design an experiment to verify that T is derctly proportional to sqare toot of lenght of the pendulam. (pendulam investigation)
3 answers
Try timing the period with different masses on the end of a string. Graph the results on log paper if you have it. If not then graph square of the period versus the length and see if you get a straight line no matter how big the mass may be.
how do we prove dats T is directly proportional to square root of the length of pendulam?
You can either perform the experiment that Damon has described, or derive the proof using Newton's law and mathematics, by solving the time-dependent differential equation of motion.
The approximation sin x = x is usually made when deriving
T = 2 pi sqrt(L/g)
where x is the amplitude of oscillation
Without the sin x = x approximation, there is an additional amplitude-dependent coefficient (which equals 1 for small angles of oscillation), but the period remains independent of mass.
The approximation sin x = x is usually made when deriving
T = 2 pi sqrt(L/g)
where x is the amplitude of oscillation
Without the sin x = x approximation, there is an additional amplitude-dependent coefficient (which equals 1 for small angles of oscillation), but the period remains independent of mass.
1 answer