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The graph of extension against load typically represents the relationship between the load applied to a material and the resulting extension (or elongation) of that material. In the elastic region, the graph is linear, indicating that the extension is directly proportional to the load, following Hooke's Law. Once the material reaches its yield point, the graph may curve or become nonlinear, indicating plastic deformation. Ultimately, if the load exceeds the material's tensile strength, it may break, leading to a sudden drop in extension.
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What does the slope on extension against load represents?
The slope of a graph plotting extension against load represents the stiffness or spring constant of the material being tested. It indicates how much the material extends per unit of load applied; a steeper slope signifies a stiffer material that requires more force to produce a given extension. This relationship is often described by Hooke's Law, which states that, within the elastic limit, the extension is directly proportional to the applied load.
How do you find the extension of a spring when only the load and length is given?
To find the extension of a spring when only the load (force) and its original length are given, you can use Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The formula is ( F = k \cdot x ), where ( F ) is the load (force), ( k ) is the spring constant, and ( x ) is the extension. If the spring constant ( k ) is known, you can rearrange the equation to find the extension: ( x = \frac{F}{k} ). If ( k ) is not provided, it cannot be determined solely from the load and length.
How do you calculate the ratio of force to extension from the gradient of a graph?
The answer will depend on what variables are graphed!
Why is the graph between load and deflection a straight line?
Because load and deflection are directly proportional to each other
What represents acceleration on a graph?
The answer depends on the variables in the graph! In a graph of age against mass there is nothing that represents acceleration.
Why do the load extension graph passes through the origin?
The load extension graph passes through the origin because at the beginning of the test, there is no load applied, so the extension is zero. This is the starting point on the graph where load and extension are proportional to each other before any deformation occurs.
What does the slope on extension against load represents?
The slope of a graph plotting extension against load represents the stiffness or spring constant of the material being tested. It indicates how much the material extends per unit of load applied; a steeper slope signifies a stiffer material that requires more force to produce a given extension. This relationship is often described by Hooke's Law, which states that, within the elastic limit, the extension is directly proportional to the applied load.
What is a compound bar graph?
A Compound Graph Is An Extension Of a Standard Graph.
What does the Hooke's Law graph illustrate about the relationship between force and extension in a spring?
The Hooke's Law graph shows that the relationship between force and extension in a spring is linear. This means that as the force applied to the spring increases, the extension of the spring also increases proportionally.
What quantity does the gradient of a force against extension graph represent?
It is the force constant of the material in N/m. So you can substitute it into the equation F=kx (F=force, k=force constant or gradient in N/m, x = extension) You would expect the extension to be on the y-axis normally since it is the measured value. However since you want to use the graph to calculate certain values it is on the x-axis (you can also find the work done by the force by finding the area under the graph) Also it allows you to divide the y-axis values by the cross-sectional area and x-axis values by original length to get a stress vs strain graph where you can use the gradient to find the Young modulus of the material.
What does the area under a force-extension graph represent?
The area under a graph of force against distance (or extension, if it's a spring) represents the work done by that force. Since it sounds like you're talking about a spring, you should know that the area would represent the work done to stretch the spring that distance, and also represents the amount of elastic potential energy contained by the spring.
How do you find the extension of a spring when only the load and length is given?
To find the extension of a spring when only the load (force) and its original length are given, you can use Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The formula is ( F = k \cdot x ), where ( F ) is the load (force), ( k ) is the spring constant, and ( x ) is the extension. If the spring constant ( k ) is known, you can rearrange the equation to find the extension: ( x = \frac{F}{k} ). If ( k ) is not provided, it cannot be determined solely from the load and length.
How do you calculate the ratio of force to extension from the gradient of a graph?
The answer will depend on what variables are graphed!
What is the relationship between load and extension?
The relationship between load and extension is typically described by Hooke's Law, which states that the extension of an elastic material is directly proportional to the load applied to it, provided the material is not deformed beyond its elastic limit. This means that as the load increases, the extension of the material increases linearly within this limit. However, if the load exceeds the elastic limit, the material may undergo permanent deformation, and the relationship may no longer be linear. This principle is fundamental in understanding the behavior of materials under tension or compression.
What is the relationship between extension and mass?
Within a materials elastic limit, the extension of a uniform section (like a wire) will be proportional to the tensile load. The graph of load (mass) v extension will be a straight line
Why is the graph between load and deflection a straight line?
Because load and deflection are directly proportional to each other
Why graph between load and deflection is a straight line?
because when we r applying a certain load the deflection also increasing..))
