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3) The beaters on an electric mixer are initially spinning at 80 rev/min, and have a radius of 3.0 cm. At time t=0, the angular speed is changed to 100 rev/min. A) (5 points) If it takes 0.500 seconds for the beaters to reach their new speed, what is the angular acceleration of the mixer? $\alpha = 4.19 \, rad/s^2$ B) (5 points) How many revolutions do the beaters make during that time interval? $\Delta \theta = 0.75 \, rev$ C) (5 points) What is the tangential acceleration of the beaters during this time interval? $a_T = 0.126 \, m/s^2$

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Look at the following piece of DNA cut with enzymes I and II, crating 3 fragments; A, B and C. Which of these is the correct configuration for how they would run on a gel? (remember that DNA is negatively charged). DNA: \begin{tabular}{|c|c|c|} \multicolumn{1}{c}{ I } \\ \hline A & B & C \\ \hline \end{tabular} 1. $ \square $ 2. $ \square $ 3. ( $ \square $ 1 2 3

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Targeting host proteins as antiviral drug approach has high safety and selectivity a. TRUE b. FALSE

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Problem 2.4: A simple cubic lattice with a lattice constant (cube edge) $a = 2.0 \times 10^{-10} m$ has its primitive lattice vectors along the cube edges (i.e. $\vec{a_1} = a\hat{x}$, $\vec{a_2} = a\hat{y}$ and $\vec{a_3} = a\hat{z}$). If a plane intersects these axes at $-2\vec{a_1}$, infinity and $4\vec{a_2}$, a) find the corresponding Miller indices. b) the interplanar distance between adjacent planes parallel to this plane.

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Which of the following rational numbers are equal to $\frac{1}{7}$? (Select all that apply.) $\frac{-1}{7}$ $\frac{1}{-7}$ $\frac{-1}{7}$ $\frac{-1}{-7}$ $\frac{-1}{-7}$ $\frac{-1}{7}$

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Task 2: Triple Integral - Cartesian Coordinates Given a solid bounded region by the surface, z = x², the planes y = 0, and z = 4 - y. a) Draw the diagram using a mathematical application (GeoGebra, etc.) (3m) b) Draw the projection of the diagram using a mathematical application (GeoGebra, etc.) from: i. x-axis (3 m) ii. y-axis (3 m) iii. z-axis (3 m) c) Hence, find the volume of the integral from each projection. i. x-axis (7 m) ii. y-axis (7 m) iii. z-axis (7 m)

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3. A uniformly charged loop with a radius of 10 cm and a linear charge density of ? = +51.0 nC/m is centered on the x-axis. A charged particle with a mass of 1.25 g and a charge of 15 µC is placed 12 cm from the center of the loop on the x-axis as shown in figure below. Released from rest, what is the velocity of the charged particle when it is very far from the charged loop?

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Syracus Course Materials Labs Lectures Tools Courses < Spring 2014 CIV E 121 Lecture 5 24

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b) 8| Page Question 5 [50 marks] a) A generator at a regional Power Station produces an alternating voltage, according to the function, V below: V = 120 sin (2t), where V is the voltage in volts, and t is in seconds. i) Plot the voltage as a function of time t for 0 ? t ? 2? seconds. Label the axis and intercepts clearly for full marks. (10 marks) An electrical engineer needs to determine when this generator will have a voltage that is exactly +60 V. ii) How many times in the interval 0 ? t ? 2? will the voltage reach +60 V? iii) Determine the exact times when this occurs for 0 ? t ? 2?. (5 marks) (20 marks) A turf roller with a radius, r of 1.0 metres and length, l of 5 metres, completes 3 revolutions in 6 seconds. (Give all answers with pi (?)) r = 1.0 m l = 5 i) Calculate the linear velocity of the roller in metres/second. (5 marks) ii) How revolutions does it make in 1 minute? (5 marks) iii) If the roller continues in a straight path, what area of turf will be rolled in one minute? (5 marks)

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