Aim:

To determine if the length of a pendulum affects its period, (T), and compare the theoretical value of (T) to the experimental value.

Background Information:

A simple pendulum is one that can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. For small amplitudes, the period of such a pendulum can be approximated by:

Where

Laws of a simple Pendulum

▪ The period of a simple pendulum of constant length is independent of its mass, size, shape or material.

▪ The period of a simple pendulum is independent of the amplitude of oscillation, provided it is small.

▪ The period of a pendulum is directly proportional to the square root of the length of the pendulum.

▪ The period of a simple pendulum is inversely proportional to the square root of acceleration due to gravity.

Hypothesis:

It is hypothesised that as the length of the pendulum increases, the period (T), will also increase. Providing there is a constant angle of release (or amplitude) as the length of pendulum increases, the distance travelled by the point of measurement ( or ‘bob’) will increase. Hence the period increases.

Apparatus:

- 3 Large nails

- Large protractor

- Tape measure

- String 2m

- 500g Mass (pendulum bob)

- Stopwatch

- Spirit Level and set square

Variables:

Independent Variable – The length of the string

Dependent Variable – The time it takes for the pendulum to oscillate

Controlled Variables – The mass of the bob

– The amplitude

– The string, changed in length

– Controlled environment

Method:

1) A table was drawn that allowed for recordings of raw data – 3 trials of 6 independent variables.

2) The equipment was set up as shown in the diagram...

To determine if the length of a pendulum affects its period, (T), and compare the theoretical value of (T) to the experimental value.

Background Information:

A simple pendulum is one that can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. For small amplitudes, the period of such a pendulum can be approximated by:

Where

Laws of a simple Pendulum

▪ The period of a simple pendulum of constant length is independent of its mass, size, shape or material.

▪ The period of a simple pendulum is independent of the amplitude of oscillation, provided it is small.

▪ The period of a pendulum is directly proportional to the square root of the length of the pendulum.

▪ The period of a simple pendulum is inversely proportional to the square root of acceleration due to gravity.

Hypothesis:

It is hypothesised that as the length of the pendulum increases, the period (T), will also increase. Providing there is a constant angle of release (or amplitude) as the length of pendulum increases, the distance travelled by the point of measurement ( or ‘bob’) will increase. Hence the period increases.

Apparatus:

- 3 Large nails

- Large protractor

- Tape measure

- String 2m

- 500g Mass (pendulum bob)

- Stopwatch

- Spirit Level and set square

Variables:

Independent Variable – The length of the string

Dependent Variable – The time it takes for the pendulum to oscillate

Controlled Variables – The mass of the bob

– The amplitude

– The string, changed in length

– Controlled environment

Method:

1) A table was drawn that allowed for recordings of raw data – 3 trials of 6 independent variables.

2) The equipment was set up as shown in the diagram...