An aircraft carrier has a speed of 13.0m/s relative to the water. A jet is catapulted from the deck and has a speed of 67.0m/s relative to the water. The engines produce a 1550-Hz whine, and the speed of sound is 343m/s. What is the frequency of the sound heard by the crew on the ship?
CAN ANYONE PLEASE GIVE ME SOME IDEAS TO DO IT?THANKS A LOT!!!
The observer is moving toward the source at 13m/s, and the source is moving away from the observer at 54m/s. Use the formula.
hiroglifex
To solve this problem, we can use the concept of the Doppler effect. The Doppler effect describes how the frequency of a wave changes when the source of the wave and the observer are in relative motion.
In this case, we have a jet flying relative to the aircraft carrier at a certain speed. The sound waves produced by the jet will be affected by this relative motion. We need to find the frequency of the sound heard by the crew on the ship.
The general formula for the Doppler effect is:
f' = (v + vo) / (v + vs) * f
where:
- f' is the frequency heard by the observer
- f is the frequency of the source
- v is the speed of sound in the medium
- vo is the velocity of the observer relative to the medium
- vs is the velocity of the source relative to the medium
In this case, the speed of sound is given as 343 m/s. The speed of the jet relative to the water is 67.0 m/s. The speed of the aircraft carrier relative to the water is 13.0 m/s.
We can substitute these values into the formula and solve for f':
f' = (343 + 0) / (343 + 67) * 1550
Now we can calculate the value of f' to find the frequency of the sound heard by the crew on the ship.