CB & AO workshop
advertisement
College Bowl & Academic Olympiad Workshop Thursday, October 1st, 2015 www.shpeucf.com Upcoming Events • Network Workshop • • • Date: Tuesday, October 6th 2015 Time: 7:00 pm Location: CREL building, Room 121 • Study Lock Down • • • Date: Wednesday, October 7th 2015 Time: 6:00 pm Location: Library, Room 433 • Hispanic Heritage Month – Cultural Potluck Day • • • Date: Friday, October 9th 2015 Time: TBA Location: TBA Upcoming Events • Tailgate • • Date: Saturday, October 10th 2015 Time: TBA • Conference Checklist Overview – MANDATORY • • • Date: Monday, October 12th 2015 Time: TBA Location: TBA What is College Bowl? HENAAC College Bowl • A two-day, high energy competition in which teams of college students, coached and judged by industry and government representatives, focus on showcasing their talents, teamwork and leadership skills. • Each round of competition addresses carefully selected topics relevant to career success • Opportunity for students to win scholarships for first, second, and third placing teams. HENAAC College Bowl • Offers students the chance to gain a perspective from corporate mentors and more important sharpen their skills in areas of communication and teamwork • The event is both a rewarding opportunity for students to interact and compete with their peers and a chance to interact with STEM professionals. How can I prepare? Things to keep in mind • Resumes • Creativity • Boastful • Teamwork • Resourceful • Outgoing What is Academic Olympiad? Academic Olympiad • Team competition designed to test the technical knowledge of SHPE's Hispanic Technical Talent • Award to each competing team member: First Place: $1250 Second Place: $1000 Third Place: $750 • Mandatory for each chapter has a team to represent. Academic Olympiad • Technical areas to be covered in the competition may include, but are not limited to, the following: - Mechanics - Chemical Engineering - Chemistry (Organic & Inorganic) - Civil Engineering - Computer Engineering/ Computer Science - Electrical Engineering - General Science (Trivia) - Mathematics - Mechanical Engineering - Physics Materials - Manufacturing • Written exam & oral competition How can I prepare? Things to keep in mind • Refresh on Previous Topics • Communicate • Teamwork • Calculator!! Extreme Engineering • Non-stop 24-hour competition interview and potential foot leading engineering companies in the nation • The program engages teams against each other to find out who can OUTDESIGN, OUT-DEVELOP, and OUT-PROMOTE the others in a race against time, talent and creativity • Cash prizes for the team who wins Trivia Competition 1) What is the standard form of the equation of the line tangent to a circle centered at the origin with a radius of 5 at the point (3,4)? a) π₯ = −4 π¦ 3 3 25 − 4 b) π¦ = 4 π₯ + c) π¦ = d) π¦ = −3 π₯ 4 −3 π₯ 4 25 4 9 + 4 + 25 4 D) π = −π π π + ππ π The slope of the radius line to point (3,4) is 4/3. Therefore, the slope of the tangent line is -3/4 The point-slope form of a straight line with (π₯1 , π¦1 ) = (3,4) is −3 π¦−4= (π₯ − 3) 4 The standard form is −3 9 π¦= π₯+ +4 4 4 −3 25 = π₯+ 4 4 2) A graph of the equation, π = π + π would consist of which one of the following? a) One straight line b) Two parallel straight lines c) One curved line d) Two straight lines D) Two straight lines Note the absolute value, therefore; Y is always positive. A plot of the equation is shown in the figure below. 3) What are the horizontal and vertical components of reaction at C and the tension in the cable AB for the truss? a) ππ΄π΅ = 6.89ππ , πΆπ₯ = 5.11ππ , πΆπ¦ = 5.05ππ b) ππ΄π΅ = 3.89ππ , πΆπ₯ = 4.11ππ , πΆπ¦ = 4.05ππ c) ππ΄π΅ = 5.89ππ , πΆπ₯ = 5.11ππ , πΆπ¦ = 4.05ππ d) ππ΄π΅ = 4.05ππ , πΆπ₯ = 5.89ππ , πΆπ¦ = 5.11ππ C) π»π¨π© = π. ππππ΅ , πͺπ = π. ππππ΅ , πͺπ = π. ππππ΅ 4) What is the maximum possible positive oxidation number for the element Br? a) +1 b) +3 c) +4 d) +7 D) +7 Bromine has an oxidation number of -1, which means that it normally accepts one electron to complete its outer shell of eight electrons. Alternatively, it could give up seven electrons to have a full outer shell. 