An automobile engine develops 100 kw when rotating at a speed of 1800 r.p.m. what torque does it

step 1 An automobile engine develops 100 kilowatt when rotating at a speed of 1 ,800 revolutions per mi

An automobile engine develops 100 kw when rotating at a...

An automobile engine develops $100 \mathrm{kw}$ when rotating at a speed of 1800 r.p.m. what torque does it deliver?
$\{\mathrm{A}\} 350 \mathrm{Nm} \quad\{\mathrm{B}\} 440 \mathrm{Nm}$
\{C $\} 531 \mathrm{Nm} \quad\{\mathrm{D}\} 628 \mathrm{Nm}$

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Key Concepts

Angular Velocity Conversion

Angular velocity is a measure of how fast an object rotates and is ideally expressed in radians per second. When speeds are provided in rotations per minute (rpm), they must be converted to radians per second using the conversion factor, recognizing that one revolution equals 2? radians and there are 60 seconds in a minute.

Unit Consistency in Calculations

Ensuring that all units are consistently applied is critical in physics calculations. For example, when working with power in kilowatts, it should first be converted to watts, as the standard SI unit for power is the watt. Maintaining unit consistency across torque, angular velocity, and power guarantees accurate application of the governing formulas.

Power and Torque Relationship

This concept explains the direct relation in rotational dynamics where power (the rate of doing work) is the product of torque (the rotational equivalent of force) and angular velocity (the speed of rotation). The formula P = ? × ? underlines many engineering applications, ensuring that energy conversion in engines and motors is properly calculated.

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