The constant angular acceleration (in rad/s²) of the centrifuge is 255.66 rad/s².
Constant angular acceleration of the centrifuge
The constant angular acceleration of the centrifuge is calculated as follows;
ωf² = ωi² - 2αθ
where;
- ωf is the final angular velocity
- ωi is initial angular velocity
- θ is angular displacement
- α is angular acceleration
When the centrifuge is switched off, the final angular velocity = 0
Initial angular velocity: ωi = 3,750 rev/min x 2π rad/rev x 1 min/60 s = 392.7 rad/s
angular displacement: θ = 48 rev = 48 rev x 2π rad/rev = 301.6 rad
0 = ωi² - 2αθ
2αθ = ωi²
α = ωi²/2θ
α = (392.7²) / (2 x 301.6)
α = 255.66 rad/s²
Thus, the constant angular acceleration (in rad/s²) of the centrifuge is 255.66 rad/s².
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