Submarine A travels horizontally at 13.0 m/s through ocean water. It emits a son

Question

Submarine A travels horizontally at 13.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.47 103 Hz. in the forward direction. Submarine B is in front of submarine A and traveling at 4.5 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves ("pings") from submarine A. We wish to determine what is heard by the crewman in submarine B. Use the following equation.
f ' = ((v + v0)/(v - vs))*f


(a) An observer on which submarine detects a frequency f ' as described by the equation above?
Submarine A
Submarine B

(b) In the equation above, should the sign of vS be positive or negative?
positive
negative

(c) In the equation above, should the sign of vO be positive or negative?
positive
negative

(d) In the equation above, what speed of sound should be used?
the speed of sound in air, 343 m/s
the speed of sound in seawater, 1533 m/s
the speed of sound in steel, 6000 m/s

(e) Find the frequency of the sound detected by the crewman on submarine B. (Express your answer to four significant figures.)__Hz

Explanation / Answer

Given Velocity of the submarine A is, vs = 13.0 m/s Frequency emitted by submarine A is , f = 5.47 *10^3 Hz Velocity of the submarine B is, v0 = 4.5 m/s Given equation f ' = ((v + v0)/(v-vs)) * f (a) Observer on B detects a frequency f ' (b ) The sign of vs should be positive , as the source( submarine A) is moving towards the observer ( submarine B) (c) The sign of v0 should be negative , as the observer ( submarine B) is moving away from the source ( submarine A) d) the speed of sound in seawater, 1533 m/s
(e) Frequency detected by the observer on submarine B is,       fo = fs (v - v0 / v + vs)           = ( 5.47 *10^3 Hz) ((1533 m/s - 4.5 m/s) / (1533 m/s + 13 m/s)       fo = 5408 Hz Velocity of the submarine B is, v0 = 4.5 m/s Given equation f ' = ((v + v0)/(v-vs)) * f (a) Observer on B detects a frequency f ' (b ) The sign of vs should be positive , as the source( submarine A) is moving towards the observer ( submarine B) (c) The sign of v0 should be negative , as the observer ( submarine B) is moving away from the source ( submarine A) d) the speed of sound in seawater, 1533 m/s
(e) Frequency detected by the observer on submarine B is,       fo = fs (v - v0 / v + vs)           = ( 5.47 *10^3 Hz) ((1533 m/s - 4.5 m/s) / (1533 m/s + 13 m/s)       fo = 5408 Hz away from the source ( submarine A) d) the speed of sound in seawater, 1533 m/s
(e) Frequency detected by the observer on submarine B is,       fo = fs (v - v0 / v + vs)           = ( 5.47 *10^3 Hz) ((1533 m/s - 4.5 m/s) / (1533 m/s + 13 m/s)       fo = 5408 Hz

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---