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An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. a. What is its angular acceleration in rad/s²? b.What is the tangential acceleration (in m/s²) of a point 10.00 cm from the axis of rotation? c. What is the radial acceleration in m/s²? and in multiples of g of this point at full rpm?

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Answered 1 year ago
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Given:

  • Initial angular velocity: ωi=0 rpm\omega_i = 0 \text{ rpm};
  • Final angular velocity: ωf=100,000 rpm\omega_f= 100,000 \text{ rpm};
  • Time: t=2 min=120 st = 2 \text{ min} = 120 \text{ s};
  • The distance from the axis: d=10 cm=0.1 md = 10 \text{ cm}=0.1 \text{ m};

Required:

a) The angular acceleration;

b) The tangential acceleration;

c) The radial acceleration;

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