The length of a simple pendulum is 0.75 m, the pendulum bob has a mass of 312 grams, and it is released at an angle of 11° to the vertical.
2007-01-13 09:35:13 · 2 answers · asked by 3ajeeba_q8 2 in Science & Mathematics ➔ Physics
(a) With what frequency does it vibrate? Assume SHM.
(b) What is the pendulum bob's speed when it passes through the lowest point of the swing?
(c) What is the total energy stored in this oscillation, assuming no losses?
2007-01-13 09:36:10 · update #1
a. My book says that for "small displacements", the period T is given by the formula
T = 2*pi*sqrt(L/g) and frequency = 1/T.
Regarding "small displacements", my book says the error in this assumption is .51% when the displacement is 10°, and 1.14% at 15°.
c. Total energy = potential energy just before it is released. An exercize in trigonometry will show you that at 11° displacement, the bob is elevated
L - L*cos11° above its lowest point. You can calculate potential energy from that.
b. You can calculate the bob's speed at the lowest point from the fact that max potential energy = max kinetic energy.
2007-01-13 14:33:17 · answer #1 · answered by sojsail 7 · 1⤊ 0⤋
It should have something like a square root proportionality. Can't quite exactly remember the formula. Search for the formula of a pendulum. When looking at all of the variables, pretend they're all constant besides the length and basically, it'll show u how the length will affect the period.
2016-05-23 22:01:05 · answer #2 · answered by Elaine 4 · 0⤊ 0⤋