Pendulum acceleration homework

Click For Summary
To calculate the acceleration of gravity using a pendulum, the formula g = (4π²/T²)L is applied, where L is the length of the pendulum. The pendulum is 2.00 m long and completes 84.5 oscillations in 4.00 minutes, leading to a total time of 240 seconds. The mistake identified was using the total time as the period; instead, the period for one oscillation should be calculated by dividing the total time by the number of oscillations. After correcting this, the proper calculation yields a reasonable value for g. The discussion highlights the importance of accurately determining the period of oscillation in pendulum problems.
ahrog
Messages
45
Reaction score
0

Homework Statement



A pendulum with is 2.00 m long makes 84.5 complete oscillations in 4.00 minutes. What is the acceleration of gravity at that spot?


Homework Equations



TG=(4pi^2/T^2)L


The Attempt at a Solution



g=(4pi^2/240s^2)2.00m
g= 0.0013707...

Which doesn't make sense, and it seems way to simple to be getting 8 marks for it. What am I missing?
 
Physics news on Phys.org


Find the time for one oscillation.
 


In your solution you seem to have just put in 240s for the period. This would certainly be true if the pendulum completed one oscillation in four minutes...
 


Oh geez *smacks head* Such an easy solution. Thanks!
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

JEE solution wrong? (tempco of a clock)
  • · Replies 14 ·
Replies
14
Views
2K
Foucault Pendulum at the North Pole
  • · Replies 9 ·
Replies
9
Views
2K
Simulating a Rotary Inverted Pendulum in Python
  • · Replies 15 ·
Replies
15
Views
2K
Equation Demonstration -- Simple Pendulum Analysis
  • · Replies 5 ·
Replies
5
Views
2K
For a Pendulum: Knowing Acceleration Find Maximum Angle
  • · Replies 26 ·
Replies
26
Views
3K
Pendulum max gravity acceleration
  • · Replies 5 ·
Replies
5
Views
2K
Acceleration of gravity at pendulum
  • · Replies 5 ·
Replies
5
Views
2K
Angular frequency of the small oscillations of a pendulum
  • · Replies 3 ·
Replies
3
Views
3K
Oscillations concerning a pendulum
  • · Replies 14 ·
Replies
14
Views
2K
What Happens to a Pendulum's Period at 90 Degrees Inclination?
  • · Replies 13 ·
Replies
13
Views
4K