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An ultracentrifuge accelerates from rest to 100,000 rpm in 1.70 min. (a) what is its angular acceleration in rad/s2? rad/s2 (b) what is the tangential acceleration of a point 10.55 cm from the axis of rotation? m/s2 (c) what is the radial acceleration of this point at full rpm? m/s2 (d) express this radial acceleration as a multiple of g.

Kyle Mckinney

in Physics

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Brandon Scott on January 9, 2018

Gives us the following data:ω = 100000rev/min * (2nrad/rev) * (1min/60s) = 10,500 rad/s t = 1.7 min = 102 s r = 0.1055 m (a) ω = wo + at 10,500 rad/s = 0rad/s s + α*102s α = 102.94 rad/s2 (b) a_t = α r = 102.94 rad/s2 * 0.1055 m = 10.86 m/s2 (c) a_r = ω2 r = (10500rad/s)2 * 0.1055 m = 1.16 x 10^7 m/s2 (d), which is also equal to 1.16 x 10^7 / 9.8 = 1.18 x 10^6 g


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