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GursodhGill
28403146
L2E
Simple Pendulum
1. You want to make a simple pendulum on earth that has the period of 2.5
seconds. (g=9.8m/s^2)
a) How long should the string be and what should the mass be?
b) If the pendulum is taken to a very high altitude, does the period increase
of decrease? Explain.
c) How does the length affect a simple pendulum?
Answers
a) The period and frequency are given by the equation T=2πsqrt(L/g)
Rearranging it to solve for the Length (L) you get L=gT^2/4π^2. After
plugging in all the numbers you get 9.8x2.5^2/4π^2=1.55m. Themass has
no effect on a simple pendulum. The Force driving the pendulum is gravity.
If the pendulum has twice the mass, gravity pulls twice as hard. A
pendulum that is twice the mass feels twice the pull, and also has twice the
resistanceto that pull. Therefore these two effects cancel or balance out.
b) The period increases because the acceleration due to gravity decreases as
you move higher up fromsea level. Therefore you have the length being
divided by a smaller ‘g’ producing a greater period.
GursodhGill
28403146
L2E
c) If u add length to a pendulum the period of oscillation increases because
distance of its swing is increased. If a longer rope is given the sameangular
displacement as a small ropethe forcewill be the same but the mass point
has to cover a larger distanceduring an oscillation.

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Simple pendulum

  • 1. GursodhGill 28403146 L2E Simple Pendulum 1. You want to make a simple pendulum on earth that has the period of 2.5 seconds. (g=9.8m/s^2) a) How long should the string be and what should the mass be? b) If the pendulum is taken to a very high altitude, does the period increase of decrease? Explain. c) How does the length affect a simple pendulum? Answers a) The period and frequency are given by the equation T=2πsqrt(L/g) Rearranging it to solve for the Length (L) you get L=gT^2/4π^2. After plugging in all the numbers you get 9.8x2.5^2/4π^2=1.55m. Themass has no effect on a simple pendulum. The Force driving the pendulum is gravity. If the pendulum has twice the mass, gravity pulls twice as hard. A pendulum that is twice the mass feels twice the pull, and also has twice the resistanceto that pull. Therefore these two effects cancel or balance out. b) The period increases because the acceleration due to gravity decreases as you move higher up fromsea level. Therefore you have the length being divided by a smaller ‘g’ producing a greater period.
  • 2. GursodhGill 28403146 L2E c) If u add length to a pendulum the period of oscillation increases because distance of its swing is increased. If a longer rope is given the sameangular displacement as a small ropethe forcewill be the same but the mass point has to cover a larger distanceduring an oscillation.