Answer:
- 273.77 rad/s^2
Explanation:
fo = 3800 rev/min = 3800 / 60 rps = 63.33 rps
f = 0
ωo = 2 π fo = 2 x 3.14 x 63.33 = 397.71 rad/s
ω = 2 π f = 0
θ = 46 revolutions = 46 x 2π radian = 288.88 radian
Let α be the angular acceleration of the centrifuge
Use third equation of motion for rotational motion
[tex]\omega^{2}=\omega _{0}^{2}+2\alpha \theta[/tex]
[tex]0^{2}=397.71^{2}+2 \times \alpha \times 288.88[/tex]
α = - 273.77 rad/s^2
