2. QUESTIONS
Belle has been baking cookies in the kitchen of the castle, and has
almost forgotten to take them out of the oven if it wasn’t for
Clocksworth’s chime at 12pm. She was fascinated by the pendulum and
wondered how it worked in an actual grandfather clock .
1. What is the period (T) of the swinging pendulum when the the
length (L) of the rod of the pendulum is 0.50m? Assume
gravitational force (g) is of Earth.
2. What is the frequency of the of this of this oscillation using the
same given data from the previous question.
3. THE
GRANDFATHER
CLOCK
The grandfather clock also known as the
pendulum clock. It was invented by a Dutch
Scientist, Christiaan Huygens in 1656. His
creation was inspired by Galileo’s study on the
pendulum where it was discovered to be very
useful for timekeeping.
4. SIMPLE HARMONIC
MOTION IN A PENDULUM
When the pendulum is in a
swinging motion, it is in simple
harmonic motion.
How long it takes for one
swing is highly dependent on
the length of the pendulum.
The speed of the pen
5. SOLUTIONS
Solution to question 1:
List down the given information:
period (T)=?
length of the pendulum (L)=0.50m
gravitational force (g)=9.8m/s
Given this information, we know we can apply the formula:
T= (L/g)^(1/2)
T= (0.50/9.8)^(1/2)
T= 0.22 seconds
This pendulum’s period is 0.22 seconds.
6. SOLUTIONS
Solution to question 2:
Now that we have found the period (T) of this oscillation of the pendulum, we
can use that piece of information to solve for the frequency (f) of the
oscillation.
Use this formula to find the frequency:
f = (1/2pi)(g/L)^(1/2)
f = (1/2pi)(9.8/0.50)^(1/2)
f = 0.70
The frequency is 0.70 per oscillation.