# Worksheet: Unit Conversions

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

**Q2: **

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

**Q4: **

Mount Everest, at 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/m^{3} 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
0.36 m
^{3} - B
m
^{3} - C
m
^{3} - D
m
^{3} - E
m
^{3}

**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?

Note: 1 mile.

**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 = kg/m^{3}.

**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: **

Considering an average of 80 heart beats of a person per minute, on average, how many heart beats does a person have in a year?

**Q11: **

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

- A 420 km/h
- B 160 km/h
- C 100 km/h
- D 150 km/h
- E 130 km/h

**Q12: **

What is the height in meters of a person who is 6.00 ft 2.00 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: **

N_{2} gas has a molar mass of 28.0 g/mol, and CO_{2} gas has a molar mass of 44.0 g/mol.

How many moles are in 0.0500 g of N_{2} gas?

- A
- B
- C
- D
- E

How many moles are in 10.0 g of CO_{2} gas?

How many molecules are in 0.0500 g of N_{2} gas?

- A
- B
- C
- D
- E

How many molecules are in 10.0 g of CO_{2} 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
- B light-nanoseconds
- C light-nanoseconds
- D1.02 light-nanoseconds
- E 0.98 light-nanoseconds

**Q17: **

Football is played on a 115-yd-long field. 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