A submarine traveling at 13 ms toward an aircraft carrier...

A submarine traveling at 13 m/s toward an aircraft carrier emits a 2560 Hz sonar pulse. The reflected pulse returns with a frequency of 2576 Hz. What is the speed of the aircraft carrier? (Positive/negative means the carrier is moving toward/away from the submarine, respectively.) The speed of sound in water is 1500 m/s. Answer in units of m/s. Your response... Previous Responses X#1. 19.25465839 X#2. 22.24 X#3. 22.23602484

Transcript

00:01 Hi there.

00:01 So for this problem, we are told that submarine a travels horizontally at a speed that is given.

00:07 So let's call that speed bs and that is equal to 11 meters per second through the ocean water.

00:19 It emits a son or signal of frequency that is given and that frequency is 5 .27 times 10 to the 3 hearse in the forward direction.

00:33 Now, sudmarine b is in front of the sudmarine a and traveling at 3 meters per second relative to the water in the same direction as the submarine.

00:43 So we're going to call this as speed b sub 0 and that is 3 meters per second.

00:50 So a crewman in the submarine b uses his equipment to detect the sun waves from the submarine a.

00:57 We wish to determine what is heard by the crewman in the submarine b.

01:01 Now, for part a of this problem, we are asked about an observer on which sudmarine detects a frequency f -prime.

01:09 So the frequency f -primes is given by the following expression, that is, the speed of sound in water, plus the speed on the sudmarin b, and this divided by the speed of sound in water minus the speed of the sudmarine a, and this times the initial frequency.

01:30 This corresponds to the frequency detected by the submarine a.

01:45 So that's a solution for part a of this problem.

01:52 Now for part b, we are asked about should the sign of the speed bs be positive or negative.

02:00 Now, the sign of b -sub -0 should be positive, positive, as the observer of submarine b is moving away from the source of the submarine a.

02:27 Now, for par c of this problem, we are asked about, well, this, sorry, well, b -sub -0 should be positive, and then b -s should be negative.

02:52 Sorry, bs should be negative and positive, sorry, positive, and b -0 should be negative...

Question

Please give Ace some feedback