Solving Omega in Angular Velocity Equations: A Test Prep for Sarah

[sarahowen]

we are just about to take a test in physis.. I am quite scared. i have revised on all the topics required but i don't get the use of omega in angular velocity equations. what is the equation and when do i need to use it?
sarah

 

[futb0l]

well - u can take ur normal kinematics equation and replace v with omega.
like...

$$\theta = \theta_0 + \omega t + \alpha t$$

alpha is the angular acceleration.

 

[briton]

Just learn

v=rw

w= 2.pi.f = 2.pi / T

f = 1/T =w / 2.pi

a = v^2/r = rw^2

F=mv^2/r = mrw^2

 

[prasanna]

Replace v by $$\omega$$

a by $$\alpha$$

and x by $$\theta$$

in your kinematics equations to get the rotational equations!

$$\omega = \omega_0 + \alpha t$$
$$\theta = \theta_0 + \omega_0 t + \frac{1}{2}\alpha t^2$$
$$\omega^2 = \omega_0^2 + 2\alpha\theta$$

And the Equations posted by Briton are also very important