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frequency for simple harmonic motion

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Date created

Mar 14, 2020

Cards (85)

Section 1

(50 cards)

frequency for simple harmonic motion

Front

f=frequency (Hz) T=period (s) w=angular frequency (rad/s) *use parenthesis in calculator

Back

energy from power

Front

Energy= power * time Joules

Back

area of a velocity vs time graph

Front

x=vt displacement

Back

total acceleration

Front

no angular acceleration m/s/s *object speeding up/slowing down and turning

Back

Newton's Second Law

Front

*vector addition *right-left=ma or up-down=ma *one of the above equations acceleration=0 **watch direction for a** *mass is measured in kg

Back

Hooke's Law (springs)

Front

F= force stretching or compressing a spring(N) k= spring constant/force constant (N/m) x= how much spring is stretched or compressed (m) *F=ma

Back

Third kinematics equation (constant acceleration) no time given

Front

*speed up or slow down m/s m m/s/s

Back

impulse

Front

vector! change of direction means double the impulse WATCH SIGN for VELOCITY

Back

Force of kinetic friction

Front

*depends on materials and normal force acting on object *Normal comes from up-down=ma equation *Newtons *coefficient is unitless

Back

constant angular velocity

Front

w= angular velocity (rad/s) angular displacement (rad)

Back

Force of static Friction

Front

*from freebody diagram *Normal comes from up-down=ma equation *Newtons *coefficient is unitless

Back

radial/ centripetal acceleration

Front

change direction acceleration m/s/s

Back

wave speed

Front

v= wave speed (m/s) f=frequency (Hz) wavelength (m) *deceiving equation , wave speed only depends on medium

Back

slope of a force vs acceleration graph

Front

m=F/a mass

Back

Fourth Kinematics Equation (constant acceleration) no acceleration given

Front

*speed up or slow down meters m/s seconds

Back

angular momentum (something going in a circle like a spinning ice skater)

Front

L= angular momentum kgm^2/s I= rotational inertia kgm^2 w=angular velocity rad/s *when ice skater brings arms in I decreases which increases w

Back

resistors in parallel

Front

*multiple paths/ more pipes/two finger rule *voltage is equal *current adds up

Back

conversion for linear and angular acceleration

Front

a= acceleration m/s/s alpha= angular acceleration rad/s/s r= radius (m)

Back

angular frequency for mass on spring

Front

w = angular frequency (rad/s) k=spring/force constant (N/m) m= mass (kg)

Back

conversion for linear and angular velocity

Front

v=velocity (m/s) w=angular velocity (rad/s) r= radius (m)

Back

slope of a position vs time graph

Front

v=x/t velocity

Back

Period of an simple pendulum

Front

*depends on planet/ location *period is time for one complete cycle (s) *L is length of string (m) *g is 9.8 for Earth

Back

slope of a velocity vs time graph

Front

a= change of v/time acceleration

Back

universal law of gravitation

Front

F = force (equal and opposite on masses) G=6.67x10^-11 m = mass (kg) r = distance center to center (m) Force = mg or ma or mv^2/r

Back

Rotational Kinetic energy

Front

*object turning like a spinning wheel K= kinetic energy (joules) I= rotational inertia (kgm^2) w= angular velocity (rad/s)

Back

position as a function of time for simple harmonic motion (mass on spring)

Front

RADIAN MODE x=position (meters) A= amplitude (meters) f=frequency (Hz)

Back

current

Front

*direction is from positive side of battery towards negative sign of battery I= current (Amps) q= charge (C) t = time *flow of charge through a cross sectional area of wire *equal in series (one pipe=one current)

Back

resistors in series

Front

longer means increased resistance *one path/ one pipe/ one *current is equal *voltage adds up

Back

adding resistors in series and parallel

Front

Back

Gravitational Potential Energy

Front

U= potential energy (Joules) m= mass (kg) g=acceleration due to gravity (-9.8 Earth) y= vertical position from bottom (not ground) *swinging objects *roller coasters *used in conservation of energy U+K=U+K

Back

power

Front

rate of energy dissipated by resistor or rate of energy converted by battery *P= power (watts) *I= current (amps) *V= electric potential difference (volts)

Back

Second kinematics equation (constant acceleration) no final velocity given

Front

*speed up or slow down *most often used for projectile motion

Back

kinetic energy

Front

scalar, never negative if you are moving you have kinetic energy

Back

Coulomb's Law (force between charges)

Front

F= force equal and opposite on charges (N) k=9x10^9 q=charge (C) r = distance center to center *opposite signs attract *like signs repel

Back

Elastic Potential Energy for a spring

Front

U= potential energy (Joules) k= spring constant / force constant (N/m) x= how much spring is stretched or compressed (m) *Use in conservation of energy U+K=U+K

Back

Universal Gravitational Potential Energy

Front

object with a planet U= potential energy (Joules) G=6.67x10^-11 r=distance center to center (m) m=mass (kg)

Back

acceleration due to gravity

Front

g= m/s/s acceleration due to gravity M = Mass of planet (kg) r = distance from the center of the plant to object location (m)

Back

Weight

Front

*depends on location and planet * Force is weight measured in Newtons *mass is m measured in kg *g is acceleration due to gravity (9.8 for Earth)