5) What is the Thevenin equivalent circuit between terminals A and B looking to the left for the following circuit? a) πππ = 10 π, π ππ = 10 Ω b) πππ = 100 π, π ππ = 18 Ω c) πππ = 110 π, π ππ = 4 Ω d) πππ = 120 π, π ππ = 12 Ω D) π½ππ = πππ π½, πΉππ = ππ π΄ The Thevenin equivalent circuit consists of a voltage source in series with a resistor. The equivalent voltage is the open-circuit voltage betweeb terminals A and B, with π πΏ disconnected. The voltage will be the same as that across the 12 Ω πππ = πΌπ = 10 π΄ 12 Ω = 120 V The equivalent resistance is found by open-circuiting the current source. The equivalent resistance is the resistance across terminals A and B π ππ = 12 Ω 6) Given the slope-intercept form of a line as y = mx + b, which one of the following is true? a) m/b is the y-axis intercept b) b is the x-axis intercept c) y – b is the slope of the line d) -b/m is the x-axis intercept D) -b/m is the x-axis intercept For the slope-intercept form of a line; y = mx + b b is the y-intercept where x = 0 ππ¦ m is the slope ππ₯ -b/m is the x-intercept where y = 0 7) Inflation can be best be defined as which one of the following? a) The rise of prices over time b) An increased demand c) An increase in interest rate that a bank charges for capital d) The rise or fall of interest rates over time A) The rise of prices over time Inflation is the rise of prices over time. Webster defines inflation as the rise in prices related to an increased volume of money and credit resulting in a loss of currency. 8) A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the probability that the number on the ball selected will be odd or greater than 80? a) 0.1 b) 0.5 c) 0.6 d) 0.7 C) 0.6 Find the probability of each of the outcomes being tested for. 50 π ππππ ππ πππ = = 0.5 100 20 π ππππ > 80 = = 0.2 100 It is possible for the number on the selected ball to be both odd and greater than 80. Use the law of total probability P(A + B) = P(A) + P(B) – P(A,B) = P(A) + P(B) – P(A)P(B) P(odd or > 80) = 0.5 + 0.2 – (0.5)(0.2) = 0.6 9) What is standard temperate and pressure (STP)? a) 0 Deg F and 14.7 psia b) 0 Deg C and 1 liter volume c) 32 Deg F and 0 psia d) 32 Deg F and 1 atm D) 32 Deg F and 1 atm Standard temperature = 0 deg C (32 deg F) Standard pressure = 1 atm (14.7 psia) 10) Which one of the following is a heat treating process? a) Calcification b) De-nitrification c) Annealing d) Pressurization C) Annealing Annealing is a process where a material is heated to just above its critical point and then allowed to slowly cool. This process relieves internal stresses and softens the material. 11) Solve the following differential equation. π′′ + ππ′ + ππ = π π π =π π′ π = π a) π¦ = 1 − 2π₯ π 2π₯ b) π¦ = 2 − π₯ π −2π₯ c) π¦ = 2 + π₯ π −2π₯ d) π¦ = 1 + 2π₯ π −2π₯ D) π = π + ππ π−ππ The characteristic equation for the second-order, homogeneous linear equation is π 2 + 4π + 4 = 0 The roots are π1,2 = −π ± π2 − π = −2 ± 22 − 4 = -2, -2 2 Since π = π, the solution is π¦ = πΆ1 + πΆ2 π₯ π ππ₯ = πΆ1 + πΆ2 π −2π₯ Evaluate the equation at the initial conditions y(0) = 1 1 = πΆ1 + πΆ2 0 π −2 0 → πΆ1 = 1 Diffferentiate the expression for y to obtain y’ π¦ ′ = πΆ1 + πΆ2 π₯ π −2π₯ −2 + πΆ2 π −2π₯ y’(0) = 0 0 = −2π −2 0 πΆ1 + πΆ2 0 π −2 0 = −2 1 + πΆ2 → πΆ2 = 2 12) The electrical charge associated with one electron is: a) 1 eV b) -1 Coulomb c) 6.25 x 1018 Coulombs d) -1.60 x 10 -19 Coulombs D) -1.60 x 10 -19 Coulombs The charge on one electron = -1.60 x 10 -19 Coulombs 1 eV is a unit of energy or work, 1 eV = -1.60 x 10 -19 Joules 13) Which one of the following states the fundamental modes of heat transfer? a) Friction, Convection, Nuclear reactions b) Conduction, Convection, Radiation c) Ionization, Evaporation, Radiation d) Chemical reaction, Electrical resistance, Nuclear reactions. A) Conduction, Convection, Radiation The fundamental modes of heat transfer are conduction, convection, and radiation. 