What is the beat frequence in Hz of ultrasound

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The beat frequency of ultrasound reflected from a bloodstream moving at 30 cm/s with an original frequency of 2.5 MHz is calculated using the Doppler effect. The velocity of sound in blood is 1540 m/s, and the wavelength is determined to be 0.000616 m. By applying the beat frequency formula, the calculation yields a beat frequency of approximately 487.8 Hz. This demonstrates how the movement of the bloodstream affects the frequency of the reflected ultrasound. The final result indicates the interaction between the original frequency and the Doppler-shifted frequency.
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Ultrasound reflected from an oncoming bloodstream that is moving at a 30 cm/s is mixed with the original frequency of 2.5 MHz to produce beats. What is the beat frequency in Hz? (Velocity of sound in blood = 1540 m/s.)
 
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confused1 said:
Ultrasound reflected from an oncoming bloodstream that is moving at a 30 cm/s is mixed with the original frequency of 2.5 MHz to produce beats. What is the beat frequency in Hz? (Velocity of sound in blood = 1540 m/s.)

Find the frequency of the reflected wave using the "doppler effect" equation. Remember that the bloodstream is moving towards the observer.

Then use the beat equation with the two frequencies (2.5MHz and what you get above using doppler).

Careful with your units.
 


The beat frequency in Hz can be calculated using the formula:
beat frequency (Hz) = | velocity of sound (m/s) | / wavelength (m)

First, we need to convert the velocity of the bloodstream from cm/s to m/s:
30 cm/s = 0.3 m/s

Next, we can calculate the wavelength using the formula:
wavelength (m) = velocity of sound (m/s) / frequency (Hz)

Since we know the velocity of sound in blood is 1540 m/s and the frequency is 2.5 MHz, we can solve for the wavelength:
wavelength (m) = 1540 m/s / 2.5 MHz
= 0.000616 m

Now, we can plug in the values into the formula for beat frequency:
beat frequency (Hz) = | 0.3 m/s | / 0.000616 m
= 487.8 Hz

Therefore, the beat frequency in Hz of ultrasound reflected from an oncoming bloodstream moving at 30 cm/s with an original frequency of 2.5 MHz is 487.8 Hz.
 
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