PHYSIZI Learning Assignment: Newton's Laws for Rotational Forces 1. A long, thin rod of length 0.5m and mass \"(3 initially at rest is pinned down at one end to a frictionless table. A bottle rocket is attached perpendicular to the rod at its midpoint. When the bottle rocket is lit, the constant force it produces rotates the rod around its pinned end exactly 12 revolutions over a time period of 3 seconds before it stops burning. a) What is the equation for the moment of inertia of this rod? What is its moment of inertia? b) What is the angular acceleration of the spinning rod while the bottle rocket is burning? c) What is the magnitude of the force provided by the bottle rocket when it is burning? d) How fast is the rod spinning at the moment the bottle rocket stops burning? 2. Now repeat the previous exercise, but this time using a rod that is 1.5m long and is pinned down at its midpoint. Also, assume a different bottle rocket is used that is now connected perpendicular to the rod at one end and it causes the rod to spin exactly 18 revolutions in 4 seconds while lit. a) What is the equation for the moment of inertia of this rod? What is its moment of inertia? b) What is the angular acceleration of the spinning rod while the bottle rocket is burning? c) What is the magnitude of the force provided by the bottle rocket when it is burning? d) How fast is the rod spinning at the moment the bottle rocket stops burning