1 A top is set spinning with initial angular speed \(83 \mathrm { rad } \mathrm { s } ^ { - 1 }\), and it slows down with constant angular deceleration. When it has turned through 1000 radians, its angular speed is \(67 \mathrm { rad } \mathrm { s } ^ { - 1 }\).
- Find the angular deceleration of the top.
- Find the time taken, from the start, for the top to turn through 400 radians.