Ryan is swinging a 0.2 kg ball tied to a string around his head in a flat, horizontal circle. The radius of the circle is 0.40 m, and linear speed is 1.3 m/s. Find the centripet…

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asked Jan 13, 2021 116k views

1 Answer

Myridium · Answer 1 · 2021-01-20T14:30:20+0000

Hello!!

How you now, first we have to calculate centripetal aceleration, for that we know what:

$\boxed{\alpha =(v^(2) )/(r) }$

$\textbf{Being:}$

$\sqrt{}$
$\alpha = Centripetal\ aceleration= \ ?$

$\sqrt{}$
$r = Radius = 0,4\ m$

$\sqrt{}$
$v = Linear \ speed = 1,3\ m/s$

$\textbf{So let's replace and resolve it}$

$\alpha = ((1,3\ m/s)^(2))/(0,4\ m)$

$\alpha = 4.225 \ m / s^(2)$

And, for calculate centripetal force, lets applicate the formula:

$\boxed{ F = m * \alpha }$

$\textbf{Being:}$

$\sqrt{}$
$\alpha = Centripetal\ aceleration= \ 4,225\ m/ s^(2)$

$\sqrt{}$
$F = Centripetal \ force = ?$

$\sqrt{}$
$m = Mass = 0,2\ kg$

$\textbf{So let's replace and resolve it}$

$F = 0,2 \ kg * 4,225\ m /s^(2)$

$F = 0.845\ N$

$\text{The centripetal force is \textbf{0,845 N} }$

Good Luck!!