2. What is the length of a pendulum that has a period of 0.500 s?

1.	2. What is the length of a pendulum that has a period of 0.500 s?
Answer» Answer: GIVEN: Time PERIOD of pendulum = 0.5 seconds. To find: LENGTH of the pendulum. Calculation: For any simple pendulum having length l , the time period is given as : $\boxed{ \red{ \sf{T = 2\pi \sqrt{ \dfrac{l}{g} }}}}$ PUTTING in a the available data : $\sf{ \implies 2\pi \sqrt{ \dfrac{l}{g} } = 0.5}$ $\sf{ \implies \sqrt{ \dfrac{l}{g} } = \dfrac{0.5}{2\pi} }$ $\sf{ \implies \sqrt{ \dfrac{l}{g} } = 0.0795}$ $\sf{ \implies \dfrac{l}{g} = 0.00632}$ Considering g = 10 m/s² at that POINT on the surface of Earth : $\sf{ \implies l = 0.00632 \times g}$ $\sf{ \implies l = 0.00632 \times 10}$ $\sf{ \implies l = 0.0632 \: m}$ So final answer : $\boxed{ \green{ \sf{ \star \: l = 0.0632 \: m}}}$

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