4. Constant velocity circular motion and centripetal acceleration / centripetal force and centrifugal force calculation formula
4. Constant velocity circular motion and centripetal acceleration / centripetal force and centrifugal force
a formula
Symbol description and unit
(1-1） Centripetal acceleration
α＝ν*⊿θ/⊿t=ν*ω*π/180 [m/s
2
]
α=
⊿θ：Slight angular displacement [rad]
⊿ｔ： A little time [s]
ν： Circumferential speed [m/s]
ω： Angular velocity [degree / s]
(1-2） Centripetal acceleration
α=r*(ω*π/180)
2
[m/s
2
]
α=
r：Radius [m]
ω：角Speed ??[degree / s]
(1-3) Centripetal acceleration
α=ν
2
/r [m/s
2
]
α=
ν： Circumferential speed [m / s]
r： Radius [m]
(2-1) Centripetal force (centrifugal force)
F=F'=W*α/g [kgf]
F=
g=9.8m/s
2
： Gravitational acceleration
F'： Centrifugal force[kgf]
F=F'
W： The weight of the object[kgf]
α： Acceleration [m / s
2
]
(2-2) Centripetal force (centrifugal force))
F=W*r*(ω*π/180)
2
/g [kgf]
F=
Gravitational acceleration: g=9.8m/s
2
W：The weight of the object [kgf]
r： Radius [m]
ω： Angular velocity [degree / s]
(2-3) Centripetal force (centrifugal force)
F=W*ν
2
/(g*r) [kgf]
F=
Gravitational acceleration: g=9.8m/s
2
W： The weight of the object [kgf]
ν： Circumferential speed [m / s]
r： Radius [m]
References: "Machine Official Collection" (co-authored by Masaaki Oishi / Tatsuo Inami) Industrial Mechanics, page 21 Constant Circular Motion and Centripetal Acceleration, page 23, Refer to Centripetal Force and Centrifugal Force.