The angular speed of the rotor in a centrifuge increases from 420 to 1420 rad/s in a time of 5.00 s.
(a.)What is the angle through which the rotor turns.
(b.)What is the magnitude of the angular acceleration?

Solution Summary

Quick calculations are displayed to find the angle a rotor turns though and the magnitude of its angular acceleration.

A helicopter has 3 blades, each of them are 5.20m long and has a mass of 220kg.(each blade has a mass of 220kg, not the sum of the 3) The rotor is rotating at 385 rev/min.
a)What is the rotational inertia of the rotor assembly about the axis of rotation? (Each blade can be considered to be a thin rod rotated about one
end.)

Learning Goal: To understand the meaning of the variables that appear in the equations for rotationalkinematics with constant angular acceleration.
Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or o

A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.2 m down a q = 23° incline. The sphere has a mass M = 4.1 kg and a radius R = 0.28 m.
a) Of the total kinetic energy of the sphere, what fraction is translational?
b) What is the translational kinetic energy of the sphere when i

A motor is running at 12 rpm and the switch is flipped and cuts the power. The rotor weighs 75 lbs. The radius of gyration of the rotor is 6``. The rotor experiences an average friction moment 6 lb/in. How many seconds does it take for the rotor to come to rest?

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s/s. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

1. An impulse air turbine rotor with a blade speed (U) of 300 m/s is measured to have a relative rotor inlet velocity (W_1) of 750 m/s at an angle of 69 degrees and an outlet relative velocity (W_2) of 660 m/s. Th temperature and pressure in the rotor are 375 K, 0.83 bar. Calculate the rotor efficiency, rotational speed and powe

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.9 m above the water. One diver runs off the edge of the cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.2 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the

See the attached file.
We are presented with a 17000 gallon tank of water; the tank has specific dimensions and has a 75 horsepower agitator as noted and located in the attached file. The agitator is turning 385 rpm and the blades have a dimension of 42 inches tip to tip.
We are asked to calculate the forces the rotating a