U5 Flashcards
Find Angular Displacement
Change in theta (final - inital)
find angular velocity
average ω
change in theta/ change in times
what unit is ω and what does it stand for
radians / second
angular velocity
angular acceleration (big a)
change in ω / change in time
if we have an angular position (theta) vs time graph what can we find?
the slope tells us the angular velocity
if we have an angular velocity vs time graph what can we find/
the slope tell us the angular acceleration and the area is the angular displacement
What is rotational inertia defined
the higher the rotational inertia the harder it is to get an object to stop and go
does a solid sphere have low or high rotational inertia and why
A low rational inertia
this is because the center of mass is confined within one point, not spread out.
what is tangential speed
linear component of circular motion
τ equation and units
τ = Ia n*m
Kinetic enegy angular and unit
1/2 I w^2 in Joules
angular work and its unit
Delta τ times theta in Joules
Angular Momentum and it’s unit
L=I times w in Kg*m^2/s
angular power and it’s units
τw in Watts
how many radians is in one cirlce
2 pie
How to find change in theta with arc length
change in arc length divided by the radius
What is torque
The amount of effort it takes to rotate an object that and a larger torque is perpendicular to the radius and the farthest away from the axis of rotation
what is the lever arm
the length from the center of rotation to the point where the force is
clockwise is ____
counter clockwise is ___
negative
positive
when is veloicty constant angular (from another variable)
when torque is 0
Relate linear distances and theta
Delta s (displacement) = radius times theta
The smaller the radius the smaller the distance traveled in 1 revolution
what variable does slipping change
velocity
if given revolutions per second how do you find the angular velocity
time
what is translational velocity equal to when theres no slippage
V = rw
does angular speed ever change when moving towards the center
no angular speed doesn’t change without a change in torque
