Two configurations for raising an elevator are shown. Elevator A with attached h
ID: 1842861 • Letter: T
Question
Two configurations for raising an elevator are shown. Elevator A with attached hoisting motor and drum has a total mass of 770 kg. Elevator B without motor and drum also has a mass of 770 kg. If the motor supplies a constant torque of 628 N·m to its 300-mm-diameter drum for 2.0 s in each case, find the upward acceleration and determine the corresponding velocity v of the elevator 1.6 s after it starts from rest for each case. Which configuration results in the greater upward acceleration? The mass of the motorized drum is small, thus permitting it to be analyzed as though it were in equilibrium. Neglect the mass of cables and pulleys and all friction
I GOT A I JUST NEED B ACCELERATION AND VELOCITY NOW !!
A). 300 mm (b) vi-104 300 mmExplanation / Answer
The torque on each sprocket is the same and so the force and mass are also same. now we have to consider the distance of the elevator"s pulley from the ground.
TorqueA = TorqueB
Torque = R * F = 2R * F/2
The force will transmit through the center of the wire lifting it, so you may want to add the radius of the wire if it is a significant fraction of the wheel radius.
The torque needed for the second wheel is Ra/Rb times bigger (smaller), regardless of the route it takes in between, and regardless of the size of the first wheel. Only the difference is interesting.
If the first sprocket is small and the second is larger, then the torque you need to turn the larger sprocket with INCREASES.
TorqueA = TorqueB
Torque = R * F = 2R * F/2
The force will transmit through the center of the wire lifting it, so you may want to add the radius of the wire if it is a significant fraction of the wheel radius.
The torque needed for the second wheel is Ra/Rb times bigger (smaller), regardless of the route it takes in between, and regardless of the size of the first wheel. Only the difference is interesting.
If the first sprocket is small and the second is larger, then the torque you need to turn the larger sprocket with INCREASES.
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