Final answer:
The time it takes for an ultrasound wave to reach a bone at a depth of 4.77 cm and bounce back to the transducer is approximately 0.062 ms. By double the depth and using the speed of sound in human tissue (1540 m/s), you can calculate the travel time.
Step-by-step explanation:
To calculate how long it takes for an ultrasound wave to reach a bone 4.77 cm deep in a human body and bounce back to the transducer, we use the speed of sound through human tissues and apply the formula for distance given by distance (d) equals speed (v) times time (t).
It is given that the speed of sound through human tissues is 1540 m/s. First, we convert the depth from cm to m by dividing 4.77 cm by 100, which gives us 0.0477 m. Since the wave has to travel to the bone and back, the total distance traveled by the ultrasound wave is double the depth, which is 0.0954 m.
The time (t) taken for the ultrasound wave to travel this distance can be found using the formula t = d/v. Substituting the known values, we get t = 0.0954 m / 1540 m/s.
After calculating, the time (t) comes out to approximately 0.062 ms. This is the duration it takes for the ultrasound wave to reach the bone and return.