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Why is the area under graph of force against time is used to find impulse?
Wiki User
∙ 11y ago
Because impulse is the integral of the force over the time during which it was applied. Graphically, this is the area under the curve of force against time.
Force is rate of change of momentum. Even if you hit a brick wall you impart momentum to some of the atoms in it. The area under a graph of force against time is mathematically speaking the integral of the force with respect to time, as stated above. So it is the integral of the rate of change of momentum. But the integral of a rate of change of anything, is simply the total change. In this case, the total change of momentum. For a large force applied for a very small time, that is called (defined to be) an impulse, and it results in a change of momentum. Strictly it doesn't have to be a small time for this to be true, but impulses are generally imagined as being short time events.
Wiki User
∙ 11y ago
Mahmoud Abu Easha
Because impulse is the integral of the force over the time during which it was applied. Graphically, this is the area under the curve of force against time.
Force is rate of change of momentum. Even if you hit a brick wall you impart momentum to some of the atoms in it. The area under a graph of force against time is mathematically speaking the integral of the force with respect to time, as stated above. So it is the integral of the rate of change of momentum. But the integral of a rate of change of anything, is simply the total change. In this case, the total change of momentum. For a large force applied for a very small time, that is called (defined to be) an impulse, and it results in a change of momentum. Strictly it doesn't have to be a small time for this to be true, but impulses are generally imagined as being short time events.
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How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
Can a position time graph be created from a velocity time graph?
Distance travelled from a velocity / time graph can be calculated from area under graph, say area under (v/t) graph from 0 - 1 seconds = distance travelled after 1 second, then do 0 - 2 seconds, 0 - 3 etc for set of data for distance / time graph
What does the area under a v-t graph give?
distance
How do you plot a distance time graph when you are given a velocity time graph?
The area under a v/t graph is how far you've gone. Choose a point on the time axis, read off the speed and find the area underneath. If its a straight line graph, all you have to do is find the area of the triangle. This area is the distance travelled in this particular time. Repeat for several more points on the time axis. Plot distance against time.
What is the area of a position time graph?
The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.
Why is the area under the curve for the force graph equal to the impulse?
It is not, if it is a graph of force against acceleration.
Force time graph?
A Force-time graph shows the variation of force with respect to time. More usefully the area under such a graph gives the quantity Ft or impulse, which is equal to the change in momentum of an object. Ft = Mv-Mu
How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
What physical quantity the area under force-displacement graph represent?
It is the work done or the energy utilised
Can work done be calculated by the gradient force-distance graph?
no, work done is the area under a force-distance graph
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.
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.
Where is the oil plug on a 1989 impulse?
under the car
What does the area under an acceleration time graph show?
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
This graph helps to show the relative sizes of quantities under different conditions?
bar graph.
What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
What is the physical quantity measured under a speed time graph?
If you mean 'measured by the area under the speed/time graph' then this is total distance travelled.
