Question: 1. The following table lists data for the speed and radius of three examples of uniform circular motion. Find the magnitude of the centripetal acceleration









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The following table lists data for the speed and radius of three examples of uniform circular motion. Find the magnitude of the centripetal acceleration for each example. Radius Speed Example 1 0.52m 19m/s Example 2 Infinitely large 34m/s Example 3 2.8m 2.4m/s (a) Example 1: a = Number i Units (b) Example 2: at = Number i Units (c) Example 3: at = Number UnitsMultiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.174 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.60 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Is = Number i UnitsA "swing" ride at a carnival consists of chairs that are swung in a circle by 17.5 m cables attached to a vertical rotating pole, as the d rawing shows. Suppose the total mass of a chair and its occupant is 142 kg. (3} Determine the tension in the cable attached to the chair. lb} Find the speed of the chair. {a} Number n Units V {b} Number Units V A woman is riding a Jet Ski at a speed of 21 m/s and notices a seawall straight ahead. The farthest she can lean the craft in order to make a turn is 21% This situation is like that of a car on a curve that is banked at an angle of 21% If she tries to make the turn without slowing down, what is the minimum distance from the seawall that she can begin making her turn and still avoid a crash?Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 495 km above the earth's surface, while that for satellite B is at a height of 774 km. Find the orbital speed for (a) satellite A and (b) satellite B. (a) VA = i (b) VB= iA rocket is used to place a synchronous satellite in orbit about the earth. What is the speed of the satellite in orbit? O 3070 m/s O 4070 m/s O 2070 m/sA satellite circles the earth in an orbit whose radius is 4.72 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 10 m. What is the period of the satellite? Number i UnitsThe second hand and the minute hand on one type of clock are the same length. Find the ratio (ac, second/de,minute) of the centripetal accelerations of the tips of the second hand and the minute hand. = Number i Units Cc.minuteA centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the bottom of the container. Suppose the centripetal acceleration of the sample is 5.36 x 103 times as large as the acceleration due to gravity. How many revolutions per minute is the sample making, if it is located at a radius of 192 cm from the axis of rotation? Number Units V To create articial gravity, the space station shown in the drawing is rotating at a rate of 1.20 rpm. The radii of the cylindrical ly shaped chambers have the ratio rjrB = 3.00. Each chamber A simulates an acceleration due to gravity of 5.10 misz. Find values for {a} 0;, {b} g, and (c) the acceleration due to gravity that is simulated in chamber B
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