Question

The angular speed of a conical pendulum is ​

Answer 1

Answer:

The angular speed of a conical pendulum is

Answer 2

The angular speed of a conical pendulum is $\sqrt{\frac{g}{l Cos \theta} }$

Suppose, the angular speed of a conical pendulum is = ω

     ω = 2πn [where, n = frequency of the pendulum]

We know,

n = 1/T    [T = Total time period of the pendulum]

So,

ω = 2π/T

Now, the effective length for a conical pendulum is = l Cosθ

Where, l = length of the string used to form the conical pendulum

θ = Angle the string made with the vertical.

From the formula of Time period, we get,

T = 2π$\sqrt{\frac{l_{effective} }{g} }$

∴ T = 2π $\sqrt{\frac{l Cos\theta}{g} }$

∴ ω = 2π/2π $\sqrt{\frac{l Cos\theta}{g} }$

⇒ ω = $\sqrt{\frac{g}{lCos\theta} }$

The angular speed of conical pendulum is  $\sqrt{\frac{g}{lCos\theta} }$