THE FOLLOWING INFORMATION IS TO BE USED IN THE NEXT 2 (TWO) QUESTIONS. Twelve (12) lines are strung between the blocks in a frictionless block-and-tackle system of a drilling rig. The drilling line has a strength capacity of 120,000 lbf. Determine the travelling block velocity when hoisting a load of 330,000 lbf if the power at the drawworks is 2,000 hp. Determine the safety factor used if the maximum load that can be supported by the hook is 720,000 Ibf.
THE FOLLOWING INFORMATION IS TO BE USED IN THE NEXT 2 (TWO) QUESTIONS. Twelve (12) lines are strung between the blocks in a frictionless block-and-tackle system of a drilling rig. The drilling line has a strength capacity of 120,000 lbf. Determine the travelling block velocity when hoisting a load of 330,000 lbf if the power at the drawworks is 2,000 hp. Determine the safety factor used if the maximum load that can be supported by the hook is 720,000 Ibf.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![### Educational Content
#### Problem Statement
The following information is to be used in the next two questions:
Twelve (12) lines are strung between the blocks in a frictionless block-and-tackle system of a drilling rig. The drilling line has a strength capacity of 120,000 lbf.
---
**Question 1:**
Determine the travelling block velocity when hoisting a load of 330,000 lbf if the power at the drawworks is 2,000 hp.
[Input Box for Answer]
---
**Question 2:**
Determine the safety factor used if the maximum load that can be supported by the hook is 720,000 lbf.
[Input Box for Answer]
---
### Explanation
In these questions, students are asked to apply concepts of mechanical advantage and safety in the context of a drilling rig's block-and-tackle system. Understanding the constraints and capabilities of such systems is crucial for ensuring safety and efficiency in operations.
- **Frictionless Block-and-Tackle System:** This implies that there is no energy loss due to friction, allowing for more straightforward calculations of mechanical force and velocity.
- **Travelling Block Velocity:** This is the speed at which the hoisting mechanism lifts the load. It's determined by the power available from the drawworks and the weight of the load.
- **Safety Factor:** A vital metric in engineering, the safety factor is the ratio of the maximum load a system can withstand to the actual load applied. This ensures that the system can handle unexpected forces or failures.
These problems require an understanding of the mechanics involved and provide practical context for theoretical principles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc2304c8-1974-4b4c-9b89-46bbcd5de840%2F3ec34bf6-f666-49d9-9e08-e58e88791043%2Fyzibfc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Content
#### Problem Statement
The following information is to be used in the next two questions:
Twelve (12) lines are strung between the blocks in a frictionless block-and-tackle system of a drilling rig. The drilling line has a strength capacity of 120,000 lbf.
---
**Question 1:**
Determine the travelling block velocity when hoisting a load of 330,000 lbf if the power at the drawworks is 2,000 hp.
[Input Box for Answer]
---
**Question 2:**
Determine the safety factor used if the maximum load that can be supported by the hook is 720,000 lbf.
[Input Box for Answer]
---
### Explanation
In these questions, students are asked to apply concepts of mechanical advantage and safety in the context of a drilling rig's block-and-tackle system. Understanding the constraints and capabilities of such systems is crucial for ensuring safety and efficiency in operations.
- **Frictionless Block-and-Tackle System:** This implies that there is no energy loss due to friction, allowing for more straightforward calculations of mechanical force and velocity.
- **Travelling Block Velocity:** This is the speed at which the hoisting mechanism lifts the load. It's determined by the power available from the drawworks and the weight of the load.
- **Safety Factor:** A vital metric in engineering, the safety factor is the ratio of the maximum load a system can withstand to the actual load applied. This ensures that the system can handle unexpected forces or failures.
These problems require an understanding of the mechanics involved and provide practical context for theoretical principles.
Expert Solution
Step 1
Given:-
A frictionless block-and-tackle system of a drilling rig is given
The total number of drilling lines = 12
The strength capacity of the drilling line = 120,000 lbf
To determine:-
a) The traveling block velocity when hoisting load = 330,000 lbf and power at drawworks = 2000 hp
b) The safety factor used if maximum load supported by the hook = 720,000 lbf
Step by step
Solved in 3 steps
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