Auniform thin rod is hung vertically from one end and set into small amplitude oscillation. if the rod has a length of 2.6 m, this rod will have the same period as a simple pendulum of length cm. round your answer to the nearest whole number.

Length of pendulum, l = 1.74 meters

Explanation:

The time period of simple pendulum is,

Where

l is the length of simple pendulum

The time period of  uniform thin rod is hung vertically from one end is,

l' is the length of uniform rod, l' = 2.6 m

It is given that the rod and pendulum have same time period. So,

After solving above expression, the value of length of the pendulum is, l = 1.74 meters. Hence, this is the required solution.

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