BMST/POSS Study Set – Questions With
Verifiable Solutions
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Terms in this set (341)
Unit Circle
Unit Circle Coordinates cos, sin
Unit circle goes counterclockwise in units of pi/2 or 90 degrees
tan sin/cos
sin(pi - x) & cos(pi/2 - x) sin(x)
sin(pi/2 - x) cos(x)
0 degrees 0 radians
30 degrees pi/6 radians
45 degrees pi/4 radians
60 degrees pi/3 radians
90 degrees pi/2 radians
180 degrees pi radians
270 degrees 1.5 pi radians
360 degrees 2 pi radians
sin 0 degrees 0
cos 0 degrees 1
sin 30 degrees 1/2
cos 30 degrees √3/2
,sin 45 degrees √2/2
cos 45 degrees √2/2
1/sin csc
1/cos sec
1/tan cot
sin 60 √3/2
cos 60 1/2
sin 90 1
cos 90 0
sin 180 0
cos 180 −1
sin 270 −1
cos 270 0
sin 360 0
cos 360 1
Circumfrence 2πr
Complimentary Angles two angles that add up to 90 degrees
Supplementary Angles Two angles whose sum is 180 degrees
Power Work/Time = I x V
(Output Force/Input Force) or (Distance
Mechanical Advantage
Input/Distance Output)
Work input equals work output
Mechanical Advantage > Input Force < Output Distance/Force < Distance
1 Input
Mechanical Advantage < Distance Input < Output Distance/Force < Input
1 Force
Incline Plane Mechanical Slant Length/Rise
Advantage
, Wedge Mechanical Length/Width
Advantage
Screw Mechanical (2pir)/length between crests
Advantage
Lever Mechanical Effort Distance/Resistance Distance
Advantage
first class lever typical lever
second class lever load b/w input & fulcrum
fulcrum The fixed point around which a lever pivots
third class lever the input force is between the fulcrum and the load
third class levers are used produce greater distance
to
wheel and axle wheel radius/axle radius
mechanical advantage
When a small gear is speed of the big gear is slow
driving the big gear,
When a big gear is speed of small gear is fast
driving the small gear,
Output Torque/Input Torque = Relative Speed
Gear Mechanical
Output/Relative Speed Input = # of Output Teeth/#
Advantage
of Input Teeth
Gear Output Velocity ω
ω input/ω output relative output speed/relative input speed
change direction, location, amount of output torque,
Gears are used to
change angular velocity of output
Gear Ratio # of driving teeth/# of teeth driven
Hydraulic Jack Output Force/Input Force = Output Area/Input Area
Mechanical Advantage = Radius Output Squared/Radius Input Squared
A smaller pulley spins faster then a large pulley
A larger pulley will generate more torque than a small pulley
Linear Momentum How much a body will resist stopping
Verifiable Solutions
Save
Terms in this set (341)
Unit Circle
Unit Circle Coordinates cos, sin
Unit circle goes counterclockwise in units of pi/2 or 90 degrees
tan sin/cos
sin(pi - x) & cos(pi/2 - x) sin(x)
sin(pi/2 - x) cos(x)
0 degrees 0 radians
30 degrees pi/6 radians
45 degrees pi/4 radians
60 degrees pi/3 radians
90 degrees pi/2 radians
180 degrees pi radians
270 degrees 1.5 pi radians
360 degrees 2 pi radians
sin 0 degrees 0
cos 0 degrees 1
sin 30 degrees 1/2
cos 30 degrees √3/2
,sin 45 degrees √2/2
cos 45 degrees √2/2
1/sin csc
1/cos sec
1/tan cot
sin 60 √3/2
cos 60 1/2
sin 90 1
cos 90 0
sin 180 0
cos 180 −1
sin 270 −1
cos 270 0
sin 360 0
cos 360 1
Circumfrence 2πr
Complimentary Angles two angles that add up to 90 degrees
Supplementary Angles Two angles whose sum is 180 degrees
Power Work/Time = I x V
(Output Force/Input Force) or (Distance
Mechanical Advantage
Input/Distance Output)
Work input equals work output
Mechanical Advantage > Input Force < Output Distance/Force < Distance
1 Input
Mechanical Advantage < Distance Input < Output Distance/Force < Input
1 Force
Incline Plane Mechanical Slant Length/Rise
Advantage
, Wedge Mechanical Length/Width
Advantage
Screw Mechanical (2pir)/length between crests
Advantage
Lever Mechanical Effort Distance/Resistance Distance
Advantage
first class lever typical lever
second class lever load b/w input & fulcrum
fulcrum The fixed point around which a lever pivots
third class lever the input force is between the fulcrum and the load
third class levers are used produce greater distance
to
wheel and axle wheel radius/axle radius
mechanical advantage
When a small gear is speed of the big gear is slow
driving the big gear,
When a big gear is speed of small gear is fast
driving the small gear,
Output Torque/Input Torque = Relative Speed
Gear Mechanical
Output/Relative Speed Input = # of Output Teeth/#
Advantage
of Input Teeth
Gear Output Velocity ω
ω input/ω output relative output speed/relative input speed
change direction, location, amount of output torque,
Gears are used to
change angular velocity of output
Gear Ratio # of driving teeth/# of teeth driven
Hydraulic Jack Output Force/Input Force = Output Area/Input Area
Mechanical Advantage = Radius Output Squared/Radius Input Squared
A smaller pulley spins faster then a large pulley
A larger pulley will generate more torque than a small pulley
Linear Momentum How much a body will resist stopping
