### Problem Statement:A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown in the diagram. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?### Diagram Description:The diagram shows a truck on a steep incline. The truck is attached to a power winch, and a cable extends from the winch, goes through a pulley fixed to a tree, and connects back to the truck. The direction of the cable indicates that as the winch pulls the cable in, it helps the truck ascend the incline.### Calculation Steps:1. **Convert the Cable Speed:** The cable speed is given as 48 mm/s. Convert this speed to meters per second for consistency with the distance: \( 48 \text{ mm/s} = 0.048 \text{ m/s} \)2. **Distance to be Moved:** The truck needs to move a distance of 8.86 meters up the incline.3. **Calculate the Time:** Use the formula for time: \[ t = \frac{distance}{speed} \] Substituting the given values: \[ t = \frac{8.86 \text{ m}}{0.048 \text{ m/s}} = 184.58 \text{ s} \]Therefore, the answer is:### Solution:Answer: \( t = 184.58 \text{ s} \)

Answered: Image /qna-images/answer/cca165bf-27a7-43af-b2e7-db6662db7630.jpg

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

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### Problem Statement:

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown in the diagram. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

### Diagram Description:

The diagram shows a truck on a steep incline. The truck is attached to a power winch, and a cable extends from the winch, goes through a pulley fixed to a tree, and connects back to the truck. The direction of the cable indicates that as the winch pulls the cable in, it helps the truck ascend the incline.

### Calculation Steps:

1. **Convert the Cable Speed:**
The cable speed is given as 48 mm/s. Convert this speed to meters per second for consistency with the distance:
\( 48 \text{ mm/s} = 0.048 \text{ m/s} \)

2. **Distance to be Moved:**
The truck needs to move a distance of 8.86 meters up the incline.

3. **Calculate the Time:**
Use the formula for time:
\[
t = \frac{distance}{speed}
\]
Substituting the given values:
\[
t = \frac{8.86 \text{ m}}{0.048 \text{ m/s}} = 184.58 \text{ s}
\]

Therefore, the answer is:

### Solution:
Answer: \( t = 184.58 \text{ s} \)

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