1. ( 4 points) Find the remaining sides of a 30° – 60° – 90° triangle...
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12. The angle between two forces 1700 N and 2500 N is 37° when placed tail to tail. What is the magnitude of the resultant force? 9. The blades of a wind turbine are 116 feet long. The propeller rotates at 15 revolutions per minute. (a) Find the angular velocity of the propeller in radians/sec. (b) Find the linear velocity of the tips of the blades. Round your answers to four significant digits. 10. The...
1) If the sector formed by a central angle of 30° has an area of π/3 square centimeters, find the radius of the circle. ? cm 2) Point P sweeps out central angle θ as it rotates on a circle of radius r as given below. Find the angular velocity of point P. θ = 40, t = 8 min ? rad/min 3) A mixing blade on a food processor extends out 2 inches from its center. If the blade...
1. The diagram shown below is called an Ailles rectangle. It is named after the high school teacher who first discovered it. The Rectangle is constructed from four triangles. The triangle in the middle is a 30°- 60°- 90 triangle and the triangle in the upper left hand corner is a 45'- 45°- 90 triangle. Complete the following using exact values - no decimals. (a -d 4 points each, part e 6 points) DB a. Find the measure of the...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths 3,2 and 1. b) Identify the adjacent and opposite sides relative to the 30° angle c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle. 2) a) Draw a right triangle that has one angle measuring 45°. Label the sides using the lengths 1,1, and VE b) Identify the adjacent and opposite sides relative to one of...
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Phys 2513-quiz 1 - Feb.9 15, 2017 Name: Student ID: Question 1-3 are problems of chapter 1 worth 5 points each. If it is multiple choices, clearly circle one 1) The speed of flight is now defined to be 2.997 924 58 10'8 m/'s, Express the speed of Light to a) Three significant figures, 3.00 10 b) Five significant figures, 21o® c) Seven significant figures 2.997924 ios 2) The triangle...
1a) Suppose a point has polar coordinates (-6, 7π/6), with the angle measured in radians.Find two additional polar representations of the point.Write each coordinate in simplest form with the angle in [-2π, 2π].1b)A ceiling fan has 14 -inch blades (so the radius of the circular fan is 14 inches). Suppose the fan turns at a rate of 49 revolutions per minute.(a) Find the angular speed of the fan in radians per minute.(b) Find the linear speed of the tip of a...
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1. (10 points) A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Remember to include a negative sign if the radius is decreasing. 2. (10 points) Use a...
An escalator in a department store is made to long is the escalator if it makes an angle of 45° with the ground? (See Figure 6.) carry people a vertical distance of 18 feet between floors. How FIGURE 6 The escalator iseet. Previcw Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Due Thu 12/13/2018 11:59 pm If the shortest...
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...
7. ( 4 points) Find all six trigonometric functions for 0 if the point (2,-1) lies on the terminal side of 0 in standard position. 8.( 4 points) A bullet is fired into the air with an initial velocity of 800 feet per second at an angle of 55º form the horizontal. Find the magnitudes of the horizontal and vertical vector components of the velocity vector.