A pendulum period is 1 second in a stationary frame of reference. What will an o

Question

A pendulum period is 1 second in a stationary frame of reference. What will an observer measure for the period if moving at a speed of 0.70c relative to the frame of reference
A pendulum period is 1 second in a stationary frame of reference. What will an observer measure for the period if moving at a speed of 0.70c relative to the frame of reference
A pendulum period is 1 second in a stationary frame of reference. What will an observer measure for the period if moving at a speed of 0.70c relative to the frame of reference

Explanation / Answer

Here, T = 1 s.

When the observer moves with a speed of 0.70c relative to the frame of reference -

The new period of the pendulum, T1 = T/sqrt(1-v^2/c^2) = 1/sqrt(1 - 0.70^2) = 1/0.714 = 1.40 s.

So, the time period for the observer moving at a speed of 0.70 c relative to the frame of reference = 1.40 s.

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