Answer:
The angular speed of the 6 inch pulley is 2 revolutions per minute.
Explanation:
Consider the provided information.
Two pulleys, one with radius 3 inches and one with radius 6 inches, are connected by a belt. If the 3 dash inch pulley is caused to rotate at 4 revolutions per minute,
It is given that r₁ = 6 in, r₂ = 3 in, ω = 4 rev/min
The angular speed of the 3 inches pulley is 4.
v₁=3×4
v₁=12
Similarly for v₂
Let the angular speed of the 6 inches pulley be ω.
Then its linear speed v₂ is:
v₂=6ω
Equate the linear speed of the pulleys as shown.
v₁=v₂
12=6ω
ω=2
Hence, the angular speed of the 6 inch pulley is 2 revolutions per minute.