Math Problem Statement

Which is the equation for a machine's efficiency? (1 point)

Solution

The correct equation for a machine's efficiency is:

Efficiency = output energyinput energy×100\frac{\text{output energy}}{\text{input energy}} \times 100

This is because efficiency is defined as the ratio of useful output energy to input energy, expressed as a percentage.

The correct option from the image is:

Efficiency=output energyinput energy100\text{Efficiency} = \frac{\text{output energy}}{\text{input energy}} \cdot 100.

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Related Questions:

  1. What is the significance of efficiency in mechanical systems?
  2. How does energy loss affect the efficiency of a machine?
  3. Can a machine's efficiency exceed 100%? Why or why not?
  4. What are some common methods to increase the efficiency of a system?
  5. How does efficiency differ between an ideal and a real-world machine?

Tip:

Always ensure to measure input and output energies in the same units (e.g., joules) to calculate efficiency accurately.

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Math Problem Analysis

Mathematical Concepts

Efficiency calculation
Ratio and Proportion

Formulas

Efficiency = (output energy / input energy) × 100

Theorems

Definition of efficiency in energy systems

Suitable Grade Level

Grades 6-8