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Problem 1:
A velocity field is given by
Find the velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector.
Given that:
Problem 2:
A reducing elbow in a horizontal pipe is used to deflect water flow by an angle θ = 30o from the flow direction while accelerating it. The elbow discharges water into atmosphere. The cross-sectional area of elbow is 140 cm2 at the inlet and 20 cm2 at the exit. The elevation difference between the centres of the exit and the inlet is 30 cm. The mass of the elbow and the water in it is 40 kg. Determine the anchoring force needed to hold the elbow in place. Take the momentum-flux correction factor to be 1.03 at both the inlet and outlet.
Problem: The car in the figure travels at a constant speed along the road shown. Drawn the car's acceleration vectors at the points labeled A, B, and C. If appropriate write α = 0 next to any points where there is no acceleration.
I recently had to replace both front headlights on my car. The life expectancy of my headlights follows an exponential distribution with a MTBF of 1500 hours. That is, the expected number of hours until failure is 1500 hours. For the purposes of t..
Find the joint distribution of the random sample in part (c). List all assumptions made when finding this joint distribution and explain whether or not each is reasonable in this scenario.
What is standard deviation for the average time? Use the 99.7% of the data, describe the variability of this sample mean
1) Determine the autocorrelation function RXX(T) for the continuous-time random process X(t) that has the power spectrum (show all steps for your derivation)
consider the following lpmaximize z4x15x23x3subject tox1x24x3le6x12x2x3le7x14x22x3le12a add slack variables x4 x5 and
the speedem-feedem airline must decide how many new flight attendants to hire and train over the next six months. the
Question 1: Which statistic is the best expression of error variance in an ANOVA?
Let D be the parallelogram with vertices (0, 0), (1, 2), (2, 2), (3, 4) - Evaluate double integrals to find the volume
Denote by Y the number of seconds we have to wait until we receive the first call. Calculate Var(Y ) exactly and estimate this quantity based on 100000 simulations of this process via crude Monte Carlo and Calculate the probability that we have to ..
You have been recently employed as the director of operations of a hotel. The hotel is in a relatively large city with many other comparable hotels in its vicinity. As part of your job, your responsibilities include:
Your boss calls you into his office and he is extremely angry. He was embarrassed at a meeting because he put forward a recommendation that you had made and his idea was shot down by one of the technical geniuses in another department.
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