Question

Mr or ms i think the ansewr is 0.74 it is corcet or not

Answer 1

Given,

The mass of the ball, m=16 g=16×10⁻³ kg

The length of the string, r=1.4 m

The period of revolution of the ball, T=1.09 s

The angular velocity of the ball is given by,

`\omega=(2\pi)/(T)`

On substituting the known values,

`\begin{gathered} \omega=(2\pi)/(1.09) \\ =5.76\text{ rad/s} \end{gathered}`

The tension on the string will be equal to the centrifugal force that acts on the ball.

And it is given by,

`F=m\omega^2r`

On substituting the known values,

`\begin{gathered} F=16*10^(-3)*5.76^2*1.4 \\ =0.74\text{ N} \end{gathered}`

Thus the magnitude of the tension of the string is 0.74 m