Simple Pendulums: Calculating Time to Attain Greatest Speed

  • Thread starter Thread starter alyse!!
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating the time it takes for a simple pendulum, with a string length of 0.67 m, to reach its maximum speed after being released from rest. The initial calculation used the formula for frequency, f = (1/2π)(g/L)^(1/2), yielding a frequency of 6.007 Hz. However, the correct approach requires dividing the period (T) by 4, as the pendulum reaches its maximum speed at one-quarter of the total period, which is T = 1/f.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with pendulum mechanics
  • Knowledge of the formulas for frequency and period
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the derivation of the simple pendulum period formula, T = 2π√(L/g)
  • Learn how to calculate maximum speed in simple harmonic motion
  • Explore the effects of varying string length on pendulum frequency
  • Investigate the impact of amplitude on the period of a pendulum
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of pendulum motion.

alyse!!
Messages
1
Reaction score
0

Homework Statement




A simple pendulum is made from a 0.67 m long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Homework Equations



f=frequency
f=(1/2pi)(g/L)^.5

f=1/T
where T=period

The Attempt at a Solution




f=1/T

f=(1/2pi)((9.8m/s^2)/0.67m))^.5
f=6.007

f=1/T
6.007=1/T
T=1/6.007
T=.166s

This is the answer that i got but it is wrong and i do not know why, and now how to do it if this is the wrong way.
 
Physics news on Phys.org
alyse! said:
f=(1/2pi)((9.8m/s^2)/0.67m))^.5
f=6.007
Redo this calculation.
 
Redo the calculation, perhaps, and divide period by 4, since reaching the bottom takes one-quarter of the period.
 

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
How can I accurately calculate the quantum number of a pendulum?
  • · Replies 17 ·
Replies
17
Views
3K
Simple Harmonic motion of a Pendulum
  • · Replies 1 ·
Replies
1
Views
1K
Time to Reach Highest Speed of Simple Pendulum
  • · Replies 1 ·
Replies
1
Views
6K
Why Does T^2 Not Directly Correspond to L in Compound Pendulums?
  • · Replies 2 ·
Replies
2
Views
2K
What Is the Time to Maximum Speed in a Simple Pendulum?
  • · Replies 2 ·
Replies
2
Views
3K
Question on pendulum and cord tension
  • · Replies 5 ·
Replies
5
Views
3K
Tension in the string of a simple pendulum
  • · Replies 4 ·
Replies
4
Views
3K
Pendulum Period on Earth and Mars
  • · Replies 6 ·
Replies
6
Views
7K