What are derived units? Give an example
Derived units are units that are derived from the base units of a system of measurement, typically through mathematical combinations or equations. They are formed by combining base units to represent quantities that may not have a separate designated unit.
For example, the unit of speed is derived from the base units of distance and time. The SI (International System of Units) unit for speed is meters per second (m/s), which is obtained by dividing the unit of distance (meter, m) by the unit of time (second, s). Other derived units include units for acceleration (m/s^2), force (kg•m/s^2 or N), and energy (kg•m^2/s^2 or J).
Derived units are units that are formed from the combination of base units. They are typically used to represent physical quantities that are derived from fundamental measurements.
An example of a derived unit is the Newton (N), which is the unit of force in the International System of Units (SI). It is derived from the base units of kilogram (kg), meter (m), and second (s). The Newton is defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared (N = kg * m/s^2). Thus, the Newton is a derived unit that combines the base units of mass, length, and time.
Derived units are units that are formed by combining base units according to the mathematical relationship between the quantities being measured. These units are used to express derived quantities, which are derived from fundamental physical quantities.
For example, the speed of an object is derived by dividing the distance traveled by the time taken. The derived unit for speed in the International System of Units (SI) is meters per second (m/s). Here's how you can calculate the speed of an object:
1. Measure the distance traveled by the object in meters (m).
2. Measure the time taken for the object to cover that distance in seconds (s).
3. Divide the distance by the time: speed = distance / time.
For instance, if an object covers a distance of 200 meters in 10 seconds, you would calculate the speed as follows:
speed = 200 meters / 10 seconds = 20 m/s.
So, the derived unit for speed is meters per second (m/s), which indicates that the object is traveling a distance of 1 meter in 1 second.