A twirler’s baton is 0. 76 m long and spins around its center. The end of the baton has a centripetal acceleration of 47. 8 m/s2. How long does it take the baton to complete one spin? 0. 31 s 0. 56 s 4. 3 s 70 s.

Respuesta :

Lanuel

The number of time it take the twirler’s baton to complete one spin is 0.56 seconds

Given the following data:

  • Diameter = 0.76 meter
  • Centripetal acceleration = 47. 8 [tex]m/s^2[/tex]

Radius = [tex]\frac{0.76}{2}[/tex] = 0.38 m.

To determine the number of time it take the twirler’s baton to complete one spin:

Mathematically, the centripetal acceleration for the twirler’s baton is given by this formula:

[tex]A = \frac{4\pi^2 r}{t^2}[/tex]

Where:

  • r is the radius.
  • t is the time.

Making t the subject of formula, we have:

[tex]t =\sqrt{\frac{4\pi^2 r}{A}}[/tex]

Substituting the parameters into the formula, we have;

[tex]t =\sqrt{\frac{4(3.142)^2 \times 0.38}{47.8}}\\\\t =\sqrt{\frac{39.489 \times 0.38}{47.8}}\\\\t =\sqrt{\frac{15.0058}{47.8}}[/tex]

Time, t = 0.56 seconds

Read more on centripetal acceleration here: https://brainly.com/question/2788500