An elevator (mass 4125 kg) is to be designed so that the maximum acceleration is 0.0400g.
What is the maximum force the motor should exert on the supporting cable?
What is the minimum force the motor should exert on the supporting cable?
max force= mg+ ma
I would add in the masses of the maximum number of passengers, that will be what needs to be lifted.
Minimum force=mg
what if there are no passengers? for max force i got 330 and for the min force i got 165
max force = mga+ mg
max force = Mass x gravity( 1+ gravity)
max force =4125 x 9.8(1+9.8)
max force =42042
min force = mg- mga
min force = mass x gravity(1- gravity)
min force =4125 x 9.8 (1- 0.04)
min force= 388808
I made a mistake for the max for the correction is max force = mass x gravity( 1 + acceleration)
Don't forget to write your answers in Newton (N)
errrdx
To find the maximum force the motor should exert on the supporting cable, we can use Newton's second law of motion, which states that F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, the acceleration is given as 0.0400g, where g is the acceleration due to gravity (9.8 m/s^2).
Step 1: Calculate the maximum acceleration:
a = 0.0400g
= 0.0400 * 9.8 m/s^2
Step 2: Calculate the maximum force:
F = ma
= m * (0.0400 * 9.8)
= 4125 kg * (0.0400 * 9.8) N
Performing the calculation:
F = 4125 * (0.0400 * 9.8) N
The maximum force the motor should exert on the supporting cable is the calculated value from above.
To find the minimum force the motor should exert on the supporting cable, we need to take into account the fact that the elevator might be moving downward and could experience a negative acceleration.
Step 1: Calculate the minimum acceleration:
Since the acceleration is given in terms of g, we can assume it is negative when the elevator is moving downward. Hence, the minimum acceleration would be -0.0400g.
Step 2: Calculate the minimum force:
Using the same formula as before, F = ma, but with the negative acceleration value, we have:
F = m * (-0.0400 * 9.8)
F = 4125 kg * (-0.0400 * 9.8) N
Performing the calculation:
F = 4125 * (-0.0400 * 9.8) N
The minimum force the motor should exert on the supporting cable is the calculated value from above.