The constant angular acceleration (in rad/sĀ²) of the centrifuge is 255.66 rad/sĀ².
Constant angular acceleration of the centrifuge
The constant angular acceleration of the centrifuge is calculated as follows;
ĻfĀ² = ĻiĀ² - 2Ī±Īø
where;
- Ļf is the final angular velocity
- Ļi is initial angular velocity
- Īø is angular displacement
- Ī± is angular acceleration
When the centrifuge is switched off, the final angular velocity = 0
Initial angular velocity: Ļi = 3,750 rev/min x 2Ļ rad/rev x 1 min/60 s = 392.7 rad/s
angular displacement: Īø = 48 rev = 48 rev x 2Ļ rad/rev = 301.6 rad
0 = ĻiĀ² - 2Ī±Īø
2Ī±Īø = ĻiĀ²
Ī± = ĻiĀ²/2Īø
Ī± = (392.7Ā²) / (2 x 301.6)
Ī± = 255.66 rad/sĀ²
Thus, the constant angular acceleration (in rad/sĀ²) of the centrifuge is 255.66 rad/sĀ².
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