Question

Find the height of a conical pendulum if the time period is given.

Answer 1

If we have the length of the string and the time period, we can calculate the height using the following steps:

Identify the length of the string in meters.
Calculate the time period of the conical pendulum in seconds.
Determine the value of gravitational acceleration, typically taken as 9.8 m/s².
Use the formula for the time period of a conical pendulum: T = $2\pi\sqrt{(\frac{h}{g})}$, where T is the time period, h is the height, and g is the gravitational acceleration.
Rearrange the formula to solve for the height: h = $(\frac{T}{2\pi})^{2}\times g$.
Substitute the known values of T and g into the formula and calculate the height.
Please note that this calculation assumes a perfectly ideal conical pendulum and neglects factors like air resistance and the mass of the string.