Song | Such a ship |
Artist | DR1N0 |
Album | Such a ship |
Download | Image LRC TXT |
作词 : 无 | |
作曲 : DR1N0 | |
Here are some important definitions. | |
这些是定义。 | |
Displacement: | |
位移: | |
R=Re^jθ | |
All particles of a body move in parallel planes and travel by same distance is known as linear displacement. | |
物体所有粒子在平行的平面内移动相同距离称为线位移。 | |
A body rotating about a fixed point in such a way that all particles move in circular path is known as angular displacement. | |
物体和它所有的粒子绕固定点沿圆周路径移动称为角位移。 | |
If we take the first order derivative of the displacement equation, we get: | |
位移方程对时间求一阶导数得: | |
d/dt(Re^jθ)=R'e^jθ+Re^(jθ)jθ'=R'e^jθ+Rθ'je^jθ | |
The angular velocity | |
角速度 | |
w=dθ/dt. | |
The linear velocity | |
线速度 | |
v=dR/dt. | |
Acceleration, the rate of change of velocity. | |
加速度是速度的变化率。 | |
Now we take the second order derivative of the displacement equation, we get: | |
位移方程对时间求二阶导数得: | |
d^2/dt^2(Re^jθ)=R''e^jθ+R'θ'je^(jθ)+(Rθ''+R'θ')je^jθ+Rθ'je^(jθ)jθ'=R''e^jθ+2θ'R'je^jθ+θ''Rje^jθ-R(θ'^2)e^jθ | |
The angular acceleration | |
角加速度 | |
α=θ''=dw/dt | |
The linear acceleration | |
线加速度 | |
a=R''=dv/dt | |
Here's a simple case. | |
举个栗子。 |
zuo ci : wu | |
zuo qu : DR1N0 | |
Here are some important definitions. | |
zhei xie shi ding yi. | |
Displacement: | |
wei yi: | |
R Re j | |
All particles of a body move in parallel planes and travel by same distance is known as linear displacement. | |
wu ti suo you li zi zai ping xing de ping mian nei yi dong xiang tong ju li cheng wei xian wei yi. | |
A body rotating about a fixed point in such a way that all particles move in circular path is known as angular displacement. | |
wu ti he ta suo you de li zi rao gu ding dian yan yuan zhou lu jing yi dong cheng wei jiao wei yi. | |
If we take the first order derivative of the displacement equation, we get: | |
wei yi fang cheng dui shi jian qiu yi jie dao shu de: | |
d dt Re j R' e j Re j j' R' e j R' je j | |
The angular velocity | |
jiao su du | |
w d dt. | |
The linear velocity | |
xian su du | |
v dR dt. | |
Acceleration, the rate of change of velocity. | |
jia su du shi su du de bian hua lv. | |
Now we take the second order derivative of the displacement equation, we get: | |
wei yi fang cheng dui shi jian qiu er jie dao shu de: | |
d 2 dt 2 Re j R'' e j R'' je j R'' R'' je j R' je j j' R'' e j 2' R' je j'' Rje j R' 2 e j | |
The angular acceleration | |
jiao jia su du | |
'' dw dt | |
The linear acceleration | |
xian jia su du | |
a R'' dv dt | |
Here' s a simple case. | |
ju ge li zi. |
zuò cí : wú | |
zuò qǔ : DR1N0 | |
Here are some important definitions. | |
zhèi xiē shì dìng yì. | |
Displacement: | |
wèi yí: | |
R Re j | |
All particles of a body move in parallel planes and travel by same distance is known as linear displacement. | |
wù tǐ suǒ yǒu lì zǐ zài píng xíng de píng miàn nèi yí dòng xiāng tóng jù lí chēng wéi xiàn wèi yí. | |
A body rotating about a fixed point in such a way that all particles move in circular path is known as angular displacement. | |
wù tǐ hé tā suǒ yǒu de lì zǐ rào gù dìng diǎn yán yuán zhōu lù jìng yí dòng chēng wéi jiǎo wèi yí. | |
If we take the first order derivative of the displacement equation, we get: | |
wèi yí fāng chéng duì shí jiān qiú yī jiē dǎo shù dé: | |
d dt Re j R' e j Re j j' R' e j R' je j | |
The angular velocity | |
jiǎo sù dù | |
w d dt. | |
The linear velocity | |
xiàn sù dù | |
v dR dt. | |
Acceleration, the rate of change of velocity. | |
jiā sù dù shì sù dù de biàn huà lǜ. | |
Now we take the second order derivative of the displacement equation, we get: | |
wèi yí fāng chéng duì shí jiān qiú èr jiē dǎo shù dé: | |
d 2 dt 2 Re j R'' e j R'' je j R'' R'' je j R' je j j' R'' e j 2' R' je j'' Rje j R' 2 e j | |
The angular acceleration | |
jiǎo jiā sù dù | |
'' dw dt | |
The linear acceleration | |
xiàn jiā sù dù | |
a R'' dv dt | |
Here' s a simple case. | |
jǔ gè lì zi. |