30+50 at an elevation of 800.00 ft. The approach gradient is 3 percent and the departure gradient is -5 percent. The elevation o
The small sphere of mass (m) is suspended initially at rest by the two wires. If one wire is suddenly cut, determine the ratio (k) of the tension in the remaining wire immediately after the other wi
determine the components of the 800 lb force f along the oblique axes a and b. also, determine the projections of f onto the a and b axes
At a wastewater treatment plant, FeCl3 (s) is added to remove excess phosphate from the effluent. Assume the following reactions occur: FeCl3(s) <------>Fe3+ + 3Cl- Fe3+ + PO4 (3-) <------&
Given that the seperation distance between the charges is 5m, q1 = -3q2, find the position where the net electric field is zero. Do not use infinity.
A tangent section of highway has a -1.0% grade and ends at station 0+1450and elevation 25m. It must be connected to another section of highway that has a -1% grade and that begins at station 1+345 a
A tank contains 0.05 m^3 of nitrogen gas at -21 C and 10 MPa. Determine the mass of nitrogen, in kg, using: a) the ideal gas model b) data from the compressibility chart Comment on the applicability
The compound interest formula is F=P(1+i)n where F is the total amount due, P is the initial cost or amount of money, i is the interest rate, and n is the number of periods interest is computed. 1.A
The aquifer characteristics are: Ambient temperature=8 oC Hydraulic conductivity = 123 ft/day Hydraulic gradient = 0.00091 ft/ft Effective porosity = 0.31 Total organic carbon = 198 mg/kg Bulk densi
1.How long is the irrigation boom (in feet) from the center pivot to its farthest extent. 2.If the irrigation boom makes 4 full revolutions in a day, how many miles does the end of the boom travel in
A PVC pipe with a diameter of 30 inches will carry a flow of 20 cfs. the bottom slope is 0.005 and the roughness coefficient is 0.015. determine the normal depth, critical depth, velocity and the fr
determine critical depth in a circular pipe of 36 inches diameter and roughness coefficient of 0.015 The flow rate is 15 cfs , So = 0.002