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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?

Solution

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Given:

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

Required:

a) The angular acceleration;

b) The tangential acceleration;

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