Physics please help!!
posted by Megan .
How much work must be done to accelerate a baton from rest to an angular speed of 7.27 rad/s about its center? Consider the baton to be a uniform rod of length 0.529 m and mass 0.478 kg

Physics please help!! 
drwls
The moment of inertia of a uniform rod, about a line through the center and perpendicular to the rod, is
I = M L^2/12
The kinetic energy of the rotating rod is (I/2)* w^2
w = 7.27 rad/s L = 0.529 m
M = 0.478 kg
Calculate that kinetic energy. It equals the work required.
Respond to this Question
Similar Questions

AP Physics
A uniform thin rod of length 0.3m and mass 3.5kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3g bullet traveling in the horizontal plane of the rod is fired into one end of the … 
physics
A long uniform rod of length 4.76 m and mass 5.48 kg is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a vertical position as in the figure. (A) At the instant the rod is horizontal, … 
Physics
A high school cheerleader has a baton that is 1 meter long with a 100 gram mass on each end. Another cheerleader has a baton that is 0.5 meter long with the same mass on each end. Neglecting the mass of the rod holding the masses together, … 
physics
A uniform horizontal rod of mass 2.4 kg and length 0.86 m is free to pivot about one end as shown. The moment of inertia of the rod about an axis perpendicular to the rod and through the center of mass is given by I = (m*l^2)/12 If … 
Phy 231
A baton consists of a nearly massless rod of length L and two spheres attached to the end of the rod, whose masses are each M and whose centers are separated by L. The spheres have radius R. If the sphere radius R is not negligible … 
physics
a cheerleader has a baton that is 1 meter long and has a 100 gram mass on both ends another cheerleader has a baton that is 0.5 meterlong and has 100 gram masson both ends. Neglecting the mass of the rod holding the masses together, … 
physics
How much work must be done to accelerate a baton from rest to an angular speed of 8.0 rad/s about its center. Consider the baton to be a uniform rod of length 0.84 m and mass 0.64 kg. 
Physics
A baton twirler tosses a baton into the air with an initial angular velocity of 2 rev/s (revolutions per second). The baton undergoes a constant angular acceleration of .015 rev/s^2 while in the air, and its angular velocity when … 
physics
A uniform thin rod of length 0.55 m and mass 5.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is a rest when a 3.0g bullet traveling in the horizontal plane of the rod is fired into one end … 
physics
A uniform rod is set up so that it can rotate about a perpendicular axis at one of its ends. The length and mass of the rod are 0.849 m and 1.17 kg. What constantmagnitude force acting at the other end of the rod perpendicularly both …