An unfingered guitar string is 0.68 m long and is tuned to play E above middle C (330 Hz). Required:
a. How far from the nut of the guitar must a fret (and your finger) be placed on this string to play B (494 Hz)?
b. What is the wavelength on the string of this 466-Hz wave?
c. What is the frequency of the sound wave produced in air at 18°C by this fingered string? The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C.
d. What is its wavelength of the sound wave produced in air at 18°C by this fingered string?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

You have a resistor and a capacitor of unknown values. first, you charge the capacitor and discharge it through the resistor. by monitoring the capacitor voltage on an oscilloscope, you see that the voltage decays to half its initial value in 2.70 miss . you then use the resistor and capacitor to make a low-pass filter. what is the crossover frequency fc?

Directions: count the number of atoms. ar co2 na3po4 so3 nac2h3o2