1) The blades in a blender rotate at a rate of 6540 rpm. When the motor is turne

Question

1) The blades in a blender rotate at a rate of 6540 rpm. When the motor is turned off during operation, the blades slow to rest in 3.66 s. What is the angular acceleration as the blades slow down?

2) A grinding wheel 0.500 m in diameter rotates at 2024 rpm. Calculate its angular velocity in rad/s. Do not enter unit.

What are the linear speed and acceleration of a point on the edge of the grinding wheel. Enter linear speed first

3) How fast (in rpm) must a centrifuge rotate if a particle 7.01 cm from the axis of rotation is to experience an acceleration of 84000g's?

If have time try this 5 further questions for 1500 points!

Explanation / Answer

1) a =( 6540*2*pi/60 )/3.66 = 187 rad/s^2

2) w = 2024*2*pi/60 = 211.84

   v = r*w = 52.96 m/s

    a = v^2/r = 1.12*10^4 m/s^2

3)84000*9.8 = r*w^2

w = 3426 rad/s = 32740 rpm

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