A ratio of two quantities that are measured using different measurement units is a third physical quantity that inherits the dimensions from the parents.
examples:
ratio between space s (meter) and time t (second) is velocity v=s/t measured in meters/second
ratio between energy E (Joule) and time t (seconds) is power (P) measured in Joules/second
ratio between heat Q (Joule) and Temperature T (°K) is entropy S=Q/T measured in Joule/°K
Different is the situation if we compare two measurements of the same time that are done in different measurement units. For example if we want to compare the distance between two cities measured in kilometers and the length of my bedroom measured in meters. In this case the result is an non dimensional ratio and to evaluate it the two measurements have to be converted in the same measurement unit. In the above example if the distance D between the cities is 100 km and the length of my bed room is L=8 meters the ratio has to be calculated as
D/L (all in meters) = 100*1000/8=12500.
what is it
Its an inequality
it's a rate bro
A ratio that compares two quantities of different units is called a rate. Rates express how one quantity relates to another, often with a specific context, such as speed (miles per hour) or density (grams per cubic centimeter). They provide a way to understand the relationship between the two quantities, allowing for meaningful comparisons across different units.
To compare to different units of measurement or a ratio that compares two quantities of different units (Ex: A car goes 100 miles in 1.5 hours, what is the rate)
ratio that compares 2 quantities measured in diiferent units
rate
what is it
Its an inequality
A rate.
it's a rate bro
A rate.
A ratio that compares two quantities of different units is called a rate. Rates express how one quantity relates to another, often with a specific context, such as speed (miles per hour) or density (grams per cubic centimeter). They provide a way to understand the relationship between the two quantities, allowing for meaningful comparisons across different units.
A rate is a fraction that compares two quantities measured in different units. If the denominator of the fraction is 1 unit, the rate is called a unit rate.
To compare to different units of measurement or a ratio that compares two quantities of different units (Ex: A car goes 100 miles in 1.5 hours, what is the rate)
That is known as a unit rate.
A ratio that compares two quantities measured in different units is known as a "rate." Rates express the relationship between the two quantities, allowing for comparison despite their differing units. For example, speed is a rate that compares distance (measured in miles or kilometers) to time (measured in hours), such as miles per hour (mph) or kilometers per hour (km/h). Rates provide a standardized way to understand how one quantity relates to another across various contexts.