V = √gr
> feel more normal force (n)
net force = mg + n = Fa
n = (mVt²/r) - mg
Back
G
Front
6.67 x 10^-11
Back
Circular motion of an object connected to a string
Front
The reason for circular motion is the string
> Fc = T * trig identity
Back
Force of attraction
Front
Fg = G x (m x M/d²)
m = satellite
M = planet
d (or r) = distance between them (altitude + radius of planet)
> free-fall acceleration at surface of planet
g = GM/d² > d is distance to center of planet (r)
Back
speed in a circle
Front
V = 2πr/t (period of time for loop)
Back
T (Tension in string)
Front
reason for circular motion is string, that tension (= Fc)
T = (mVt/r) + mg
Back
car on banked road, smooth (no friction) making turn
Front
Ft = (n)(trig identity)
> normal force (n) component gives direction for turn
> the reason for circular motion is road
Back
Car on rough road, making turn
Front
Fc = f static
> without friction, the car would experience tangental velocity (keep going in straight line)
> the static friction prevents from sliding off road
> static friction force points toward center
Back
Fc (centripetal force)
Front
a force that acts on a body moving in a circular path and is directed toward the center around which the body is moving
> a force that causes an object to move in a circle
(F net)
Fc = (m)(ac) = mVt²/r
Back
body is airborne
Front
g = Vt²/r
> gravity keeps it moving in a circle
Back
orbital period
Front
T = 2π√r/g
Back
At bottom of rollercoaster (right-side up)
Front
net force = n - mg
n more than w --> n = Fnet --> net force towards center
mVt²/r = n - mg
n = (mVt²/r) + mg
Back
orbital speed
Front
V = √GM/r
> M is mass of planet (central body), so mass of satellite doesn't affect its own velocity
> the orbital speed of a satellite around a planet depends on the radius of its orbit
T = distance/V
T = 2πr/(√GM/r)
Back
Vt (tangental velocity)
Front
is the linear speed of something moving along a circular path
Back
ω (angular speed)
Front
V = ωr
Vt = 2πr/t (circumference over time of one revolution)
Back
f (frequency)
Front
1 / t
V = 2πr/t
Back
ac (centripetal acceleration)
Front
acceleration of an object toward the center of a curved or circular path
ac = V²/r
a = ΔV/Δt
a = T - w / m
> an object wants to accelerate whenever it goes in a circle
> net force producing the centripetal acceleration of uniform circular motion