What is the speed v of a uniformly moving conveyor belt if its driving pulley with a diameter

univerkov | January 9, 2021 | education

What is the speed v of a uniformly moving conveyor belt if its driving pulley with a diameter of d = 0.5 m makes one revolution (N = 1) in a time t = 10 s?

Initial data: d (diameter of the driving pulley) = 0.5 m; N (number of revolutions of the drive pulley) = 1 revolution; t (driving pulley rotation time) = 10 s.
The linear speed of the conveyor belt can be calculated by the formula: V = ΔS / Δt. Since the pulley has made one full revolution, then ΔS = 2Π * R = 2Π * 0.5d = Π * d.
The formula will take the form: V = Π * d / t.
Calculation: V = 3.14 * 0.5 / 10 = 0.157 m / s.
Answer: The speed of the conveyor belt is 0.157 m / s.

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