A softball player swings a bat, accelerating it from rest to 2.6 rev/srev/s in a time of 0.20 ss . Approximate the bat as a 0.90-kgkg uniform rod of length 0.95 mm, and compute the torque the player applies to one end of it.

Explanation:

information we have:

mass:

lenght:

frequency:

time:

and from the information we have we can calculate the angular velocity . which is defined as

----------------------------

Now, to calculate the torque

We use the formula

where  is the moment of inertia and is the angular acceleration

moment of inertia of a uniform rod about the end of it:

substituting known values:

for the torque we also need the acceleration which is defined as:

susbtituting known values:

and finally we substitute and    into the torque equation :