A simple machine with a velocity ratio of 5 requires an effort of 200\text{ N} to raise a … — JAMB UTME

A simple machine with a velocity ratio of $5$ requires an effort of $200\text{ N}$ to raise a load of $800\text{ N}$ . What is the efficiency of the machine in percentage?

Answer: 80% / 80 / 80 percent / 80 %

Answer

The efficiency of the machine is

80\%

The mechanical advantage is calculated by dividing the load (

800\text{ N}

) by the effort (

200\text{ N}

), yielding

\text{MA} = 4

. Dividing the mechanical advantage by the velocity ratio (

5

) and multiplying by

100\%

gives an efficiency of

80\%

Step-by-Step Solution

Calculate the Mechanical Advantage (MA) of the machine

\text{MA} = \frac{\text{Load}}{\text{Effort}} = \frac{800\text{ N}}{200\text{ N}} = 4

Mechanical Advantage is defined as the ratio of the force overcome (load) to the force applied (effort).

Calculate the Efficiency using Mechanical Advantage and Velocity Ratio

\text{Efficiency} = \left(\frac{\text{MA}}{\text{VR}}\right) \times 100\% = \left(\frac{4}{5}\right) \times 100\% = 80\%

Efficiency is the ratio of Mechanical Advantage to Velocity Ratio expressed as a percentage.

Key Concept

Efficiency of a Simple Machine

Estimated Time:1m 30s

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