Circular Motion
December 8, 2016
Categorised in: 12th Physics
(1) S = rθ
(2) $w = θ/t$
(3) $α_{avg.} = {w_2 – w_1}/{t}$
(4) $\ov v$ = $\ov w$ x $\ov r$
(5) a = r α
(6) $T = {2π}/{w}$ i.e. $n = {w}/{2π} = {v}/{2π} $
(7) $F = {mv^2}/{r}$
(8) $v_{max} = √{μrg}$
(9) $v_{max} = √{rgtanθ}$
(10) $w = √{{g}/{h}} $
(11) $T = 2π √{{h}/{g}}$ or $T = 2π √{{l cosθ}/{g}} $ i.e. h = l cosθ
(12) $v_{top} = √{rg} $ ; $v_{mid} = √{3rg}$ ; $v_{bottom} = √{5rg}$ …. Vertical Circular Motion
(13) $T = {mv^2}/{r} + mgcosθ$
(14) $a_{R} = {v^2}/{r}$ … Uniform Circular Motion
$a_{R} = {T – mgcosθ}/{m}$ …. Vertical Circular Motion
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(15) $a_{T} = r α$ or $\ov a = – w^2 \ov r$ … UCM
$a_{T} = g sinθ$ …VCM
(16) $a = √{a_{R}_^2 + a_{T}_^2}$ … net
(17) v = 2πnr (w = 2πn)
(18) $F = m r w^2$
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