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To Maintain a Rotor at a Uniform Angular Speed of 200 Rad S–1, an Engine Needs to Transmit a Torque of 180 Nm. What is the Power Required by the Engine - Physics

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प्रश्न

To maintain a rotor at a uniform angular speed of 200 rad s–1, an engine needs to transmit a torque of 180 Nm. What is the power required by the engine?

(Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100 % efficient.

उत्तर

Angular speed of the rotor, ω = 200 rad/s

Torque required, τ = 180 Nm

The power of the rotor (P) is related to torque and angular speed by the relation:

P = τω

= 180 × 200 = 36 × 103

= 36 kW

Hence, the power required by the engine is 36 kW.

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पाठ 7: System of Particles and Rotational Motion - Exercises [पृष्ठ १७९]

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एनसीईआरटी Physics [English] Class 11
पाठ 7 System of Particles and Rotational Motion
Exercises | Q 15 | पृष्ठ १७९

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