Sonar and Sound Speed Calculation Quiz

FinestRhinoceros avatar
FinestRhinoceros
·
·
Download

Start Quiz

Study Flashcards

3 Questions

Calculate the distance of the enemy submarine given the time delay between the generation of a pulse and its echo is 80 s, and the speed of sound in water is 1460 m/s.

Let the distance be represented by d. The total time taken to receive the sound signal (forward + backward) is 2t. Given 2t = 80, the velocity of sound in water is 1460 m/s. Using the formula distance = velocity * time, we have d = 1460 * 80 / 2 = 58400 m.

Calculate the area of the circle with a radius of 3.12 m, rounding off to three significant figures.

Given that the radius of the circle is 3.12 m, we have r = 3.12 m. The area of the circle is calculated using the formula A = πr^2, where A = π * (3.12)^2 = 30.59 m^2. Rounding off to three significant figures, the area is 30.6 m^2.

Prove the dependence of the frequency of a vibrating string on the applied force (F), length (l), and mass per unit length (m).

The frequency (f) of a vibrating string is given by the equation f = (1/2l) * sqrt(F / m), where l is the length, F is the applied force, and m is the mass per unit length. This equation demonstrates the dependence of the frequency on the applied force, length, and mass per unit length.

Study Notes

Distance of Enemy Submarine

  • Time delay between pulse generation and its echo is 80 s
  • Speed of sound in water is 1460 m/s
  • Distance of enemy submarine can be calculated using the formula: Distance = Speed x Time = 1460 m/s x 80 s

Area of Circle

  • Radius of circle is 3.12 m
  • Area of circle formula: A = πr^2
  • Area of circle ≈ 3.14 x (3.12 m)^2 ≈ 30.5 m^2 (rounded to three significant figures)

Vibrating String Frequency

  • Frequency of a vibrating string depends on applied force (F), length (l), and mass per unit length (m)
  • Mathematical relationship: f ∝ √(F/lm)
  • Increasing the applied force, decreasing the length, or decreasing the mass per unit length increases the frequency of the vibrating string

Test your numerical problem-solving skills with this quiz. Solve practical problems involving sonar, sound speed in water, and distance calculations.

Make Your Own Quizzes and Flashcards

Convert your notes into interactive study material.

Get started for free

More Quizzes Like This

Sound Waves Quiz
32 questions

Sound Waves Quiz

HallowedHeliotrope avatar
HallowedHeliotrope
Sound Waves and Perception Quiz
10 questions
Sound Waves Quiz
10 questions

Sound Waves Quiz

ThumbUpExponential avatar
ThumbUpExponential
Use Quizgecko on...
Browser
Browser