How will the oscillation period of the pendulum change if the mass of the ball is doubled and
August 10, 2021 | education
| How will the oscillation period of the pendulum change if the mass of the ball is doubled and the length of the pendulum thread is reduced by 4 times?
The oscillation period of the pendulum is given by the formula:
T = 2 * pi * root (l / g) (1),
where l is the length of the thread, g is the acceleration of gravity.
There is no mass in the formula, therefore, the period does not depend on the mass.
Let’s write the formula for the changed length:
T₁ = 2 * pi * root (l / 4g) = pi * root (l / g) (2).
Comparing (1) and (2), we see that with a decrease in the length of the thread by 4 times, the period decreased by half.
Answer: The oscillation period will be halved.
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