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each term in the equation must have the same dimensions
length [L]
mass [M]
time [T] |
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| Velocity is a ________ unit. |
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compound
[L]⁄[T]
velocity measured in miles per hour has the same dimensions — length/time — as one measured in inches per century |
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Finding a Component
sineθ=opposite⁄hypotenuse
Finding an Angle
θ=sine-1(o⁄h) |
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Finding a Component
cosineθ=adjacent⁄hypotenuse
Finding an Angle
θ=cosine-1(a⁄h) |
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Finding a component
tangentθ=opposite⁄adjacent
Finding an angle
θ=tangent-1(o⁄a) |
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abbreviation: µ
one millionth
10-6=.000001 |
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length: meter
mass: kilogram
time: second |
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| British engineering system units |
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length: foot
mass: slug
time: second |
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length: centimeter
mass: gram
time: second |
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abbreviation: k
one thousand
103=1,000 |
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abbreviation: c
one hundredth
10-2=0.01 |
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abbreviation: m
one thousandth
10-3=0.001 |
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abbreviation: G
one billion
109=1,000,000,000 |
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abbreviation: M
one million
106=1,000,000 |
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| a quantity that is specified by a numerical value only |
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| a quantity that is specified by using both a numerical value and a direction |
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Pythagorean theorem solves for the ___________.
What is the equation? |
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hypotenuse, resultant, radius, or magnitude on a right triangle
A2 + B2=C2
C=√A2 + √B2 |
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Δx⁄Δt
xf − xi⁄tf − ti
or
1⁄2(v0 + v) |
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constant-acceleration equation of motion
position, time, velocity, acceleration |
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constant-acceleration equation of motion
velocity, acceleration, time |
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constant-acceleration equation of motion
velocity, acceleration, position |
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constant-acceleration equation of motion
position, time, velocity |
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constant-acceleration equation of motion
velocity |
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| components of a right triangle |
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x = rcosθ
y = rsinθ
r = √x2 + √y2 |
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potential energy of a spring
PEspring = |
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1⁄2kx2
k = spring constant
x = amount of compression |
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Newton's first law
(law of inertia) |
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| An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. |
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| The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. |
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| For every action, there is an equal and opposite reaction. |
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| 1J = 1N·m = 1(kg·m⁄s2)·m = 1kg·m2⁄s2 |
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centripetal acceleration
ac = |
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