Practical (SI) unit of work in mechanics Which is the standard practical unit of work used in engineering mechanics?

Difficulty: Easy

Correct Answer: Joule

Explanation:


Introduction / Context:
Units must be clearly distinguished between force, work/energy, and power. In the International System of Units (SI), work and energy share the same unit, used universally in engineering calculations and specifications.


Given Data / Assumptions:

  • Work W = Force * Displacement along the line of action.
  • Use SI base and derived units.


Concept / Approach:

The SI unit of work is the Joule (J), defined as 1 Newton of force acting over 1 meter of displacement: 1 J = 1 N·m. The Newton (N) is the unit of force, the Watt (W) is power (J/s), and the Dyne and Erg are CGS units.


Step-by-Step Solution:

Work definition: W = F * s (when F and s are colinear).Units: [W] = N·m = (kg·m/s^2)·m = kg·m^2/s^2.Name of unit: Joule (J).


Verification / Alternative check:

Dimensional analysis confirms [work] equals [energy], reinforcing that Joule is also the unit of energy.


Why Other Options Are Wrong:

Erg and Dyne belong to the CGS system (1 erg = 1 dyne·cm); Newton is force; Watt is power, not work.


Common Pitfalls:

Confusing Newton-meter as torque only; in SI, N·m is the dimension for both torque and work, but work is a scalar energy transfer, while torque is a vector moment.


Final Answer:

Joule

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