Simple Harmonic Motion

#1
A grandfather clock uses a simple pendulum to keep an accurate track of time. The seconds hand of the clock moves forward exactly one second each time it moves forward from A to C, and another second each time it moves from C to A.
Determine the length of the pendulum in a grandfather clock that would accurately tell the time. The average gravitational field strength (g) at the Earth's surface is 9.81 ms^(-2).

In this case A and C are the points of maximum amplitude/displacement. So the period would be 2 seconds and the frequency would be 0.5Hz.

But how am I supposed to work out the length???
0
1 year ago
#2
(Original post by lege-lego)
A grandfather clock uses a simple pendulum to keep an accurate track of time. The seconds hand of the clock moves forward exactly one second each time it moves forward from A to C, and another second each time it moves from C to A.
Determine the length of the pendulum in a grandfather clock that would accurately tell the time. The average gravitational field strength (g) at the Earth's surface is 9.81 ms^(-2).

In this case A and C are the points of maximum amplitude/displacement. So the period would be 2 seconds and the frequency would be 0.5Hz.

But how am I supposed to work out the length???
Is there a formula for simple pendulums in the formula sheet?

1
1 year ago
#3
(Original post by lege-lego)
A grandfather clock uses a simple pendulum to keep an accurate track of time. The seconds hand of the clock moves forward exactly one second each time it moves forward from A to C, and another second each time it moves from C to A.
Determine the length of the pendulum in a grandfather clock that would accurately tell the time. The average gravitational field strength (g) at the Earth's surface is 9.81 ms^(-2).

In this case A and C are the points of maximum amplitude/displacement. So the period would be 2 seconds and the frequency would be 0.5Hz.

But how am I supposed to work out the length???
T=2*pi* root (l/g). (this is at the bottom of the formula sheet) You know length and gravity so you can sub in T too and you have your answer!
1
#4
(Original post by Joinedup)
Is there a formula for simple pendulums in the formula sheet?

thanks for this! I'm going to save this formula sheet haha

(Original post by tande33)
T=2*pi* root (l/g). (this is at the bottom of the formula sheet) You know length and gravity so you can sub in T too and you have your answer!
Also, thank you tande. This helped too!
0
1 year ago
#5
(Original post by lege-lego)
thanks for this! I'm going to save this formula sheet haha

Also, thank you tande. This helped too!
Happy to help. BTW you can get the full formula sheet at this link https://filestore.aqa.org.uk/resourc...A-7408-SDB.PDF. It is the one you are given in the exam (if you do aqa)
0
#6
thanks!
0
1 year ago
#7
nice
0
1 year ago
#8
lege-lego
0
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