Solution of after-class exercises in engineering physics experiment

Reference answers to some exercises in physical experiments:

First, the topic:

1. Correcting errors according to error theory and effective digital operation rules;

⑴

⑵

⑶

⑷

⑸

⑹

⑺

3. Calculate the following types according to the effective digital operation rules:

⑴

⑵

⑶

⑷

⑸

⑹

⑺

⑻

5. Calculate the arithmetic mean, standard deviation and standard deviation of the average of the following data, and correctly represent the measurement results (including calculating the relative error).

⑴ :3.4298,3.4256,3.4278,3.4 190,3.4262,3.4234,3.4263,3.4242,3.4272,3.42 16;

⑵ : 1.35, 1.26, 1.38, 1.33, 1.30, 1.29, 1.33, 1.32, 1.32, 1.34, 1.29, 1.36;

⑶ :2 1.38,2 1.37,2 1.37,2 1.38,2 1.39,2 1.35,2 1.36。

6. Calculate the error expression of the following function by arithmetic synthesis (all unknowns at the right end of the equation are directly measured quantities, which can be absolute errors or relative errors).

⑴ ; (2), which is a constant;

⑶ ; ⑷ , ();

⑸ ; ⑹ ;

Used to be a constant; ⑻ 。

7. Correct the mistakes in the standard deviation transfer formula.

⑴ , ;

(2), which is a constant;

③ is a constant.

8. Calculate the following results and errors by arithmetic synthesis.

⑴ ,

,,;

2, ask?

⑶,,,;

9. Measure the thickness of the object 10 times (indicating error) with a first-class micrometer. The data are: 14.298, 14.256, 14.278, 14.290,/kloc-0. Estimate the error with standard deviation and correctly express the measurement results.

10. It is relevant to measure the acceleration of gravity with a simple pendulum when the pendulum angle is small. Where is the pendulum length and period, and their measurement results are respectively. Find the acceleration of gravity and its uncertainty, and write the expression of the result.

1 1. Know the outer diameter, inner diameter, height, calculated volume and its uncertainty of a hollow cylinder, and correctly express the measurement results.

Second, reference answers to some exercises (March 2007 12)

1、

( 1)

(2)

(3)

(4)

(5) 2

(6) . 1

(7)

3、

( 1)343.37+75.8+0.6386=4 19.8

(2)88.45-8. 180-76.54=3.73

(3)

(The order of magnitude of the last digit in the three numbers of addition and subtraction is the highest, and the suspicious digit of the calculated value is aligned with it. )

(4)

(5)

(6)

(7)

(8)

5、

( 1)

= 0.003 cm

Measurement results:

(2)

=0.032 second = 0.03 second

Measurement results: