Physics Equations

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Author:
Nelikya
ID:
255050
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Physics Equations
Updated:
2014-01-03 17:26:02
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  1. Pressure (pascals) =
    • Force (Newtons)
    • ______________
    • area (cm²)
  2. Relationship between frequency and period
    they are reciprocals

    Period(s) = 1/frequency(Hz)

    Frequency(Hz) = 1/period(s)
  3. frequency x period =
    1
  4. Relationship between power and amplitude
    Power (W) = Amplitude² (dB²)
  5. Intensity (W/cm2)=
    • Power (W)
    • _______________
    • beam area (cm2)
  6. Wavelength (mm) =
    • Propagation Speed (mm/μs)
    • ________________________________
    • frequency (MHz)
  7. Wavelength in Soft Tissue =
    • 1.54 mm/μs
    • _______________
    • frequency (MHz)
  8. Speed (m/s)=
    frequency (Hz) x Wavelength (m)
  9. Pulse duration (μsec)=
    cycles in a pulse x period (μsec)
  10. Pulse duration (μsec) =
    • # of cycles in a pulse
    • __________________
    • frequency (MHz)
  11. PRP x PRF =
    1
  12. Relationship between Pulse Repetition Period (sec) and Pulse Repetition Frequency (Hz)
    Reciprocals.

    • PRP = 1/PRF
    • PRF = 1/PRP
  13. Duty Factor(%) =
    • Pulse Duration (msec)
    • _________________________ x 100
    • Pulse Repetition Period (msec)
  14. Spatial Pulse Length (mm) =
    # of cycles x wavelength (mm)
  15. Total Attenuation (dB) =
    path length (cm) x attenuation coefficient (dB/cm)
  16. Impedance (Rayls) =
    Density (kg/cm3) x propagation speed (m/s)
  17. Incident Intensity (dB/cm2) =
    reflected intensity + transmitted intensity
  18. Intensity reflection coefficient (%) =
    • Z- Z1
    • (________ ) 2     OR
    •     Z+ Z1

    [(Z2-Z1)/ (Z2+Z1)]2
  19. Incident transmission coefficient (%) =
    • Transmitted Intensity
    • __________________ x 100
    • Incident Intensity
  20. Intensity Transmission Coefficient (%) =
    100% - Intensity Reflection Coefficient
  21. Transmitted Intensity =
    Incident Intensity x Intensity Transmission Coefficient
  22. Snell's Law:
    • sin (angle of transmission)      propg. speed 2
    • _____________________  =  ______________
    • sin (angle of incidence)           propg. speed 1
  23. Frequency (Hz) =
    attenuation coefficient x 2
  24. distance to boundary (mm) =
    • go-return time (μs) x speed (mm/μs)
    • ________________________________
    • 2
  25. Bandwidth =
    Maximum Frequency - Minimum Frequency
  26. Quality Factor =
    • resonant frequency (MHz)
    • ______________________
    • bandwidth (MHz)
  27. Frequency of a Pulsed Transducer (MHz) =
    • material's propagation speed (mm/μs)
    • ________________________________
    • 2x thickness (mm)
  28. Attenuation coefficient (dB/cm2)=
    1/2 Frequency (MHz)
  29. To find the depth or time of flight in soft tissue:
    • depth = 1.54 (mm/μs) x go-return time (μs)
    •             _____________________________
    •                        2
  30. Pulse Repetition Period in soft tissue (μs) =
    imaging depth (cm) x 13(μs/cm)
  31. Pulse Repetition Frequency in soft tissue (Hz) =
    • 77,000 (cm/s)
    • _________________
    • imaging depth (cm)
  32. Time of flight (μs) =
    depth (cm) x 13μs
  33. Axial Resolution (mm) =
    • spatial pulse length (mm)
    • ______________________
    •     2
  34. Axial Resolution (mm) =
    • 0.77 x # of cycles in pulse
    • ______________________
    • frequency (MHz)
  35. Frame Rate =
    • 1
    • __
    • T
  36. Tx Frame Rate =
    1

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