Question

the length of simple pendulum that makes 12 oscillation per minute is?

Answer 1

A simple pendulum makes 12 oscillations per minute.

e.g., 12 oscillations in 1 minute

or, 12 oscillations in 60 seconds

or, 1/5 oscillations in 1 second

or, 1 oscillation in 5 seconds.

we know, time period is time taken to complete one complete oscillation.

so, time period , T = 5sec

now using formula, T = $2\pi\sqrt{\frac{l}{g}}$

or, 5 = $2\pi\sqrt{\frac{l}{g}}$

or, 25/4π² = l/g

or, 25g/4π² = l

if we take g = 10m/s² and π = 3.14

then, l = 250/4(3.14)² ≈ 6.34m

hence, length of simple pendulum is 6.34m