第6章円運動と回転運動Circular and Rotational Motion原書 p.205–234

Key Equations重要な式

6.1 Angle of Rotation and Angular Velocity6.1 回転角と角速度

Angle of rotation

Δ θ = \frac{Δ s}{r}

Angular speed:

ω = \frac{Δ θ}{Δ t}

Tangential speed:

v = r ω

Centripetal acceleration $a_{c} = \frac{v^{2}}{r} or a_{c} = r ω^{2}$

向心加速度 $a_{c} = \frac{v^{2}}{r} or a_{c} = r ω^{2}$

Centripetal force $F_{c} = m a_{c}, F_{c} = m \frac{v^{2}}{r}, F_{c} = m r ω^{2}$

向心力 $F_{c} = m a_{c}, F_{c} = m \frac{v^{2}}{r}, F_{c} = m r ω^{2}$

Constant angular velocity

一定の角速度

Angular acceleration

角加速度

α = \frac{Δ ω}{Δ t}

Constant angular acceleration

一定の角加速度

Rotational kinematic equations

回転の運動学の式

Tangential (linear) acceleration

接線(直線)加速度

Torque

トルク

a = r α

τ = r F \sin θ