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Physics chapter 2
Circular Motion
Term | Definition |
---|---|
angle at the centre of a circle (rads) (θ) | = arc length(s) / radius of arc(r) |
Radians in a full circle | 2π |
rotational frequency (Hz) | no. of turns in a given time (revs per min - rpm) =1/T |
angular speed (w) (rads-1) | angle turned through in one sec =2πf or 2π/T =linear speed(v) / radius |
linear speed (v) (m.s-1) | distance covered per unit time =radius(r) x angular speed(w) |
centripetal acceleration(m.s-2) | acceleration in a circle, directed towards the middle =radius(r) x angular speed(w)^2 =linear speed(v)^2 / radius(r) |
centripetal force(N) | is the resultant force =mass x velocity^2 / radius =mass x radius x angular speed(w)^2 |
centripetal force | -increases with mass -increases with square of speed -decreases as radius increases |
period (T) | seconds for one revolution =1/f |
linear displacement(s) (metres) | distance traveled along circle =angular displacement(θ) x radius |
angular displacement(θ) (rads) | angle traveled through =2π x t / period(T) =angular speed(w) x t |
rads into degrees | 180/π x rad answer |
weight of object in circular motion | =mass x acceleration(centripetal) |
centripetal force in circle | make an equation of forces e.g = tension - weight |