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The angular displacement of the centrifuge is given by e = 4.7[t + 33e-(0.030t) - 33] rad, (here -33 is not in the power only -0.030 is in the power) where t is in seconds and t = 0 is the startup time. If the person loses consciousness at an acceleration level of 10.5g, determine the time t at which this would occur. Verify that the tangential acceleration is negligible as the normal acceleration approaches 10.5g.

The angular displacement of the centrifuge is given by e = 4.7[t + 33e-(0.030t) - 33] rad, (here -33 is not in the power only -0.030 is in the power) where t is in seconds and t = 0 is the startup time. If the person loses consciousness at an acceleration level of 10.5g, determine the time t at which this would occur. Verify that the tangential acceleration is negligible as the normal acceleration approaches 10.5g.

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The angular displacement of the centrifuge is given by 0 = 4.7[t + 33e-(0.030t) - 33] rad, (here -33 is not in the power only -0.030 is in the power) where t is in seconds and t = 0 is %3D the startup time. If the person loses consciousness at an acceleration level of 10.5g, determine the time t at which this would occur. Verify that the tangential acceleration is negligible as the normal acceleration approaches 10.5g. -0.03ot -33 ad estforantite the abou qpatin tget angalae valectty -0] aud/s Angulat diglacement 0 = 4.7[t +33e dt The nemel accfoation, an = Rw whe R= Yadlus 4 the Cantikuge. 10, s(9.8)ms)= R(47(1-0.99 eo3t) lo 3.00 S 4.7(1-0.99e0.e3t) 103.005 4.7 4.653 e R 103-005 e-erest 4.7 4.653 -0-03t= n 4.7-J 4.653 103.005 t -33.33 en4.7-. 4.653 fa angulas aceleratfan, 4-7[0+33(-0•030)e03t dt E 0-139 53 e-0-elt Theupre, togortal arudeatlon at: RX : R (0.139 59 exn 4.653 At- R[0.139 59 expl In47 4•653
Transcribed Image Text:The angular displacement of the centrifuge is given by 0 = 4.7[t + 33e-(0.030t) - 33] rad, (here -33 is not in the power only -0.030 is in the power) where t is in seconds and t = 0 is %3D the startup time. If the person loses consciousness at an acceleration level of 10.5g, determine the time t at which this would occur. Verify that the tangential acceleration is negligible as the normal acceleration approaches 10.5g. -0.03ot -33 ad estforantite the abou qpatin tget angalae valectty -0] aud/s Angulat diglacement 0 = 4.7[t +33e dt The nemel accfoation, an = Rw whe R= Yadlus 4 the Cantikuge. 10, s(9.8)ms)= R(47(1-0.99 eo3t) lo 3.00 S 4.7(1-0.99e0.e3t) 103.005 4.7 4.653 e R 103-005 e-erest 4.7 4.653 -0-03t= n 4.7-J 4.653 103.005 t -33.33 en4.7-. 4.653 fa angulas aceleratfan, 4-7[0+33(-0•030)e03t dt E 0-139 53 e-0-elt Theupre, togortal arudeatlon at: RX : R (0.139 59 exn 4.653 At- R[0.139 59 expl In47 4•653
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