Back

Conservation of Mechanical energy

Front

*one object *use for swinging objects, springs, roller coasters *potential loss is kinetic gained

Back

conservation of energy with friction

Front

Object moving with friction *energy at one time = energy at later time + work done by friction U+K=U+K+W

Back

momentum

Front

vector! Watch sign for VELOCITY

Back

Work-Energy Theorem

Front

*Work is the change of kinetic energy *object speeding up or slowing down *option to Newton's 2nd Law approach Joules

Back

Period of a mass on a spring

Front

*doesn't change if you go to a different planet *period is time for one complete cycle *use parenthesis in calculator T= period (s) m= mass (kg) k= spring/force constant (N/m)

Back

resistance

Front

R= resistance (ohms) resistivity (ohm meters) L=length (m) A= cross-sectional area (circle for wires) (m^2) *Longer the wire the more the resistance *the greater the area the smaller the resistance

Back

Power

Front

rate of energy change Watts

Back

linear/tangential velocity for circular motion

Front

T is period= time for one complete circle x=vt where x is circumference m/s

Back

net torque for system

Front

torque (Nm) I= rotational inertia (kgm^2) angular acceleration (rad/s/s) *object like a see saw speeding up or slowing down but going in a circle

Back

First kinematics equation (constant acceleration) no displacement given

Front

*speed up or slow down *acceleration is how quickly velocity changes

Back

Work

Front

*carrying a book across a room is not work *to do work the force must be parallel to displacement *friction does negative work Joules

Back

Newton's 3 Laws

Front

3rd law means forces are equal and opposite

Back

Section 2

(35 cards)

speeding up/slowing down angular velocity

Front

rad/s rad/s/s

Back

conservation of angular momentum

Front

Back

slope of a voltage vs resistance graph

Front

current

Back

angular displacement

Front

radians rad/s rad/s/s

Back

torque

Front

Back

Newton's 2nd law turning

Front

N-mg=mv^2/r

Back

centripetal force

Front

*Net force towards center of circle Moon around earth it is gravity car going around curve friction

Back

Newton's 2nd law- incline plane

Front

N-mgcos(angle)=0 T-mgsin(angle)=ma T-mg=m(-a)

Back

density

Front

density (kg/m^3) mass (kg) Volume (m^3)

Back

Newton's 2nd Law Practice

Front

split tension Fcos (angle)- f =ma N +Fsin(angle)-mg=0

Back

projectile motion at an angle

Front

*split initial velocity into sin and cos *vsin is for vertical constant acceleration equations *vcos is for horizontal constant velocity equation x=vt

Back

Freebody for incline plane

Front

only C and E correct C is at rest or moving down incline E is being accelerated up incline

Back

area of a force vs displacement graph

Front

Fx=work= change of kinetic energy

Back

Elastic collisions

Front

*conserve momentum and kinetic energy *magnetic bumpers with carts

Back

Newton's 2nd Law - atwood

Front

up-down=ma T-W=ma T-.9(9.8)=.9a T-.6(9.8)=.6(-a)

Back

Sound

Front

compressional / longitudinal wave *fastest in solids *cannot go through a vaccuum

Back

completely inelastic collisions

Front

*conserve momentum only *objects stick together *Velcro with carts

Back

Ohm's Law

Front

I= current (A)....flow V= electric potential difference (Volts)....push R= resistance (ohm's law)... fight *the more the push the more the flow * the more the fight, the less the flow

Back

slope

Front

divide axis and find equation for meaning

Back

change of angular momentum

Front

change of angular momentum (kgm^2/s) torque (Nm) time (s) *if there is a torque object speeds up or slows down which changes its angular momentum

Back

area of a force vs time graph

Front

Ft= impulse= change of momentum

Back

torque (twisting force)

Front

*See Saw/ levers *demo with trying to hold up bar with hanging masses torque (Nm) r is distance from pivot point to force (m) force must be perpendicular (N)

Back

Coulomb's Law

Front

Back

projectile motion

Front

*force = weight (down whole time) *acceleration (down -9.8 m/s/s) *horizontal motion constant velocity x=vt *at P only horizontal velocity *at P vertical velocity is negative

Back

horizontal projectile motion

Front

initial velocity = zero a=-9.8 displacement is negative

Back

Ohm's law visual

Front

Back

area

Front

*multiply axis for meaning *area under x-axis is negative *shading is from the x-axis up and from the x-axis down

Back

slope of a force vs stretch graph

Front

k=F/x spring constant or force constant

Back

force of friction

Front

another force for freebody Normal comes from freebody

Back

conservation of momentum

Front

use for collisions momentum before + momentum before = momentum after +momentum after

Back

Newton's 2nd law -modified atwood

Front

N-mg=0 T=4a T-2g=2(-a)

Back

Inelastic collisions

Front

*This is what you assume unless told otherwise *conserve momentum not kinetic energy *objects do not have to stick together

Back

Hooke's Law

Front

Back

period

Front

period is time for one complete cycle/circle w= angular velocity/frequency (rad/s) f= frequency (Hz)

Back

no centripetal force

Front

no centripetal force object moves straight... no longer turns

Back