Integrated Concepts 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 of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
Step-by-step solution Step 1 of 6 Equation to find the angular velocity is, Here is the final angular velocity, is the initial angular velocity, is the angular acceleration, is the time taken. Step 2 of 6 (a) Convert the angular velocity into rad/s, Apply the above formula, Here is the final angular velocity, is the initial angular velocity, is the angular and is the time taken. Step 3 of 6 Substitute the values of for , for and for . Therefore, the angular acceleration is . ________________________________________________________________________ (b) The formula to find the tangential acceleration , Here is the tangential acceleration and is the radius.