Practical 3 - Measurement of g with a pendulum Flashcards

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1
Q

How is the period of a pendulum related to the length of the pendulum?

A

By the equation T = 2pi √l/g

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2
Q

How do we re-arrange the equation T = 2pi √l/g to obtain a linear equation?

A

Square it all
T^2 = (4pi^2/g) x l

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3
Q

What goes along the x-axis of the graph?

A

l —> length (m)

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4
Q

What goes along the y-axis of a graph?

A

T^2

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5
Q

What would the gradient of an l against T^2 graph be?

A

4pi^2/g

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6
Q

Method

A

The pendulum bob is displaced a few cm and allowed to swing freely
Crouching so that eye is perpendicular to the stand, start timing as the pendulum passes the stand in a certain direction
Count 10 oscillations and stop timing as it passes the same direction

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7
Q

How do we count a singular oscillation?

A

Counting the pendulum swinging back AND forth

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8
Q

What can l be measured to?

A

+-2mm

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9
Q

What is reaction time taken to be?

A

+-0.2s

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10
Q

What’s the uncertainty in reaction time for this practical?

A

+-0.4s, as reaction time is usually taken to be +-0.2s, so a total of +-0.4s for the start and finish times

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11
Q

How do we work out the % uncertainty of a value?

A

Uncertainty
—————— x100
Value

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12
Q

How do we calculate the uncertainty in T^2?

A

% uncertainty x2 (as it’s squared) of T^2

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13
Q

Where do we measure to for l?

A

To the middle of the sphere

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14
Q

What do we use to count the oscillations?

A

A fixed point

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15
Q

Name for the specific point used in this type of practical

A

Fiducial

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