What frequency is monitored by the leading ship?

  • Thread starter Thread starter jpnnngtn
  • Start date Start date
  • Tags Tags
    Frequency Ship
Click For Summary
SUMMARY

The discussion centers on calculating the frequency of a sonar signal as monitored by a leading ship, given the speeds of two ships and the ocean current. The trailing ship travels at 64.0 km/h, while the leading ship moves at 45.0 km/h, both relative to a land-based observation point. The ocean current flows at 10.0 km/h westward, affecting the effective speeds of the ships to 74 km/h and 55 km/h, respectively. The Doppler effect is the key principle to apply for determining the frequency shift experienced by the leading ship, which receives a sonar signal transmitted at 1200 Hz by the trailing ship.

PREREQUISITES
  • Doppler effect principles
  • Speed of sound in water (1520 m/s)
  • Relative velocity calculations
  • Basic sonar signal transmission concepts
NEXT STEPS
  • Study the Doppler effect in detail, focusing on sound waves in moving mediums.
  • Calculate frequency shifts using the formula for the Doppler effect with moving sources and observers.
  • Explore relative velocity concepts in fluid dynamics.
  • Investigate sonar technology and its applications in maritime navigation.
USEFUL FOR

Marine engineers, physicists, and students studying acoustics or maritime navigation will benefit from this discussion, particularly those interested in the practical applications of the Doppler effect in sonar technology.

jpnnngtn
This problem here is rather tough (to me). Perhaps you can help:

Two ships are moving along a line due east. The trailing vessel has a speed of 64.0 km/h relative to a land based observation point, and the leading ship has a speed of 45.0 km/h relative to the same station. The two ships are in a region of the ocean where the current is moving uniformly due west at 10.0 km/h. The trailing ship transmits a sonar signal at a frequency of 1200 Hz. What frequency is monitored by the leading ship? (Use 1520 m/s as the speed of sound in the ocean)
 
Physics news on Phys.org
Hi,

As per Forums policy, I need you to show me how you started and where you got stuck.

Thanks,
 
Hi jpnnngtn,
you have probably already found out that the ships' speeds relative to the medium are 74 km/h and 55 km/h respectively. I think you should look up 'Doppler effect' in your script/book, and see where that gets you. If you are still stuck, then please tell us what the difficulty is.
 
I stayed up and solved this one last night. I think i just needed to take a break and come back to it later.
 

Similar threads

To find the closest approach of two ships
  • · Replies 2 ·
Replies
2
Views
3K
The closest approach of two ships
  • · Replies 4 ·
Replies
4
Views
1K
Relative velocity ship problem intuitively
  • · Replies 3 ·
Replies
3
Views
3K
Will the Coastguard's Intervention Prevent a Ship Collision?
  • · Replies 12 ·
Replies
12
Views
7K
To find the time for which a vessel is within range of these guns
  • · Replies 4 ·
Replies
4
Views
1K
Writing: Input Wanted Generation Ship SFV Exodus: Revised Designs
  • · Replies 52 ·
2
Replies
52
Views
7K
Magnitude and direction of ship relative to ground
  • · Replies 1 ·
Replies
1
Views
2K
What is the Velocity of the Second Ship Relative to the First Ship?
  • · Replies 2 ·
Replies
2
Views
2K
What Direction Should Ship A Steer to Minimize Distance to Ship B?
  • · Replies 5 ·
Replies
5
Views
2K
When Will Ships P & Q Be Closest to Each Other?
  • · Replies 5 ·
Replies
5
Views
2K