Solve the Problem $\frac { \pi } { 11 }$ Radians/sec $\frac { 11 \pi } { 16 } \mathrm {~cm} / \mathrm { sec }$

question 153

Multiple Choice

Solve the problem.
-A gear with a radius of 16 centimeters is turning at $\frac { \pi } { 11 }$ radians/sec. What is the linear speed at a point on the outer edge of the gear?

• A) \(\frac { 11 \pi } { 16 } \mathrm {~cm} / \mathrm { sec }\)
• B) \(\frac { \pi } { 176 } \mathrm {~cm} / \mathrm { sec }\)
• C) \(176 \pi \mathrm { cm } / \mathrm { sec }\)
• D) \(\frac { 16 \pi } { 11 } \mathrm {~cm} / \mathrm { sec }\)

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Definitions:

Standard Quantity

The predetermined or estimated amount of materials or inputs needed to produce a single unit of output.

Direct Materials

Basic substances that can be directly linked to the production of a particular item.

Standard Costing

Standard Costing is an accounting method that utilizes standard costs for materials, labor, and overhead for the purpose of controlling costs and identifying variances.

Variable Overhead

Costs that fluctuate in total with changes in activity level, such as the cost of utilities or indirect materials, associated with production or services.