Answer :

Final answer:

The period of a simple pendulum in an accelerating elevator is calculated by using a modified version of the formula for normal pendulum period, where we consider the sum of the gravitational acceleration and the acceleration of the elevator as the effective gravity. The period is found by replacing these values into the formula: T = 2π√(5/14.81).

Explanation:

The period of a simple pendulum is determined by the formula: T = 2π√(L/g'), where T is the period, L is the length of the pendulum, and g' is the effective gravity. Here, the effective gravity (g') is the resultant of the gravitational acceleration (g=9.81m/s²) and the elevator's acceleration (a=5m/s²). When the elevator is accelerating downwards, g' = g + a. Therefore, the effective gravity becomes 14.81 m/s². Substituting these values into the formula, we get T = 2π√(5/14.81). This equation will calculate the period of a simple pendulum in an elevator accelerating downward.

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