Accurately Measuring the Moment of Inertia of Rigid Body Based on Smartphone Sensor and Phyphox Software

Table 1. [in Chinese]
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Table 1. [in Chinese]
$β_{1} / (rad \cdot s^{- 2})$ $\bar{β_{1}} / (rad \cdot s^{- 2})$ $β_{2} / (rad \cdot s^{- 2})$ $\bar{β_{2}} / (rad \cdot s^{- 2})$ $I_{1}$ × $10^{- 3}$ /（kg·m²）
−0.3166 −0.3186 2.2298 2.2289 7.0987
−0.3193 2.2272
−0.3199 2.2297

Table 2. [in Chinese]

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Table 2. [in Chinese]

$β_{3}$ / $(rad \cdot s^{- 2})$	$\bar{β_{3}}$ / $(rad \cdot s^{- 2}$ ）	$β_{4}$ / $(rad \cdot s^{- 2})$	$\bar{β_{4}}$ / $(rad \cdot s^{- 2})$	$I_{2}$ × $10^{- 3}$ /（kg·m²）	$I$ × $10^{- 3}$ /（kg·m²）	$I_{圆环, 理}^{*}$ × $10^{- 3}$ /（kg·m²）	相对误差
−0.1671	−0.1678	1.2994	1.3073	12.5904	5.4917	5.5986	1.91%
−0.1682		1.3095
−0.1653		1.3130

Table 3. [in Chinese]

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Table 3. [in Chinese]

状态	$β_{5}$ / $(rad \cdot s^{- 2})$	$\bar{β_{5}}$ / $(rad \cdot s^{- 2})$	$β_{6}$ / $(rad \cdot s^{- 2})$	$\bar{β_{6}}$ / $(rad \cdot s^{- 2})$	$I_{2}$ × $10^{- 3}$ /（kg·m²）	$I$ × $10^{- 3}$ /（kg·m²）	相对差值^*
初状态	−0.2289	−0.2286	1.9840	1.9882	8.1465	1.0478	0.94%
	−0.2294		1.9996
	−0.2276		1.9810
末状态	−0.1784	−0.1770	1.5429	1.5415	10.8422	3.7435
	−0.1763		1.5441
	−0.1762		1.5376

Table 4. [in Chinese]

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Table 4. [in Chinese]

匀减速						匀加速					转动惯量
	$K_{m}$	$t_{m} / s$	$K_{n}$	$t_{n} / s$	$β_{1}$ / $(rad \cdot s^{- 2})$	$K_{m}$	$t_{m} / s$	$K_{n}$	$t_{n} / s$	$β_{2}$ / $(rad \cdot s^{- 2})$	$I^{*} \times 10^{- 3} (kg \cdot m^{2})$
空盘	3	1.1968	6	2.4214	−0.1476	3	1.8273	6	2.9419	2.2409
	4	1.6015	7	2.8368	−0.1529	4	2.2364	7	3.2711	2.1326	7.9070
	5	2.0102	8	3.2551	−0.1495	5	2.6497	8	3.6023	2.2006	7.9070
圆环	3	1.9198	6	3.8990	−0.0755	3	2.4416	6	3.9321	1.2522
	4	2.5733	7	4.5711	−0.0725	4	2.9960	7	4.3571	1.2524	13.8260
	5	3.2323	8	5.2512	−0.0729	5	3.4961	8	4.7599	1.2450

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Zisong HE, Mengge JIAO, Yihang JIANG, Jiancheng ZHOU, Yanlian LEI, Weiyao JIA, Qiaoming ZHANG. Accurately Measuring the Moment of Inertia of Rigid Body Based on Smartphone Sensor and Phyphox Software[J]. Experiment Science and Technology, 2023, 21(4): 32

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