Circular Motion Flashcards
equation for angle in radians
ang in rad = arc length/radius
equation linking ω, time and deg
ω = deg/time
equation linking ω and freq
ω = 2πf
Centripetal force
Any force that keeps a body moving along a circular path with a constant speed
What is always true for a Centripetal force?
Always perpendicular to the velocity of an object
Time period in circular motion
time, in seconds, taken for an object to travel a full circle
Equation for speed in circular motion
v=(2πr)/T=rω
What is always true for centripetal acceleration?
Always acts towards the center of the circular path
Centripetal acceleration
Acceleration of any object travelling in a circular path at a constant speed
Centripetal acceleration equation
a= v^2/r = ω^2/r
Equation for centripetal force
F=(mv^2)/r = F=mω^2r
How much work is done by an object moving in a circle? Why?
0, WD=F*D in the direction of the force
Explain why the speed of an object remains constant even though there is a resultant force F towards the center of the circle
Resultant force (F) acts at 90deg to the velocity of the object → no work is done by F → no acceleration IN THE DIRECTION OF THE MOTION
Describe how values of F and v are obtained in the rotating bung expt (5)
- Student TRIES to rotate bung at CONSTANT radius
- Force F is calculated using F = Mg. where M is mass of slotted masses
- Measure time t for n revolutions of the bung (hence calculate T for 1 revolution).
- Measure radius r when STATIONARY
- Calculate v using (2πrn) /t or (2πr)/T
How to determine mass of an object (circular motion) from F-v^2 graph
Gradient m/r → * by radius