A rope goes over a circular pulley with a radius of 5.5
If the pulley makes 6 revolutions without the rope slipping, what length of rope passes over the pulley?
6*2π*5.5
To find the length of the rope passing over the pulley, we need to determine the circumference of the pulley and then multiply it by the number of revolutions it makes.
The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius of the pulley is given as 5.5.
So, the circumference of the pulley is C = 2π(5.5) = 11π.
Since the pulley makes 6 revolutions without the rope slipping, the length of rope passing over the pulley is 6 times the circumference. We can multiply the circumference 11π by the number of revolutions (6) to get the final length:
Length of rope passing over pulley = 11π * 6 = 66π (or approximately 207.35 units)
Therefore, the length of rope passing over the pulley is 66π units or approximately 207.35 units.