Wednesday, April 27, 2011
CS610 Assignment No. 2
ECO401 GDB solution
Consider the markets of motor vehicles and fuel oil. If price of motor vehicles rises, what will happen to the demand of fuel oil? In which direction the demand curve for fuel oil will shift with a rise in price of motor vehicles?
Answer: Fuel Oil Demand will fall and its curve will shift to Left reflecting decrease.
ECO402 Assignment 1 idea solution
Question no 1:
a. Ali has certain amount of money and he has to spend on two goods apple and strawberries. Suppose Ali completely prefers strawberries than apple.
How you will see this particular situation in the consumer equilibrium theory?
b. Support your answer with the help of graph.
Answer
For the first question the answer is "corner solution.” As according to the corner solution, if a consumer buys in extremes and buys the entire one category of good mean completely prefer one good over the other .In this situation the indifference curves are tangent to the horizontal and vertical exist. For the graph look in the lecture number 8 page no 50 in the topic of corner solution.
Question no 2:
Keeping in view the given data for the construction of roads from the year 2000 to year 2004, calculate the nominal price for the roads construction in each year.
Note: Take year 2000 as base year where required.
For question number 2 the formula is given as follows
Nominal price = CPI (current year)/CPI (base year)*Real price.
Here is the solution for the first year. Solve others by similar formula.
Nominal Price for the year 2000 = 45.5/45.5*5550
Nominal Price for the year 2000= 5550
PHY101 2nd Assignment Solution
Q# 1 A compact disc stores lectures Physics (PHY101) in a coded pattern of tiny pits 10-7m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 20.0mm and 50.0mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.5m/s.
(a) What is the angular speed of the CD when the innermost part of the track is scanned the outermost part of the track?
(b) The maximum playing time of a CD is 75.0m. What would be the length of the track on such a maximum duration CD if it were stretched out in a straight line?
(c) What is the average angular acceleration of a maximum duration CD during its 75.0m playing time? Take the direction of rotation of the disc to be positive.
Ans 1. The problem statement, all variables and given/known data
Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.25 m/s.
The maximum playing time of a CD is 74.0 min. What would be the length of the track on such a maximum-duration CD if it were stretched out in a straight line?
2. Relevant equations
theta = (w_f + w_0)t
s = r*theta
w = angular velocity
3. The attempt at a solution
This is part 3 of the problem so I already have the angular velocity for the innermost and outermost of the disc--which I assume it is the initial and final angular velocity. Pls correct me if I'm wrong. I've used the eqns above to find theta and the length but I'm coming out with the wrong answer, 5.25km. I took the outer radius - inner radius = r. Can someone pls correct me? I don't know what I'm doing wrong. :frown:
Q # 2
The flywheel of a gasoline engine is required to give up 550J of kinetic energy while its angular velocity decreases from 790 rev/min to 730rev/min. What moment of inertia is required?
Ans
790rpm = 790 x 2pi / 60 rad/s; w1 = 82.73 rad/s
730rpm = 730 x 2pi / 60 rad/s; w2 = 76.45 rad/s
Kineic energy of rotation = Iw2/2 so
550 =(I x 82.73^ /2) - (I x 76.45^2)
1100 = I x (82.73^2 - 76.45^2)
I = 1100 / 999.65
= 1.10 kgm^2