A few facts to memorize for "back of the envelope" calculations: 1 inch ~ 2.5 cm (actually 1 inch = 2.54 cm) 1 foot ~ 30 cm (actually 1 foot = 30.48 cm = 1.09 yd.) 1 meter ~ 3 feet = 1 yard (actually 1 meter = 3.281 feet) 8 km ~ 5 miles or 1 mile » 1.5 km (actually 1 km = 0.6214 miles and 1 mile = 1.609 km) 1 meter per second ~ 2 miles per hour (actually 1 m/s = 2.237 mile/h) 25 m/s ~ 55 mile/hour 1 Newton ~ one stick of butter = 1/4 lb. (actually 1 Newton = 0.2248 lbs) 1000 Newtons ~ Dan Ackroyd ( actually 1000 N = 224.8 lbs) 1 Joule ~ 3/4 ft-lb (actually 1 J = 0.7376 ft-lb) 1000 Joules ~ the work done in lifting 100 pounds over your head 1 liter ~ 1 quart (actually 1 liter = 1.06 quarts) 1 liter of water has mass about 1 kilogram. (depends on temperature, pressure, purity of water; many materials have a density quite close to water so this works fairly well for many materials. "A pint is a pound the world around.") 1 radian ~ 60 degrees (actually 1 rad = 57.3 deg angle measure) radians = 180 degrees (halfway around the circle) 0° C = 32° F 100° C = 212° F sin(0) = 0, sin(p /6) = 1/2, sin(p /2) = 1, sin(p )=0, sin(-p /2) = -1 cos(0) = 1, cos(p /3) = 1/2, cos(p /2) = 0, cos(p )= -1 tan(0) = 0, tan(p /4) =1, tan(p /2) = "infinity", tan(-p /4) = -1 SOH-CAH-TOA Constants: Approximate values ~ 3 or 3.14 g ~ 10 or 9.8 m/s^2 (acceleration due to gravity) c ~ 3 x 10^8 m/s (speed of light in vacuum) radius of earth ~ 6000 km Eventually you will memorize these unit definitions: 1 Newton = 1 kg-m/s^2 1 liter = 1000 cm^3 1 Joule = 1 Newton-meter 1 Watt = 1 Joule/sec Some powerfully energizing facts (not worth memorizing) 1000 Joules ~ the work done in lifting 100 pounds over your head ~ 1 Btu = energy needed to heat a cup of water one degree Fahrenheit. 1 million Joules ~ 250 Calories (kilocalories) ~ one glazed donut 1 horsepower = 550 ft-lb/s ~ 3/4 kW ~ power used by a toaster (actually 1 hp = .7457 kW = 745.7 W = 745.7 J/s) For more information and some fascinating problems on approximation, see http://www.vendian.org/envelope/ .