An ultrasonic motion sensor sends very short pulses for ultrasound to measure the distance to an object . The sensor cannot send another pulse until the echo form the previous pulse is detected. What is the maximum possible number of individual measurements per second if the distance turns out to be 1.50m? The velocity of ultrasound waves is equal to 344m/s.
The signal has to make a return trip, so the total distance is 2*1.5=3m
Number of round trips per second
= 344/3
= 114.7
To find the maximum possible number of individual measurements per second, we need to calculate the time it takes for each measurement.
The ultrasonic motion sensor sends a pulse and waits for the echo to be detected before sending another pulse. This means that the time between sending a pulse and receiving the echo is the time it takes for the measurement.
To calculate the time it takes for a measurement, we divide the distance by the velocity of ultrasound waves:
Time = Distance / Velocity
In this case, the distance is given as 1.50m and the velocity of ultrasound waves is 344m/s.
Time = 1.50m / 344m/s
= 0.00436 seconds
So, each measurement takes approximately 0.00436 seconds.
To find the maximum possible number of individual measurements per second, we can take the reciprocal of the time it takes for each measurement:
Maximum Measurements per Second = 1 / Time
Maximum Measurements per Second = 1 / 0.00436
≈ 229.36 measurements per second
Therefore, the maximum possible number of individual measurements per second is approximately 229.36.