Question

Задача № 3. Предлагается два прибора,первый класса точности 0,5 и номинальным значением шкалы 300, второй класса точности 1,5 и номинальным значением 100. Какой из приборов даст наибольшую точность измерения величины 80. Пояснить расчётом.​

Answer 1

Ответ:

абсолютная погрешность прибора не более (30В*0,5)/100=0,15В относительная погрешность для 5В. 0,15В/5В=0,03=3% 10В. 0,15В/10В=0,015=1,5% 30В. 0,15В/30В=0,005=0,5%

Answer 2

Problem Analysis

The problem states that there are two instruments: one with a precision class of 0.5 and a nominal scale value of 300, and the other with a precision class of 1.5 and a nominal scale value of 100. We need to determine which instrument will provide the highest measurement accuracy for a value of 80.

Solution

To determine which instrument will provide the highest measurement accuracy for a value of 80, we need to calculate the absolute error for each instrument.

The absolute error can be calculated using the formula:

Absolute Error = |Measured Value - True Value|

For the first instrument with a precision class of 0.5 and a nominal scale value of 300, the absolute error can be calculated as:

Absolute Error = |80 - 300| = 220

For the second instrument with a precision class of 1.5 and a nominal scale value of 100, the absolute error can be calculated as:

Absolute Error = |80 - 100| = 20

Comparing the absolute errors, we can see that the second instrument with a precision class of 1.5 and a nominal scale value of 100 will provide a higher measurement accuracy for a value of 80, as the absolute error is smaller.

Therefore, the second instrument will give the highest measurement accuracy for a value of 80.

Conclusion

The second instrument with a precision class of 1.5 and a nominal scale value of 100 will provide the highest measurement accuracy for a value of 80, as it has a smaller absolute error compared to the first instrument with a precision class of 0.5 and a nominal scale value of 300.

Please note that the calculations provided above are based on the information given in the problem statement and do not take into account any additional factors or considerations.