A pendulum of length 1m and period 2.01s is placed at the top of MountEveresthaving an altitude of 8849m. Calculate the value of ‘g’ at that point.
Question
A pendulum of length 1m and period 2.01s is placed at the top of MountEveresthaving an altitude of 8849m. Calculate the value of ‘g’ at that point.
Solution
Sure, let's solve this step by step.
The formula for the period of a pendulum is given by:
T = 2π √(L/g)
where: T = period of the pendulum L = length of the pendulum g = acceleration due to gravity
We can rearrange this formula to solve for g:
g = 4π²L/T²
Substituting the given values:
L = 1m T = 2.01s
g = 4π²(1m)/(2.01s)²
Calculate the above expression to get the value of 'g' at the top of Mount Everest.
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