# Worksheet: Unit Conversions

In this worksheet, we will practice converting between different units that are commonly used to express physical quantities.

Q1:

Soccer fields vary in size. A large soccer field is 115 m long and 85.0 m wide. What is its area in square feet? (Assume that .)

• A ft2
• B ft2
• C ft2
• D ft2
• E ft2

Q2:

If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in seconds?

Q3:

A complete rotation in a circle causes the rotator to face in the same direction after the rotation as before it. The angle rotated through is radians, which equals . How many radians is equal to?

Q4:

Mount Everest, at 29,028 ft, is the tallest mountain on Earth. What is its height in kilometers? (Assume that .)

Q5:

Gold is sold by the troy ounce. A troy ounce equals 31.103 g. What is the volume of 1 troy ounce of pure gold? Use a value of kg/m3 for the density of pure gold.

Q6:

1 fluid ounce is equal to approximately 30 mL. A can of soda pop has a volume of 12 fl oz. What is the volume of a can of soda pop in cubic meters?

• A m3
• B m3
• C0.36 m3
• D m3
• E m3

Q7:

The speed limit on some interstate highways is roughly 100 km/h.

What is this in meters per second?

How many miles per hour is this?

Hint: .

Q8:

A commonly used unit of mass in the English system is the pound-mass, abbreviated lb, where . What is the density of water in pound-mass per cubic foot?

.

Density of water = 1,000 kg/m3.

Q9:

Light travels at a speed of m/s. A light-second is the distance light travels in 1 second. If the Sun is m from Earth, how far away is it in light-seconds?

Q10:

If the average of a person is to have 80 heartbeats per minute, how many heartbeats does a person have in a year on average?

Q11:

A car is traveling at a speed of 42 m/s. What is its speed in kilometers per hour?

Q12:

What is the height in meters of a person who is 6.00 ft2.00 in tall?

Q13:

The speed of sound is measured to be 338 m/s on a particular day. What is this speed in km/h?

Q14:

An electron has a mass of kg. An alpha particle has a mass of kg.

What is the mass of an alpha particle in electron masses?

Q15:

gas has a molar mass of 28.0 g/mol, and gas has a molar mass of 44.0 g/mol.

How many moles are in 0.0500 g of gas?

• A
• B
• C
• D
• E

How many moles are in 10.0 g of gas?

How many molecules are in 0.0500 g of gas?

• A
• B
• C
• D
• E

How many molecules are in 10.0 g of gas?

• A
• B
• C
• D
• E

Q16:

A light-nanosecond is the distance that light travels in a vacuum in exactly 1 ns. How many light-nanoseconds equal 1 foot if a foot is equal to 0.3048 m? Use m/s for the speed of light in a vacuum.

• A light-nanoseconds
• B1.02 light-nanoseconds
• C0.98 light-nanoseconds
• D light-nanoseconds
• E light-nanoseconds

Q17:

Football is played on a field of length 115 yards. How long is the field in meters? Assume that and .

Q18:

Restate kg using a metric prefix such that the resulting number is greater than one but less than one thousand.

Q19:

Light travels 9 Pm per year. Calculate the speed of light in meters per second. Use a value of s for the duration of a year.

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

Q20:

If , how many newtons of force is equivalent to 1 lbf?

Q21:

What is 1.0 m/s in kilometers per hour?

Q22:

What Kelvin temperature is equivalent to 32 degrees Fahrenheit? Answer to three significant figure precision.

Q23:

A man has a mass of 85.2 kg. State this mass in lb to three significant figure precision.

Q24:

How many nm is 100 angstroms equivalent to?

Q25:

What is the possible drift of a clock that is accurate to within one second per year?

• A
• B
• C
• D
• E