How much do you need to increase the pendulums length by to

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To double the period of a pendulum, the length must be increased by a factor of four, as derived from the equation T = 2π√(length/gravity). The relationship between the new period (Tnew) and the old period (Told) can be expressed as Tnew/Told = 2. By manipulating the equation, it becomes clear that the new length must be four times the original length to achieve this period increase. The discussion emphasizes the importance of showing one's own attempts at solving the problem, as per forum rules. Understanding the underlying physics is crucial for accurate calculations.
jstretto

Homework Statement


How much do you need to increase the pendulums length by to double the pendulums period

Homework Equations



T = 2PI sqrt(length/gravity)

The Attempt at a Solution



Answer is 2sqrt(l). But I don't know how to get there. Any help would be greatly appreciated, thanks.
 
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That answer does not even have the correct physical dimension. Also, please provide your own attempt as per forum rules.
 
You know the ratio Tnew / Told = 2. Start there.
 

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