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Level 92

Rotational Kinetic Energy & Angular Momentum


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rotational kinetic energy
If an object is spinning, it has _______.
.5mv^2
What is the equation for translational kinetic energy?
.5I⍵^2
What is the equation for rotational kinetic energy?
KEtrans and KErot (both must be included in energy conservation)
When an object is rolling, what type of kinetic energy does it have?
transfer of energy
energy will be transformed to rotational KE so less goes to translational KE
LOOK AT EXAMPLES ON ACTUAL KINETIC ENERGY NOTES!
THAT WASN'T A QUESTION, ERGO THERE'S NO ANSWER, MORON!!!
angular momentum
analogous to momentum; if the net torque on a system is zero then the angular momentum is conserved
p=mv
What is the equation for momentum?
L=I⍵
What is the equation of angular momentum?
kg(m^2/s^2)
What unit is angular momentum measured in?
conservation of angular momentum
just as linear momentum is conserved, so is angular momentum
Centripetal Force
A force directed towards the center of a circle that causes an object to follow a circular path
No: only a summation equation
Will centripetal force ever be on a free-body diagram?
F(subscript)c = m(v(subscript)t^2)/r
What is the equation for centripetal force?
a(subscript)c=(v(subscript)t^2)/r
What is the equation for centripetal acceleration?
Torque
A "force" that causes rotation because it is exerted at a distance from the axis of rotation.
in the same direction
For work to be done, force and distance must be _______.
Perpendicular
A wave in which the vibration of the medium is _______ to the direction in which the wave travels is called a transverse wave.
own weight, pivot point, gravity, mass, center of mass
In the absence of forces, an object's _______ will cause torque if the object has a _______ applied. In this instance, the torque is caused by the force of _______ acting on its _______. …
Describe the conditions of a rotational equilibrium.
- forces up and down are balanced
the law of moments
What do you need to ask Coach Mathews about?
an object's resistance to rotation
rotational inertia or moment of inertia
mass, radius or length
What physical properties is rotational inertia based on?
I=mr^2
moment of inertia for hoop/cylindrical shell
I=.5mr^2
What is equation of rotational inertia for a disk?
I=(1/3)ml^2
What is equation of rotational inertia for a rod (about its center)?
I=(1/12)ml^2
What is equation of rotational inertia for a rod (about its end)?
circular or rotational motion
the movement of an object along the circumference of a circle or rotation around a central point
moving at constant rate
Describe uniform circular or rotational motion.
Describe non-uniform circular or rotational motion
moving with a changing rate of rotation
faros wheel:
What is an example of both circular and rotational motion?
Frequency
#cycles/second
f=rev/sec or Hertz
What is the equation/unit of frequency?
period
The time taken for one complete cycle
T=sec/rev=1/f
What is the equation of period?
θ=s/r
angular displacement
θ=360 degrees or 2(pi)
What is θ equal to if the object completes one full rotation or revolution? What is s?
Vt=(2πr)/T
What is the equation for tangential velocity?
⍵=(2π)/T or ⍵=Δθ/t
What is the equation for angular velocity?
α=a(subscript)t/r or α=Δ⍵/t
What is the equation for angular acceleration?
the center of the circle
What direction Centripetal Force will always act towards?
Fc=(mv^2)/r
What is the equation for centripetal force?
centripetal acceleration?
acceleration necessary to make something rotate
revolutions per minute
What does rpm stand for?