If someone could even just answer abcd and Part 1 that would

If someone could even just answer a,b,c,d and Part 1 that would be amazing!

An ultrasonic transducer was tested as a distance sensor over its full working range in steps of 40cm, and the data recorded is shown in table 1. The measurements are time delays in microseconds (mu s). Assuming the speed of the ultrasonic wave as 339ms\'1, determine the following Desired output (two decimal places in us) The accuracy as a percentage of the full-scale output span The accuracy as a percentage of the reading The absolute accuracy (or absolute error) Explain the underlying principal behind the operation of ultrasonic transducers. Write a MATLAB programme producing the answers to b), c) and d) above to a generic data input. The programme should ask for the number of data points (i,e. 8 in the example above) and then reads in all the necessary data. The user friendliness, ease of use, accuracy in the output will be considered in marking the programme. Clearly indicate the specific answers to the b), c) and d) above for this part - including the programme is not sufficient. This part will purely look at the answers. Excel based or manual calculations may be used for this in case Part 2 is not answered

Solution

From the data we came to know that in 1 second the ultrasonic wave travels for 339 meters .

From which we can measure distance travel in 1 micro second i.e, equal to 3.39*10^-4 meters or 0.0339 centimeters.

Time reqired to travel a distance D by this ultrasonic wave is given by T = 2D/0.0339 . Ultrasonic sensor sends ultrasonic wave and need to receive it to measure the distance. The distance travelled by wave is 2*D .

a)

Actual Output (micro second)

Desired Output   (micro second)

d) The absolute accuracy (or absolute error)

Absolute error = Desired Output - Measured Output

Actual Output (micro second)

Desired Output   (micro second)

c) Accuracy as percentage of reading

= (Desired Output - Measured Output / (Desired Output) ) *100

Actual Output (micro second)

Desired Output   (micro second)

b) Accuracy as percentage of full scale output span

= (Absolute error/Desired Full scale value)* 100

Actual Output (micro second)

Desired Output   (micro second)

Part A :

Ultrasonic transducer : Ultrasonic transducers convert ultrasound waves to electrical signals which acts as transmitter and receiver. The time taken by echo to reach the receive will give distance between the target location and transducer position.

Test distance (centimeter)	Actual Output (micro second)	Desired Output   (micro second)
0	0	0
40	2416.67	2359.88
80	4764.56	4719.76
120	7110.44	7079.64
160	9462.05	9439.52
200	11824.12	11799.41
240	14177.11	14159.29
280	16530.78	16519.17