1. Intro to Physics Units

Convert $2.5m^3$ to $\operatorname{cm}^3$

Convert the following to basic SI units or a combination of basic SI units:

2.2 x 10⁴ mi²

Using the approximate conversion factors in Table 1.5, convert the following SI units to English units without using your calculator.

25 m/s

Convert the following to basic SI units or a combination of basic SI units:

62 ft/day

According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm³ and 1 in. = 2.54 cm, express this volume in cubic inches.

The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.

A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (L = liter).

While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this?

The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm³ and 1 in. = 2.54 cm.

The density of gold is 19.3 g/cm³. What is this value in kilograms per cubic meter?

How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)

Starting with the definition 1 in. = 2.54 cm, find the number of kilometers in 1.00 mile

Express the following angles in radians: 45.0°. Give as numerical values and as fractions of π.

A square field measuring 100.0 m by 100.0 m has an area of 1.00 hectare. An acre has an area of 43,600 ft². If a lot has an area of 12.0 acres, what is its area in hectares?

An intravenous saline drip has 9.0 g of sodium chloride per liter of water. By definition, 1 mL = 1 cm³. Express the salt concentration in kg/m³.