In using a pulley system,an Effort of 100N is needed to raise steadly a load of 800N.(a)what is the mechanical advantage?(b)if this Effort moves through a distance of 20m and the load is moved up a distance of 2m caculate the velocity ratio.
800/100 = 8
20/2 = 10
we lose 2 out of 10 to friction, should just need 80 N if the bearings were perfect
To calculate the mechanical advantage and velocity ratio in this pulley system, we need to understand the basic principles involved.
(a) Mechanical Advantage:
The mechanical advantage of a pulley system is the ratio of the load force (output force) to the effort force (input force) required to lift the load. It is determined by the number of supporting ropes or strands involved.
In this case, an effort of 100N is required to raise a load of 800N. The mechanical advantage (MA) can be calculated using the formula:
MA = Load / Effort
MA = 800N / 100N
MA = 8
Therefore, the mechanical advantage of this pulley system is 8.
(b) Velocity Ratio:
The velocity ratio in a pulley system is the ratio of the distance moved by the effort to the distance moved by the load. It tells us how much the effort needs to move compared to how much the load moves.
In this case, the effort moves a distance of 20m, while the load is moved up a distance of 2m. The velocity ratio (VR) can be calculated using the formula:
VR = Distance moved by Effort / Distance moved by Load
VR = 20m / 2m
VR = 10
Therefore, the velocity ratio of this pulley system is 10.
In summary:
(a) The mechanical advantage is 8.
(b) The velocity ratio is 10.