The period vs length graph of a pendulum is a straight line because the period of a pendulum is directly proportional to the square root of its length, as derived from the formula for the period T = 2π√(L/g). This relationship results in a linear graph when plotted.
To illustrate the graph of a simple pendulum, you can plot the displacement (angle) of the pendulum on the x-axis and the corresponding period of oscillation on the y-axis. As the pendulum swings back and forth, you can record the angle and time taken for each oscillation to create the graph. The resulting graph will show the relationship between displacement and period for the simple pendulum.
On a mass vs period graph, the relationship between mass and period is typically represented by a straight line. This means that as the mass of an object increases, the period of its motion also increases in a linear fashion.
To calculate displacement from a displacement graph, find the area under the curve. If the graph is a straight line, you can subtract the initial position from the final position. If the graph is not a straight line, calculate the integral of the graph to determine the total displacement.
The resistance vs length graph shows that there is a direct relationship between resistance and length. As the length of the material increases, the resistance also increases.
A straight line on a distance/time graph means that the speed is constant. In every unit of time the distance increases by the same amount.
To illustrate the graph of a simple pendulum, you can plot the displacement (angle) of the pendulum on the x-axis and the corresponding period of oscillation on the y-axis. As the pendulum swings back and forth, you can record the angle and time taken for each oscillation to create the graph. The resulting graph will show the relationship between displacement and period for the simple pendulum.
If the question is about a pendulum, the answer is that it should. However, the square-root of the length is directly proportional to the length so that the relationship between the two variables is not linear but quadratic. If the graph is extrapolated accordingly, then it will. There may still be an element of measurement error which may prevent the graph from going exactly through the origin.
With a simple pendulum, provided the angular displacement is less than pi/8 radians (22.5 degrees) it will be a straight line, through the origin, with a slope of 2*pi/sqrt(g) where g is the acceleration due to gravity ( = 9.8 mtres/sec^2, approx). For larger angular displacements the approximations used in the derivation of the formula no longer work and the error is over 1%.
the graph is directly proportional
Formula: Periodxlength The only numbers you plug in are period and length. X remains a variable.
The graph is a straight line, passing through the origin, with a slope equal to the speed of the wave.
A pendulum moves in simple harmonic motion. If a graph of the pendulum's motion is drawn with respect with respect to time, the graph will be a sine wave. Pure tones are experienced when the eardrum moves in simple harmonic motion. In these cases "wave" refers not to the thing moving, but to the graph representing the movement.
When time can be considered a function of one of the other variables. An example, from physics, would be the length of a simple pendulum and its period of oscillation. Form medicine it could be treatment and time until symptoms abate.
On a mass vs period graph, the relationship between mass and period is typically represented by a straight line. This means that as the mass of an object increases, the period of its motion also increases in a linear fashion.
The given speed is constant for the given period
The question as asked is tough to answer without some assumptions... The question implies that a comparison is being made to the action of the same pendulum on earth. With that assumption... The graph I assume has time on the x-axis and a form of pendulum oscillating measurement (such as height or back (-1) to forward (+1) ) on the y-axis. The period ( time from peak to peak on the y-axis ) of the pendulum on the moon compared to the same on earth will be 6 times longer assuming that gravity on the moon is 1/6th that of earth. The reason why the period is longer is that the acceleration (gravity) on the moon is much less. This causes the pendulum on the moon to move back and forth less quickly.
time and angle. this will show a sinusoidal graph of presumably deteriorating magnitude.