Assumptions - Force and Energy in Circular Motion
The applet simulates uniform and non-uniform circular motion of
a masspoint, the masspoint's velocity and acceleration, the
net force acting on the mass point, and the masspoint's kinetic
energy. Simulated also are the radial (centripetal) and
tangential components of the acceleration and force.
This is a theoretical applet that does not involve any physical
assumptions. However, some notation and terminology, some of
which may be unconventional, is explained below.
- v(0)-slider. The quantity v whose
initial value at time t = 0 can be set with this slider is
called "circle velocity" in the documentation. v(t)
is a scalar quantity equal to the speed of the mass point at time
t except for a possible minus sign. The quantity is
negative if the motion of the mass point is in the clockwise sense
(negative sense of revolution) and positive if in the
counter-clockwise sense (positive sense of revolution).
The absolute value of the circle velocity v is equal to
the particle's speed.
- dv/dt(0)-slider. The quantity
dv/dt whose initial value at time t = 0 can
be set with this slider is the time-rate-of-change of the "circle
velocity". dv/dt(t) can take on both
positive and negative values, positive if v is increasing
at time t and negative if v is decreasing.
The absolute value of dv/dt is equal to the
absolute value of the tangential component of the mass point's
acceleration and denoted atan in the applet.
- w(0)-slider. The
quantity w (Greek letter; read: omega)
whose initial value at time t = 0 can be set with this
slider is the angular velocity of the mass point. w(t) can take on both positive and
negative values, positive for counter-clockwise motion (positive
sense of revolution) and negative for clockwise motion (negative
sense of revolution).
- a(0)-slider. The quantity
a (Greek letter; read: alpha) whose
initial value at time t = 0 can be set with this slider is
called angular acceleration. It is equal to the
time-rate-of-change of the angular velocity, a = dw/dt. a(t) can take on both positive and
negative values, positive if w is
increasing at time t and negative if w is decreasing.