Physics N Math Flashcards by grayson hartwick

Difference between scientific and engineering notation

Scientific base 1 to 10 exponent also base 10 ie 5 × 10^25
Eng base 1 to 1000 exponent base 10 BUT exponent multiple of 3
976 × 10^6

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Easiest way to divide a fraction?

Cross multiply(keep, switch, flip)
- keep 1st fraction
- switch to multiply
- flip 2nd fraction

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2/5 + 3/7

29/35

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2/3 × 15/16 =

30/48 (5/8)

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Is 3:2 equivalent to 7069:4712?

3/2 = 1.5
7069/4712 =1.5002
So yes

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% change =

(Final amount- initial amount/initial amount ) ×100

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A (math) term is:

Any variable you separate with a +,-,or = sign

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A factor(math ) is

Any variable you separate with a × or ÷
Can be implied like 4ab.
The 4 a and b are all factors

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Number that describes growth?
How is it set up in the calc?

2.71828
E^x

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At 360 degrees (circle) how many radians

2 pi

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At 180 degrees( circle) how many radians

1 pi

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If 2 angles add upto 180 they are?
90 they are?

180 = supplementary
90 = complimentary

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X= sin 25.3 degrees
Side length 15
Find x

15
Sin
25.3
X = 6.41036

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Cos A = .8346
Find A

2nd + cos (0.8346)
A = 33.4257

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If a full tank is .5m high, liquid density is 998.2 and gravity is 9.81
What is the kpa?

4.896

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Def hydrostatic pressure

Pressure developed by a column of liquid

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Newtons 1st law

Object in motion stays in motion and object at rest stays at rest till acted on by an equal or greater force

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Newtons 2nd law

The more mass the less accelerate, the harder you push the more accelerates

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Newtons 3rd law

For every action there is an equal and opposite reaction

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Distance def:
Symbol

The total length of the path an object follows
d

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Displacement def:
Symbol?

The straight line distance and direction from an objects starting point to its final position
d with line over

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V = d/t stands for

Average speed
Distance = speed / time
Average velocity
Displacement = velocity/time

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A = Vf - Vo / t stands for

A = acceleration
Vf = final velocity
Vo = initial velocity
T = time

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Velocity is speeding up if

A = + and v = +
Or
A = - and v = -

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g = Sooo

-9.8 m/s^2 So always - on velocity

Tension def:

Force through a "rope"

V = VoT + .5 at^2 is for

Velocity as a unit of time

V = Vo + at is for

How far have I gone in a straight line as a unit of time?

V^2 = Vo^2 + 2ax is for

Velocity as a function of distance

3 1lb (1 inch ^2) boxes staked on top of each other Force? Pressure?

F = 3lbf P = 3lbf/in^2

3 1 lb (1 inch ^2)boxes side by side Force? Pressure?

F = 3 life P = 1 lbf/in^2

A winch lifts a 2 kg weight up 4.5 m What is the output of the winch

W = f x d W = (2kg × 9.81 m/s^2) x 4.5 W = 19.62 x 4.5 W = 88.29 N

Def work Units

W = applied force x distance U = 1 Joule ( 1N force through 1M displacement)

Def power Units

Scalar rate of doing work. P = W/t unit J/s 1 J/s = 1 watt

A truck is driving down a road ar 10000N force. How much work in Mega joules in 100m of road

W= force x distance W= 10000 × 100 W= 1000000 N W = 1 MN

Ek = 1/2 mv^2 is for

Kinetic energy

Ep= mgh is for

Gravitational potential energy

Pressure triangle vs ohms law

F = V P = I A = R

Def : energy

The CAPACITY to do work

Def : energy

The CAPACITY to do work

Ep = 1/2 kx^2 is and is for

Spring potential K = spring constant in n/m X = distance stretched/compressed In m

F = k x is and is for

Hooks law Force to stretch or compensate a spring fully K = spring const X = distance

For calculations with F ex( w = f×d) What must you do

Remember F = mass x acceleration

V = root (2Ek/m) is for

Velocity from potential energy Ek = 1/2m v^2 formula

Element def

Cannot break down by chemical means to a simpler substance

Compounds def

Can break down to simpler substances. Contain 2 or more elements

A pipe reduces from(a) 34 cm to(b) 20 cm. The flow rate at a is 1 m/s. What is it at b?

D1 V1 = D2V2 34 cm^2 × 1 m/s = 20 cm^2 × V2 34^2 / 20^2 = 20^2 × V2 1156/400 = V2 2.89 m/s = V2

Total energy at point 1 is = to point 2 (assuming no friction losses) is _____ equation

Bernoullis

Cohesion is

Attraction between molecules of the same type

Adhesion is

Attraction of molecules of a different type

Intermolecular forces

Attraction / repulsion between neighboring molecules (weak)

Intra molecular

Keep a molecule together (strong)

Density is _____ of _____ Formula

Inverse of specific gravity P = Mass/Volume

Vg = Volume/Mass formula for

Specific gravity

P = Fg/a is for

Hydrostatic pressure

Pliguid = pgh

Pressure at any depth p= density g= gravity h= depth

Force on an object that keeps it from sinking is

Apparent weight

Reynolds # below 2000 is Above 4000 Between

Above : turbulent Below : laminar Between: transitional

Fb = (Pr) × (g) × (Vd) is

Buoyant force Pr : displaced fluid density g : gravity Vd : displaced fluid volume

🔺️L = a L 🔺️ T or aL0( Tf-To ) is and is for

Linear expansion 🔺️ L = change in length A = coefficient L0 = original length 🔺️ T = temp change Tf final temp To original

What is latent heat of fusion

The amount of energy required to change a substance from its solid phase to liquid at its melting point without a change in temp

With an incline plane it takes the same amount of energy to push it up as

Lifting straight up

MA = d1/d2 is

MA : mechanical advantage D1: distance 1 ( whole thing) D2: effort arm

MA difference between load ropes and effort ropes

Load support (up) Effort ropes actually pulling If pulling up on a pull then the pull rope is also a load rope

Volume of a sphere

(4/3) pi × r^2

If using an axle to lift a bucket of water which is the load , which is the effort

Bucket = load Axle/fulcrum = effort

If there are 5 ropes on pulleys and 1 pull rope. You lift a load 20 feet how much rope do you pull?

100 feet

A bellows is pushing up w 100n force 1.5 m down a fulcrum. Another bellows is 1 m further down pushing up how much force to equal

100 × 1.5 = X × 2.5 = 60 n

Difference between gauge pressure and absolute ( formula)

P gauge = P abs - P atm

P = Po = pgh is for

Absolute pressure