Why the graph of T 2 as a function of M does not pass through the origin?

Why the graph of T 2 as a function of M does not pass through the origin?

This graph will not pass through the origin and you should not use the origin as a data point. The x axis intercept will give you the value of μ while the slope gives you the value of k. The graph of T2 vs load m is linear but if μ is not negligible compared with loads m then T2 will not be proportional to m.

What does the slope in the T2 vs L graph represents?

The slope of the T² vs l graph of a pendulum gives the measured value of g (acceleration due to gravity). The time period T of a simple pendulum is given by the formula T = 2π √(l/g).

What is the relationship between mass and period?

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

Why graph does not pass through the origin?

You’re referring to the graph of the pendulum’s trajectory in phase space. Phase space plots position on one axis and velocity on the other. And you can say that it doesn’t pass through the origin because the system doesn’t have zero energy.

What type of graph do you expect between L and T2?

straight line
The graph L versus T is curved, convex upwards. The graph L versus T2 is a straight line.

Why did we plot T2 vs L instead of just T vs L?

Terms in this set (10) Why did we plot T2 vs L instead of just T vs L? By squaring the entire equation, we make T2 linear with L. Suppose Sarah Smith is swinging on a swing at the park. If the chain is 3 meters long, what will be the period (time) of one swing?

How do you calculate period T?

The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.

Is mass and period linear?

The graph of these data show that the relationship between mass and period is not linear. In fact, the fit shows that the period is roughly proportional to the square root of the mass.

What is force constant?

In physics, a force constant is another term for a spring constant, as defined by Hooke’s law. It is a proportionality constant, more precisely. The strength constant k is related to a system’s rigidity (or stiffness), the greater the constant of force, the greater the restored force, and the stiffer the system.

How do you find k constant with slope?

W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.

What is the relationship between time and length?

The period of motion is the amount of time taken to swing back and forth once, measured in seconds and symbolised by T (Kurtus, 2010). Galileo discovered pendulums and he found that the period of motion is proportional to the square root of the length – T∝√l (Morgan, 1995).

What is the relationship between time period and length?

Formula Used: The time period of a simple pendulum of length L is given by, T=2π√Lg where g is the acceleration due to gravity.

Is the origin an intercept?

The y-intercept is (0, 0) As mentioned above, there is only one point that can be both an x- and y- intercept at the same time, the origin (0, 0).

What is it called when a line passes through the origin?

The slope intercept form is y = mx + b, where b is the y-intercept. In the equation y = 2x – 1, the y-intercept is -1. So, if you have an equation like y = 4x, there is no “b” term. Therefore, the y-intercept is zero, and the line passes through the origin.

What does a distance vs time Squared graph show?

In this graph that I made below, the x-axis is t^2 (time squared), and the y-axis is d (distance). From these axes you can tell that it is a graph showing acceleration.

What does T stand for in physics waves?

period of oscillation
In the field of physics, the letter ‘T’ is often used to denote the period of oscillation (commonly reffered to as simply ‘period’). The period of oscillation can be defined as the duration of time between one wave and the next one passing the same spot.

Is period and frequency the same?

Frequency and period are distinctly different, yet related, quantities. Frequency refers to how often something happens. Period refers to the time it takes something to happen. Frequency is a rate quantity.