Ask Question
12 November, 07:24

Two pulleys, one with radius 2 inches and one with radius 7 inches , are connected by a belt. If the 2 dash inch pulley is caused to rotate at 3 revolutions per minute , determine the revolutions per minute of the 7 dash inch pulley. (Hint: The linear speeds of the pulleys are the same, both equal the speed of the belt.)

+4
Answers (2)
  1. 12 November, 07:56
    0
    The angular speed of the 7 inch pulley is 6/7 or 0.8571 revolutions per minute.

    Step-by-step explanation:

    Consider the provided information.

    Two pulleys, one with radius 2 inches and one with radius 7 inches , are connected by a belt.

    It is given that r₁ = 7 in, r₂ = 2 in, ω = 3 rev/min

    The angular speed of the 2 inches pulley is 3.

    v₁=2*3

    v₁=6

    Similarly for v₂

    Let the angular speed of the 7 inches pulley be ω.

    Then its linear speed v₂ is:

    v₂=7ω

    Equate the linear speed of the pulleys as shown.

    v₁=v₂

    6=7ω

    ω=6/7

    ω=0.8571

    Hence, the angular speed of the 7 inch pulley is 6/7 or 0.8571 revolutions per minute.
  2. 12 November, 10:03
    0
    6/7 revolutions per minute

    Step-by-step explanation:

    The relative speeds are inversely proportional to the radii, so the larger pulley is rotating at 2/7 the speed of the smaller one.

    larger pulley rotation rate = (3 rev/min) (2/7) = 6/7 rev/min
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Two pulleys, one with radius 2 inches and one with radius 7 inches , are connected by a belt. If the 2 dash inch pulley is caused to rotate ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers