**Description on Educational Website**### Problem OverviewThe task involves a cylindrical plunger that travels with a velocity \( V_p = (0.007 t^{1/2}) \, \text{m/s} \), where \( t \) is in seconds. This plunger injects a liquid plastic into a mold to form a solid ball. The diameter of the plunger is specified as \( d = 50 \, \text{mm} \).### Objective**Part A:** Determine the amount of time needed to fill the mold to form a solid ball with a volume \( V = \frac{4}{3} \pi r^3 \).*Express your answer to three significant figures and include the appropriate units.*### Diagram ExplanationThe diagram illustrates the setup of the injection molding process:- The cylindrical plunger is depicted at the top of the figure, colored orange.- The diameter of the plunger is labeled as \( d \) and is 50 mm.- The plunger moves through a vertical path labeled \( y \) into a mold.- The mold at the bottom is designed to produce a ball with a diameter of 75 mm.- The nozzle at the end of the plunger funnel is 10 mm wide, which channels the liquid plastic into the mold.In this setup, understanding the relation between the velocity of the plunger, the volume of the mold, and the time required to fill this mold is crucial for optimizing the process.

Answered: Image /qna-images/answer/3c490938-9c1f-44bc-bf64-7ba5c7dc15e0.jpg

The cylindrical plunger traveling at V₂ = (0.007 t¹/2) m/s, where t is in seconds, injects a liquid plastic into the mold to make a solid ball. The diameter of plunger is d = 50 mm. (Figure 1) Part A Determine the amount of time needed to do this if the volume of the ball is V-

The cylindrical plunger traveling at V₂ = (0.007 t¹/2) m/s, where t is in seconds, injects a liquid plastic into the mold to make a solid ball. The diameter of plunger is d = 50 mm. (Figure 1) Part A Determine the amount of time needed to do this if the volume of the ball is V-

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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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

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**Description on Educational Website**

### Problem Overview

The task involves a cylindrical plunger that travels with a velocity \( V_p = (0.007 t^{1/2}) \, \text{m/s} \), where \( t \) is in seconds. This plunger injects a liquid plastic into a mold to form a solid ball. The diameter of the plunger is specified as \( d = 50 \, \text{mm} \).

### Objective

**Part A:** Determine the amount of time needed to fill the mold to form a solid ball with a volume \( V = \frac{4}{3} \pi r^3 \).

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

### Diagram Explanation

The diagram illustrates the setup of the injection molding process:

- The cylindrical plunger is depicted at the top of the figure, colored orange.
- The diameter of the plunger is labeled as \( d \) and is 50 mm.
- The plunger moves through a vertical path labeled \( y \) into a mold.
- The mold at the bottom is designed to produce a ball with a diameter of 75 mm.
- The nozzle at the end of the plunger funnel is 10 mm wide, which channels the liquid plastic into the mold.

In this setup, understanding the relation between the velocity of the plunger, the volume of the mold, and the time required to fill this mold is crucial for optimizing the process.

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