**Part A**If the hydraulic cylinder \( AB \) is extending at a constant rate of \( 1 \, \text{ft/s} \), determine the dumpster's angular velocity at the instant \( \theta = 12^\circ \). Assume the counterclockwise rotation as positive. ([Figure 1](#))Express your answer to three significant figures and include the appropriate units.\[\omega = \boxed{\text{Value}} \quad \boxed{\text{Units}}\][Submit] [Request Answer][Provide Feedback]---**Figure 1 Description:**The figure illustrates a dump truck with a dumpster tilted as if dumping its contents. The schematic shows:- A red truck with three sets of wheels.- The hydraulic cylinder labeled as \( AB \) is shown extending.- The dumpster is raised at the back, with a load sketched inside.- Two dimensions are given: - The length from point A to the rear is \( 15 \, \text{ft} \). - The length from the top of the dumpster to its bottom (projected horizontally) is \( 12 \, \text{ft} \). The diagram is used to determine how the hydraulic extension affects the angular velocity of the dumpster.

To Find: The Dumpster's angular velocity ω. Given : The hydraulic cylinder extending at the rate of…

Answered: If the hydraulic cylinder AB is…

If the hydraulic cylinder AB is extending at a constant rate of 1 ft/s, determine the dumpster's angular velocity at the instant = 12°. Assume the counterclockwise rotation as positive.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Part A**

If the hydraulic cylinder \( AB \) is extending at a constant rate of \( 1 \, \text{ft/s} \), determine the dumpster's angular velocity at the instant \( \theta = 12^\circ \). Assume the counterclockwise rotation as positive. ([Figure 1](#))

Express your answer to three significant figures and include the appropriate units.

\[
\omega = \boxed{\text{Value}} \quad \boxed{\text{Units}}
\]

[Submit] [Request Answer]

[Provide Feedback]

---

**Figure 1 Description:**

The figure illustrates a dump truck with a dumpster tilted as if dumping its contents. The schematic shows:

- A red truck with three sets of wheels.
- The hydraulic cylinder labeled as \( AB \) is shown extending.
- The dumpster is raised at the back, with a load sketched inside.
- Two dimensions are given:
- The length from point A to the rear is \( 15 \, \text{ft} \).
- The length from the top of the dumpster to its bottom (projected horizontally) is \( 12 \, \text{ft} \).

The diagram is used to determine how the hydraulic extension affects the angular velocity of the dumpster.

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