Spring problem in British units

In summary, the person is working on a problem involving springs and velocity, with units in pounds and inches. They are wondering if they need to convert the units to Newtons, kilograms, and meters. The expert explains that while they can use the values without converting, they should be careful not to mix SI and imperial units in the same equation.
  • #1
joemama69
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Homework Statement



ok this might be a stupid question but I am working on a problem with springs and velocity and whatnot. anyways the units are american, 5lb, k=2lb/in, the diagram is dimensioned in inches. do i have to convert all them to N,kg,and meters.


Homework Equations





The Attempt at a Solution

 
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  • #2


I'm not American nor have I ever used the imperial system for units, however seeing as the topic is called springs, I assume you're wondering if you can plug the values in Hooke's law without worrying about units? You can but you have to be careful, for example: [tex]F=-k x=- \frac{2 lb}{in} 5 in=10 lb[/tex]. So the unit of force is now pound-force instead of Newtons. Just don't mix SI units with imperial units in the same equation.
 
  • #3


As a scientist, it is important to always use consistent units in calculations and measurements. While it may seem tedious to convert all units to a standard system, such as SI units, it is necessary in order to ensure accurate and meaningful results. In this case, converting the units to N, kg, and meters would be the best approach to solving the problem. This will make the calculations easier and will also provide a more universal understanding of the problem. It is important to remember that units are just as important as the numerical values in any scientific calculation.
 

Related to Spring problem in British units

What is a "spring problem" in British units?

A "spring problem" refers to a type of physics problem that involves the use of the British system of units, also known as the imperial system. This system includes units such as feet, pounds, and seconds, and is commonly used in the United Kingdom and some other countries.

What are the common units used in spring problems in British units?

The most common units used in spring problems in British units are feet for distance, pounds for force, and seconds for time. These units are often used together in equations to calculate properties such as spring constant, force, and displacement.

How is the spring constant typically measured in British units?

In British units, the spring constant is typically measured in pounds per foot (lb/ft). This unit represents the amount of force required to stretch or compress a spring by one foot. It can also be expressed as pounds per inch (lb/in) or pounds per yard (lb/yd) depending on the specific application.

Can spring problems in British units be converted to the metric system?

Yes, spring problems in British units can be converted to the metric system by using conversion factors. For example, to convert feet to meters, you can use the conversion factor 1 ft = 0.3048 m. Similarly, to convert pounds to kilograms, you can use the conversion factor 1 lb = 0.4536 kg.

Are there any advantages or disadvantages to using British units in spring problems?

One advantage of using British units in spring problems is that they are more familiar to those who are used to working with them. However, one disadvantage is that they are not as universally accepted as the metric system, which is used in most scientific and engineering applications. Additionally, British units are often considered less precise and can lead to errors in calculations.

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