An ultrasound transducer used to measure the speed of blood cells is oriented at an angle of 45 degrees to the direction of the blood flow. if the frequency of the sound emitted by the transducer is 1.5 Mhz and the doppler shift is 268Hz, calculate the speed of blood cells. Take the speed of the sound in the blood as 1572 m/s. (please show how u did it :)
v=c•Δf/2•f•cosθ=
=1572•268/2•1.5•10^6•cos45 =0.2 m/s
To calculate the speed of the blood cells using the given information, we can use the Doppler equation:
Doppler shift (Δf) = (2 * velocity of blood cells * frequency of sound) / speed of sound in blood
From the given information:
Frequency of sound emitted by the transducer (f) = 1.5 MHz = 1.5 * 10^6 Hz
Doppler shift (Δf) = 268 Hz
Speed of sound in blood (v) = 1572 m/s
Let's substitute these values into the equation and solve for the velocity of blood cells:
268 Hz = (2 * velocity of blood cells * 1.5 * 10^6 Hz) / 1572 m/s
Now, we can rearrange the equation to solve for the velocity of blood cells:
velocity of blood cells = (268 Hz * 1572 m/s) / (2 * 1.5 * 10^6 Hz)
velocity of blood cells = 0.140056 m/s
Therefore, the speed of the blood cells is approximately 0.140056 m/s.