Practice problems of the unit conversion - page 21 of 111
The International System of Units (SI) is the standard system of units used in most countries around the world. It is based on seven base units: the meter for length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity. These units can be converted to other units using conversion factors, such as the relationship between meters and centimeters (1 meter = 100 centimeters). Other common SI unit conversions include:1 liter = 1000 milliliters
1 gram = 1000 milligrams
1 joule = 1 watt-second
1 newton = 1 kilogram-meter per second squared
In the SI system, units can be multiplied or divided by powers of ten to create larger or smaller units. These multiples are called prefixes. The most common prefixes and their meanings are:
mega- (M) = 1,000,000 (e.g. 1 megahertz = 1,000,000 hertz)
kilo- (k) = 1000 (e.g. 1 kilogram = 1000 grams)
centi- (c) = 0.01 (e.g. 1 centimeter = 0.01 meters)
milli- (m) = 0.001 (e.g. 1 milliliter = 0.001 liters)
micro- (µ) = 0.000001 (e.g. 1 microgram = 0.000001 grams)
nano- (n) = 0.000000001 (e.g. 1 nanosecond = 0.000000001 seconds)
It is important to note that, when using these prefixes, the prefix should be written before the unit symbol.
Number of problems found: 2215
- Flowerbed 5076
We will plant 24 lettuce seedlings on the 8.4 m long flowerbed. How far apart will we bet them? (Ignore the margins at the beginning and end of the flowerbed.) - Calculate 3649
The summer holidays begin at midnight on June 30. Calculate how many days remain until the beginning of the summer holidays. Calculate how many minutes it has been since you read this text. - Electrical 19373
At a certain point, we measured a voltage of 3.74V at a current of 170mA at the terminals of a resistor connected to an electrical circuit. Calculate the resistance of the resistor. - Mr. Lee
Mr. Lee has a rope. The total length of the rope is 5 meters. He cuts off 350 centimeters of rope to use in his garden and another 75 centimeters to hang a bird feeder. What is the length of the rope he has left in centimeters? - Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time. - A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities? - Hector
Hector has 3/4 hours to spend completing his homework. He wants to spend 1/3 of his time on math homework, 10 minutes on reading homework, and the remaining time on science homework. How much time, in minutes, does he have to spend on his SCIENCE homework - A rope 2
A rope that is 6 meters long will be cut into 24 pieces that are all the same length. What will be the length of each piece in centimeters? (100 cm = 1 m) - Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27°C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15°C? - Harmonic oscillator
Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the deflection amplitude is 2 cm, and the frequency is 5 Hz. Please round the result to 3 decimal places. - An investment
How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month. - Mixing Celsius and Fahrenheit
Add up three temperatures: 5°F +6°F +0°C - Car crash
After a traffic accident, police measured 1.16 permille of alcohol in the driver's blood. About 5 kg of blood circulates in the human body. What amount of alcohol did the driver have in the blood? - School 6
Jirka lives 600m from the school, Honzík 1200m. How many kilometers a week does Honzik go over Jirka on his way to school and back? How many times will more Honzík go than Jirka? - Earth and Sun
Earth is 150 million km away from the Sun. 300,000 km of sunlight travels in 1 second. How long will the light come from the Sun to the Earth? - Iron cast
What is the weight of cast iron with a volume of 3575 cubic centimeters? The density of the cast iron is 7600 kg/m3 - UV radiation
The glass of 1 mm thickness absorbs 5.3% of UV radiation passing through. How many percent of UV rays absorb glass with a thickness of 2.3 cm, made from 1 mm thick those glasses? - Motor physics
A car is traveling at 98 km/h on the highway. The pulling power of the motor is 6 kN. Find the engine power in kW. - Mechanical 83220
An airplane weighing 100 tons flies at an altitude of 11 km at a speed of 850 km/h. What is its kinetic, potential, and total mechanical energy? - Calculate 83039
The whole movie lasts 1 hour. The time left until the end of the film is half of the time that has already passed since the film's beginning. Calculate how many minutes are left until the end of the movie.
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