biscms/mod/ibis/view.php?id-4705859 Jump to.. Sapling Learning Anemometers (pict
ID: 2038110 • Letter: B
Question
biscms/mod/ibis/view.php?id-4705859 Jump to.. Sapling Learning Anemometers (pictured) are used to measure wind speeds. Wind striking the cups causes the assembly to rotate; a gauge measures the frequency of this rotation and translates the data into wind speed. The length of each arm, as measured from cup to cup, is 0.425 m. The friction in the bearings is negligible so the tangential speed of the cups matches the wind speed fairly clo bulb Your company makes anemometers and plans to install light bulbs on them for high wind warnings. The idea is to attach a coil of wire of radius 0.132 m to one of the arms and use the EMF induced by the magnetic coil field of the Earth to light the bulb. The bulbs possess 234 Q of internal resistance but need 13.5 W of rms power dissipation to be visible at night. (The resistance of the wire is negligible.) Although company management wants this new feature, you have doubts about its practicality. Assuming the magnetic field of the Earth is 0.500 x104 T and is oriented roughly horizontal with the Earth, and that 39.1 m/s (87.5 mph) is considered the threshold of dangerous wind speed, calculate the number of turns in the coil wire needed to light the bulb. B wind Number turns Would this high wind warning feature be useful? O No, the coil would be too large to fit on the anemometer O Yes, this device is practical from a design standpoint Previous Give Up & View SolutionCheck Answer Nextxit Hnt ??Explanation / Answer
a)
rms value of induced voltage
V=sqrt[PR]=sqrt[13.5*234] =56.2 Volts
Peak value of induced voltage
VP=sqrt(2)*V=79.5 Volts
Since VP=NBAW
N=79.5/(0.5*10-4)(pi*0.1322)(39.1/0.425)
N=315671 turns
b)
No the coil would be too large to fit on the anemometer
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