1. Angular Velocity (ω)
* Convert RPM to radians per minute:
* 1 revolution = 2π radians
* 80 RPM = 80 revolutions/minute * 2π radians/revolution = 160π radians/minute
* Convert radians per minute to radians per second:
* 1 minute = 60 seconds
* ω = 160π radians/minute * (1 minute/60 seconds) = (8π/3) radians/second
2. Linear Velocity (v)
* Relationship between angular and linear velocity:
* v = ω * r, where r is the radius of the pulley.
* Calculate linear velocity:
* v = (8π/3 radians/second) * 6 cm = 16π cm/second
Therefore:
* The angular velocity of the pulley is (8π/3) radians/second.
* The linear velocity of the belt is 16π cm/second.
