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The half-wave dipole is fed in the center by coaxial cable Each element of the dipole is one-half of the overall length (or, in the example given, about 94 ft) Figure 12-1 shows a rotatable dipole that can be designed for use on 15, 12, and 10 m The radiator elements are made from 10-ft lengths of 3 4-in aluminum tubing The tubing is mounted on beehive standoff insulators, which in turn are mounted on a 4-ft length of 2 2 lumber The lumber should be varnished against weathering In a real pinch, the elements can be mounted directly to the lumber without the insulators, but this is not the recommended practice The mast is attached to the 2 2 lumber through any of several means The preferred method is the use of a 1-in pipe flange These devices are available at hardware stores under the names floor flange and right-angle flange The 10-ft lengths of pipe are the standard lengths available in hardware stores, so it was selected as being closest to the required 22 ft for 15 m A 014- H loading coil is used at the center, between the elements, in order to make up for the short length The dimensions of the coil are 4 to 5 turns, 05-in diameter, 4-in length For low power levels, the coil can be made of no 10 (or no 12) solid wire and, for higher levels, 1 8-in copper tubing There are two basic ways to feed the antenna, and these are shown in details A and B in Fig 12-1 The traditional method is to connect the coaxial cable (in parallel) across the inductor This method is shown in Fig 12-1, detail A A second method is to link couple the coil to the line through a one- to three-turn loop (as needed for impedance matching) This is the method that would be used for a toroidal inductor Lower frequencies can be accommodated by changing the dimensions of the coil The coil cannot be scaled, simply because the relative length of the antenna changes as the frequency changes But it is possible to cut and try by adding turns to the coil, one turn at a time, and remeasuring the resonant frequency Adding inductance to the coil will make the antenna usable on 17 m and 20 m, as well as on 15 m Another method for building a rotatable dipole for lower frequencies is to increase the element lengths On 17 m, the overall length is approximately 274 ft, so each element length is 137 ft long This length can be achieved by either of two methods First, adjacent sizes of aluminum tubing are designed so that the smaller will be a slip-fit inside of the larger What constitutes adjacent sizes depends on the wall thickness, but for one common brand, the 7 8-in is adjacent to the 3 4-in size You.



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1 r2

What if angular velocity is changing For example, if a car were accelerated from 00 m/s to 25 m/s in 15 s, then the angular velocity of the wheels also would change from 00 rad/s to 78 rad/s in the same 15 s The wheels would undergo angular acceleration, which is defined as the change in angular velocity divided by the time required to make the change Angular acceleration, , is represented by the following equation Angular Acceleration of an Object

13 Given:

t Angular acceleration is equal to the change in angular velocity divided by the time required to make that change





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Angular acceleration is measured in rad/s2 If the change in angular velocity is positive, then the angular acceleration also is positive Angular acceleration defined in this way is also the average angular acceleration over the time interval t One way to find the instantaneous angular acceleration is to find the slope of a graph of angular velocity as a function of time The linear acceleration of a point at a distance, r, from the axis of an object with angular acceleration, , is given by a r Table 8-1 is a summary of linear and angular relationships

Table 8-1

can use two smaller lengths to make the larger lengths of pipe, and cut it to size This method is only available to those readers who have a commercial or industrial metals distributor nearby, because the 16-ft lengths are not generally available from hardware stores Bands higher than 15 m (ie, 12 and 10 m) can be accommodated by using the 10-ft lengths of tubing, but without the inductor The tubing is cut to the desired half-wavelength size and used directly

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Linear and Angular Measures Quantity Displacement Velocity Acceleration Linear d (m) v (m/s) a (m/s2) Angular (rad) (rad/s) (rad/s2) Relationship d v a r r r

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