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A pulley 150mm diameter revolved at 300rev/min calculate the speed of the passing over the pulley. (141 m/min)
3 The extension, , of a material with an applied force, , is given by .
a) Calculate the work done if the force increases from 200N to 600N using:
i) An analytical integration technique
ii) A numerical integration technique
[Note: the work done is given by the area under the curve]
b) Compare the two answers
c) Using a computer spreadsheet increase the number of values used for your numerical method
d) Analyse any affect the size of numerical step has on the result.
Case Studies
A hospital named XYZ requires a laboratory management system and has
contacted your firm. You have 20 programmers, out of which 15 are busy with
other projects for the time being. The hospital intends to acquire laboratory
equipment, which they want to interface with the computer system. The annual
evaluation of the hospital is due soon, in which computerization initiatives are
appreciated.
The owner of a video store has contacted you to develop a system to keep track
of videos and rentals. He feels that with the growing number of customers, such a
system will greatly help in managing accounts and providing better customer
service.
Question:
1. With the illustration of a diagram identify the process model that you think
will be most appropriate for each of the above situations.
2. Justify the choices of the process models you identified in question 1.
5. A room in the lower level of a cruise ship has a 30-cm-diameter circular window. If the midpoint
of the window is 5 m below the water surface, determine
(a) The hydrostatic force, in N, acting on the window, and
(b) The pressure center, in m.
Take the specific gravity of seawater to be 1.025.
A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown
in the figure. When the water level reaches 15 ft, the cylindrical gate opens by turning about the
hinge at point A. Determine
(a) The hydrostatic force, in lbf, acting on the cylinder and its line of action when the gate
opens and
(b) The weight, in lbf, of the cylinder per ft length of the cylinder.
the pressure at point A is 25 psi. All fluids are at 20 C. What is the
air pressure in the closed chamber B, in Pa? SAE 30 oil ρ= 891 kg/m3
A container of 5 m 3 contains air at 100 kPa and temperature of 300K. To reduce the pressure and the temperature in the container, part of the air is removed. The new temperature and pressure is recorded as 7 oC and 50 kPa respectively. Take R = 287 J/kg.K for air. Obtain the amount of air removed from the container
1.. A vector B, when added to the vector C = 3.0i+4.0j, yields a resultant vector that is in the positive y-direction and has a magnitude equal to that of C. What is the magnitude of B?
.2 a. Will a body moving in a circular track have zero acceleration? Explain your answer.
b. In a local bar, a customer slides an empty beer mug on the counter for a refill. The bartender does not see the mug, which slides off the counter and strikes the floor 1.40m from the base of the counter. If the height of the counter is 0.860m, (a) with what speed did the mug leave the counter, and (b) what was the direction of the mug’s velocity just before it hit the floor?
Please help me with this assignment.- Physics, Engineering Science.
- a. A motorcyclist traveling with a constant speed of 15m/s passes a school crossing corner, where the speed limit is 10m/s. Just as the motorist passes the school crossing sign, a police officer on a motorcycle stopped there, starts in pursuit with a constant acceleration of 3.0m/s2. I. How much time elapses before the officer meets the motorist?
II. What is the Police officer’s speed at that time?
III. At that time, what distance has each vehicle traveled?
b. The volume of an object as a function of time is calculated by
V= At3+ B/t, where t is time measured in seconds and V is in cubic meters. Determine the dimension of the constants A and B.
3.10 A rotating thin steel cylinder is replaced by a rotating thin aluminium cylinder
of the same mass, length and wall thickness. The stress due to rotation in
the aluminium cylinder is to be 25 % of that in the steel cylinder. Calculate the
allowable speed of the aluminium cylinder if the steel cylinder rotates at 600
r/min (relative density of steel = 7,8; relative density of aluminium = 2,9)
