What is the Maximum Safe Upward Acceleration of a Block Lifted by a Crane?

In summary, the maximum safe upward acceleration of the block while being lifted by the crane with a maximum safe working load of 1.2 * 10^4 N is 2.2 m/s2. This is calculated by subtracting the force of gravity from the maximum safe working load and dividing it by the mass of the block, giving an acceleration of 2.19 m/s2, which is rounded up to 2.2 m/s2.
  • #1
raamishstuden
3
0

Homework Statement


A crane has a maximum safe working load of 1.2 * 10^4 N and is used to lift a concrete block of mass 1000kg. What is the maximum safe upward acceleration of the block while being lifted?

Homework Equations


F=ma

The Attempt at a Solution


F=mα
1.2*10^4=1000*α
α= 12m/s2The answer is 2.2 m/s2
 
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  • #2
raamishstuden said:

Homework Statement


A crane has a maximum safe working load of 1.2 * 10^4 N and is used to lift a concrete block of mass 1000kg. What is the maximum safe upward acceleration of the block while being lifted?


Homework Equations


F=ma


The Attempt at a Solution


F=mα
1.2*10^4=1000*α
α= 12m/s2


The answer is 2.2 m/s2

You seem to have forgotten that while the crane is pulling up, gravity is pulling down, so the net force is much less than 1.2*10^4 N
Acceleration is the result of the net force.
 
  • #3
Oh! I got it. Here is the solution. Is it right?

F-f=ma
(1.2*10^4)-(9.81*1000)=1000*a
2190=1000a
a=2.19
=2.2 ms-2
 
  • #4
raamishstuden said:
Oh! I got it. Here is the solution. Is it right?

F-f=ma
(1.2*10^4)-(9.81*1000)=1000*a
2190=1000a
a=2.19
=2.2 ms-2

That's more like it.
 
  • #5
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I would like to clarify that the answer provided in the content is incorrect. The correct answer can be found by using the equation F=ma, where F is the maximum safe working load of the crane (1.2 * 10^4 N), m is the mass of the block (1000 kg), and α is the maximum safe upward acceleration. Rearranging the equation, we get α=F/m= 1.2 * 10^4 N/1000 kg = 12 m/s^2. Therefore, the maximum safe upward acceleration of the block while being lifted is 12 m/s^2. It is important to note that this value may change depending on the specific crane and its capabilities, as well as any external factors that may affect the lifting process. It is always important to follow proper safety protocols and guidelines when operating cranes or any heavy machinery to ensure the safety of both the operator and the load being lifted.
 

FAQ: What is the Maximum Safe Upward Acceleration of a Block Lifted by a Crane?

What is the crane acceleration problem?

The crane acceleration problem is a physics concept that refers to the difficulty in accelerating a crane's arm or boom. It is often encountered when trying to lift a heavy load with a crane.

What factors contribute to the crane acceleration problem?

There are several factors that can contribute to the crane acceleration problem, including the weight and distribution of the load, the length and strength of the crane's boom, and external forces such as wind and friction.

How does the crane acceleration problem affect crane operation?

The crane acceleration problem can make it more difficult to lift and move heavy loads, as the crane's arm will experience a slower acceleration and may struggle to reach the necessary speed. This can also put strain on the crane's motor and other components, potentially leading to malfunctions or accidents.

How can the crane acceleration problem be overcome?

To overcome the crane acceleration problem, cranes may be equipped with stronger motors or counterweights to help with acceleration. Operators may also need to adjust the position of the crane's boom or use different lifting techniques to minimize the effects of the problem.

Are there any safety concerns related to the crane acceleration problem?

Yes, the crane acceleration problem can pose safety concerns if not properly addressed. It can increase the risk of accidents or equipment failure, potentially causing harm to workers and damage to property. It is important for crane operators to be aware of the problem and take necessary precautions to ensure safe operation.

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