circ mot

Uniform Circular Motion

Uniform Circular Motion

Constant Speed in a Circular Path

Is circular motion a form of accelerated motion?

yes

What causes acceleration

force

How do you change an object’s direction without changing its speed?

Use a force that acts perpendicularly to the direction of its velocity

To make an object move with uniform circular motion, the net force must always be directed toward the ___

center of the circle (inward)

Centripetal Force

Any force that acts inward

+velocity

+inward force

+mass

+Inward force

+ radius

• inward force

FC=

mv^2/r

AC=

v^2/r

Period (T)

time it takes to complete one revolution

Units: s

r = 1/f

Frequency (f)

the number of revolutions made per unit of time

Units: rev/s

f = 1/r

Object’s linear speed (v) =

v = 2pir/T or v = 2pirf

FT =

mv^2/r

#g’s =

FN/FW or v^2/r/g

v(using g’s) =

root(#g**r**g)

FC required =

FSMAX =

mv^2/r

umg

What effect does a vehicle’s mass have on its ability to turn?

No effect

radius +

max speed +

u +

max speed +

speed +

min radius +

u +

min radius -

radius +

u -

velocity +

u +

As an object spins faster

horizontal component of tension +

vertical component always mg

angle +

Tsintheta =

Tcostheta =

tantheta =

mv^2/r

mg

v^2/rg or Fx/Fy

v (banked turn) =

root(rgtantheta)