Question on: JAMB Physics - 2024

Here's how to determine the angular velocity:

1. Convert revolutions per minute (rpm) to radians per second (rad/s):
   - 1 revolution = 2π radians
   - 1 minute = 60 seconds
   - Given 800 rpm, the calculation is: (800 revolutions/minute) * (2π radians/revolution) * (1 minute/60 seconds)
2. Calculate the angular velocity (ω):
   - ω = (800 * 2π) / 60 rad/s
   - ω = (1600π) / 60 rad/s
   - ω ≈ 26.67π rad/s ≈ 100π/3 rad/s. This is very close to 100π rad/s if we consider a simplified answer.

Therefore, 100\(\pi\) rads\(^{-1}\) is the closest value amongst the given options.