Rotational motion Flashcards
Equation for velocity involving angular velocity?
V=r x omega
Equation for acceleration involving angular acceleration?
a=r x alpha
Equation for angular momentum?
L=Ixomega
Equation for torque?
tau=I x alpha
Equation for rotational kinetic energy?
KE=1/2 x I x omega^2
Can we compare linear suvat to rotation?
Yes. S = x, U = omega_0, V = omega, a = alpha, t=t
Rotational work?
Integral of tau x dtheta
Rotational power?
P = tau x omega
When is angular momentum is conserved?
If there is no torque. Occurs when r and F are parallel
Another equation for torque involving AM?
tau = dL/dt
What happens when a pulley has mass?
The tension (T1-T2) generated a torque and torque needs to be considered in calculation of fricition
When does the magnitude of L change?
When torque has a component parallel to L
When does the direction of L change?
When torque has a component perpendicular to L
Angular momentum when object is translating and rotating?
L = (Rxp) + (Sum of r’ x p’)
Kinetic energy when an object is translating and rotating?
KE = 1/2Mv^2+1/2I0omega^2