What is the equation for the period of a spring?
2pi\sqrt (m/k)
Because of _____, a swinging wrecking ball does not swing forever.
Friction or damping forces
How can you describe the velocity of an object in UCM?
Constant speed with changing direction
The equation
F_s=-kDeltax
is known as:
Hooke's Law
SHM on a simple pendulum independent of I. amplitude II. mass III. length of string
II
Frequency is measured in:
Hertz
1 Hz=1s^-1
What is the source of centripetal force? Give an example
Tension or friction (depending)
A mass oscillating on a spring will have a zero acceleration at this point.
Equilibrium
\Deltax=0
What are the three variables in the period of a pendulum?
Amplitude
Length
Gravitational Acceleration
What is the direction of acceleration in UCM?
Radially inward
Position is the area under what type of graph?
V vs. T
The equation for the period of a spring shows that the following statement is true or false? SHM in a closed space in a non-damping system, the period of oscillation on a spring is both independent of amplitude and gravitational acceleration.
True
Why does SHM work so well with pendula for small angles?
sin(theta)approxtheta
Nick spins 8 times while holding a shotput before throwing. If it takes him 3.4 seconds to throw, what is the period and frequency of his spinning?
f=8/3.4=2.35\ Hz
T=3.4/8=0.425\ s
How does Hooke's law play a part in SHM
F_s=-k\Deltax
which means that the force of a spring is directly proportional to the distance of the spring from its equilibrium point. It shows that when a spring is moved there is a restoring force that moves it on the SHM track.
How do you find a full period on the SHM graph?
peak to peak or trough to trough
A roller coaster, composed of a robotic arm holding a pod full of thrill-seeking riders at the end, has a radius of 8 meters. If it can complete 15 revolutions in 1 minute, calculate the speed of the passengers.
BONUS: Calculate the acceleration, in "g"s, of the passengers
v=d/t=C/T=(2pi*8)/4=12.566\ m/s
a_c=v^2/r=12.566^2/8=19.7\ m/s^2
19.7/9.8= 2\ gs