14) A 10 kg mass block is initially pushed at a velocity of 1 m/sec along a horizontal track. If the block travels 10 meters before it stops, what is the coefficient of kinetic friction (uk) between the block and track? a) 0.005 b) 0.250 c) 0.450 d) 0.500 A) 0.005 For a conservative system w/friction PE1 + KE1 + W 1,2 = PE2 + KE2 KE = ½mv2 Work done by friction = x F dx uk = Friction Force / Normal force Since PE is the same for initial and final conditions and the final velocity is 0 KE1 + W 1,2 = 0 ½mv2 + x F dx = 0 Since friction force is constant ο ½mv2 + F (x2 - x1) = 0 F = -½mv2 / (x2 - x1) F = -½(10 kg)(1 m/sec)2 / 10 m) F = - 0.5 N Normal = Weight of block since table is horizontal Normal = mg = 10kg(9.8 m/sec2) = 98 Newtons uk = 0.5/98 = 0.0051 15) What is the value of matrix element (c2,3), given C = A + B + A, where: a) 9 b) 6 c) 12 d) 15 C) 12 c = a i j+ b i j + a i = 2, j = 3 ij ij Substitute c2,3 = a2,3 + b2,3 + a2,3 c2,3 = 3 + 6 + 3 = 12 16) The ship is pushed through the water using an A-36 steel propeller shaft that is 8 m long, measured from the propeller to the thrust bearing D at the engine. If it has an outer diameter of 400 mm and a wall thickness of 50 mm, determine the amount of axial contraction of the shaft when propeller exerts a force on the shaft of 5 kN. The bearing at B and C are journal bearings. a) −3.64 10−6 ππ b) −3.64 10−3 ππ c) 2.64 10−3 ππ d) 4.64 10−3 ππ B) −π. ππ ππ−π ππ 17) The velocity distribution for laminar flow between parallel plates is given by π π ππ =π − ππππ π where h is the distance separating the plates and the origin is placed midway between the plates. Consider a flow of water at 15° C, with ππππ = 0.10m/s and h= 0.1 mm. What the shear stress on the upper plate and the direction. a) −3.24 π π2 b) −4.56 π π2 c) 4.56 π π2 d) −5.56 π π2 B) −π. ππ τπ¦π₯ π΅ ππ π = −4.56 2 π 18) The thermal resistance for one-dimensional steady conduction heat transfer through a cylindrical wall in the radial direction is which of the following? a) Linear b) Logarithmic c) Exponential d) Polynomial B) Logarithmic For heat flow radically through cylindrical pipe walls, the logarithmic mean area is used. π΄π = π΄0 − π΄π π΄ ln π΄0 π Since thermal resistance is L/kA, the thermal resistance is logarithmic. 19) A car starts from rest and with constant acceleration achieves a velocity of 15 m/s when it travels a distance of 200 m. What is the acceleration of the car and the time required. a) 26.7 π π 2 , 0.56 π b) 0.89 π π 2 , 15.7 π c) 0.56 π π 2 , 26.7 π d) 1.56 π π 2 , 36.7 π C) π. ππ π ππ , ππ. π π 20) Air is compressed isentropically such that its pressure is increased by 50%. The initial temperature is 70°C. What is the final temperature? a) 80°C b) 110°C c) 140°C d) 240°C B) 110°C For a closed isentropic (constant entropy) process, π1 = 70°C + 273 = 343K (1−π)/π π1 π2 = π2 π1 π2 = π1 π1 π2 (1−π)/π (1−1.4)/1.4 1 = 1.5 = 385.1πΎ π2 = 385.1πΎ − 273 = 112°C (110°C) • Email shpe.ucf.chapter@gmail.com • Website www.shpeucf.com • LinkedIn • Group (Public Search) Society of Hispanic Professional Engineers – University of Central Florida Chapter • Office Hours • Engineering Building 1 Room 149 • Facebook • Page (Public) www.facebook.com/shpeucfchapter • Group (Private) www.facebook.com/groups/SHPEUCF/ • Twitter www.twitter.com/shpeucfchapter @shpeucfchapter • Instagram www.instagram.com/shpeucf/ #shpeucf • YouTube www.youtube.com/user/shpeucfchapter
