A generator having power and creating work for a crane

In summary, the problem involves a motor with an efficiency of 88% and a crane with an efficiency of 42%, lifting a 410-kg crate of machine parts. The power supplied to the motor is 5.5kW. The equations used are w=fd, p=w/t, ma=fr/dr, ima=de/dr, e=wo/wi, e=ma/ima, wo=frdr, wi=fede, and m=vd. The solution involves finding the minimum force required to lift the crate, which is equivalent to the power supplied to the motor. The final answer is found to be 0.50m/s, with some discrepancy from the answer on the sheet.
  • #1
Bassi
1
0

Homework Statement


"A motor having an efficiencyof 88% operates a crane having an efficiency of 42%. With what constant speed doess the crane lift a 410-kg crate of machine parts if the power supplied to the motor is 5.5kW"
e'=42%
e=88%
m=410 kg
dr=?
de=?
t=?
g=9.8m/s square
fr=410x9.8=4018
p=5500 w
MA=?
IMA=?
wo=?
wi=?

Homework Equations


w=fd
p=w/t
ma=fr/dr
ima=de/dr
e=wo/wi then x100
e=ma/ima then x 100
wo=frdr
wi=fede
m=vd

The Attempt at a Solution


Im not sure if this is correct, but ill give it a shot:
p=w/d so p=frdr/t i think that since u r looking how fast the crane moves, you use 1 as t
so 5500=4018dr/1
so 5500/4018=dr
dr=1.36 so 1.36m/s
However the answer on the sheet says .50m/s so idont know? Please help as soon as possible.
-Bassi
 
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  • #2
It might help you to know that mechanical Power = Force x Velocity at any instant. It should be clear what the minimum force required to lift the box is.
 

1. How does a generator provide power for a crane?

A generator uses mechanical energy to produce electrical energy. In the case of a crane, the generator is typically powered by a diesel engine or a hydraulic system. The generator then converts this energy into electrical power, which is used to operate the motor of the crane.

2. What is the purpose of a generator in a crane?

The main purpose of a generator in a crane is to provide power for the crane to function. This includes powering the motor that moves the crane's boom, lift mechanisms, and any other electrical components of the crane.

3. How much power does a generator need to produce for a crane?

The power needed from a generator for a crane varies depending on the size and weight of the crane, as well as the specific tasks it is performing. Generally, larger cranes require more power to operate.

4. Can a generator be used to power multiple cranes at once?

Yes, a single generator can be used to power multiple cranes at once. However, the size and capacity of the generator must be able to handle the combined power needs of all the cranes. It is important to consult with a professional to determine the appropriate generator size for multiple crane operation.

5. What are the benefits of using a generator for a crane instead of other power sources?

Generators are often preferred over other power sources, such as grid electricity, for cranes because they are more versatile and reliable. Generators can be used in remote locations or in areas without access to electricity. They also provide a consistent power supply without the risk of power outages or fluctuations. Additionally, generators can be more cost-effective in the long run for heavy-duty cranes that require a lot of power.

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