How can I find the Kinetic Energy of an element based system?
The system has 5 elements, each element has different kinetic energy.
Some of the elements may have rotational movement at one end and different rectilinear motion at the other end. How can I combined the two?
add them up. energy is a scalar, so it adds easily.
Kinetic Energy in J if m is in kg and V is in m/s
KE = ½mV²
Angular kinetic energy K in Joules
K = ½Iω²
ω is angular velocity in radians/sec
I is moment of inertia
I = cMR²
M is mass, R is radius
c = 1 for a ring or cylinder
c = 2/5 solid sphere
C = 1/2 solid cylinder or disk around its center
.
December 17th, 2009 at 2:40 am
add them up. energy is a scalar, so it adds easily.
Kinetic Energy in J if m is in kg and V is in m/s
KE = ½mV²
Angular kinetic energy K in Joules
K = ½Iω²
ω is angular velocity in radians/sec
I is moment of inertia
I = cMR²
M is mass, R is radius
c = 1 for a ring or cylinder
c = 2/5 solid sphere
C = 1/2 solid cylinder or disk around its center
.
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