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By McGraw-Hill Professional
Updated on Apr 12, 2011

### Equations

Project 1

Project 2       d = do + vt

Project 3       d = do + v(t – to)

Project 5       F = ma

Project 8

Project 9       v = R / t

R = (v2/g)sin 2 θ
h = (v sin θ)2/2g

Project 10     vx = R/t

Project 13

Project 17       v = √rg

Project 19       g = 2d/t2

a = 2d/t2

Project 22

Project 31

Project 51

Project 56

Project 67

Project 68

Project 70       f = v/2(L + 0.8d)

Project 77

v = 331 + 0.6T

Project 81       I = Io/r2

Project 83

Project 85       ni sin (θi) = nr sin (θr)

Project 86       I/Io = cos2 θ

Project 96

Project 100       Ohm's law

V = RI
R = VI, and I = V/R
Rseries = R1 + R2
1/Rparallel = 1/R1 + 1/R2 + …

Project 103     The current for a charging capacitor is given by I = Ioe–t/RC

The voltage for a charging capacitor is given by V = Vo(1 – e–t/RC)
The current for a discharging capacitor is given by I = Ioe–t/RC
The voltage for a discharging capacitor is given by V = Voe–t/RC

Project 116       I = IoeqV/kT

Project 121       Ephoton = hf

Project 125

1 m = 3.28 ft

1 mile = 1.61 km

1 inch = 2.54 cm

### Time

1 day = 86,400 s

1year (365¼ days) = 3.16 × 107 s

### Energy and Power

1 J = 0.738 ft-lb = 0.239 cal

1 kW-hr = 3.6 × 106 J

1 W = 1 J/s

1 hp = 746 J

1 N = 0.225 lb

1 lb = 4.45 N

### Weight and mass

A 1 kg mass has a weight of 9.8 N (on Earth)

A 1 kg mass has a weight of 2.2 lbs (on Earth)

### Speed/velocity

1 m/s = 2.24 mi/hr

1 km/hr = 0.621 mi/hr

1 km/hr = 0.278 m/s = 0.91 ft/s

### Volume

1 cc = 1 cm3 = 1 mL

1 liter (l) =1000 cm3

1 gal = 3.79 liters

### Pressure

1 Pa = 1 N/m2 =1.45 × 10–4 lb/in2

1 atm = 1.01 × 105 Pa

= 14.7 lb / in2 (psi)
= 760 mm-Hg
= 760 torr

### Examples of prefixes

1 km = 1000 m

1 kg = 1000 g

1 m = 100 cm = 1000 mm

1 liter = 1000 mL

1 μm = 1 × 10–6 meter

1 nm = 1 × 10–9 meter

1 megohm = 1 × 106 ohm