Exam 2 Notecard - 8.3 Area and Arc Length q in polar 2 2 =...

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8.3 Area and Arc Length in polar cartesian (x,y) polar (r, ) cartesian to polar polar to cartesian Area of sector = If , with then: area of region = -----------------^ arc length = 8.4 Density and Center of Mass total mass = moment = mass*displacement from pivot area(or volume) of strip = 8.5 Applications of Physics Work = force* distance force distance work newton(nt) meter(m) joule(j) pound(lb) feet(ft) foot- pound(ft-lb) x = r cos( q ) y = r sin( q ) r = x 2 + y 2 tan( q )= y / x q 0.5 r 2 q r = f ( q ) f ( q ) і 0 1 2 f ( q ) 2 dq a b т dx d q ж и з ц ш ч 2 + dy dq ж и з ц ш ч 2 dq