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:

Direct Labour Efficiency Variance

The difference between the standard labor hours for actual production and the actual labor hours worked, indicating labor efficiency.

Standard Direct Labour Rate

Standard direct labour rate is the predefined cost allocated for the direct labour per hour that is expected to be incurred in the production process.

Actual Direct Labour Hours

Actual direct labor hours refer to the real number of labor hours spent by workers directly involved in the production process.

Standard Cost System

An accounting system that uses standard costs for product costs, facilitating budgeting and performance evaluation.