Practice problems of the unit conversion - page 23 of 113
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: 2252
- Constant 36313
The truck weighs 4.5 tons and is moving at a constant speed of 72 km/h. How big is his kinetic energy? - Reservoirs 29051
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third. - Obtained 26101
Bača obtained 2 kg of cheese from 20 liters of milk in the mountain hut. How many grams of cheese can it make from 15 liters of milk? - Delivers 19143
The pump delivers 34 hl of water per minute. How long does it take to fill the tank with a volume of 10m³? Write the result in hours and minutes.
- Particular 11591
The particular map has a scale of 1:75000 a) The distance between the two places on the map is 42mm. What is the actual distance? b) How long would the distance show, 15.75 km on the map? - CALCULATION 5897
If we know that a pedestrian will run 4.5 km in one hour, how much will he walk in one minute? Express the result also in meters. RECORD, CALCULATION. ANSWER - Contains 5566
100g of yogurt contains 150mg of calcium. How many kg of yogurt would we have to eat to meet the daily dose of calcium 1000mg? - 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.) - Resulting 4429
What will be the resulting volume V, if we mix liquids with volumes of 3hl and 200 cubic dm A) V = 0.32 cubic meters B) V = 0.50 m cubic C) V = 23hl D) V = 5m cubic
- 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. - 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
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