Question

Question.. To maintain a rotor at a uniform angular speed of 200 rad/s , an engine needs to transmit a troquen of 180 Nm . what is the power required by the engine ????????????​

Answer 1

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Given that, the angular speed of the rotor is 200 rad/s. Also, the torque needed to be transmitted by the engine is 180 Nm.

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We've to find out the power required by the engine.⠀⠀⠀⠀⠀⠀⠀

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As a result, power of the rotor required to transmit energy to apply a torque τ to rotate a motor with angular speed ω,

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which is given by :

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→ Power = τω

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where,

• τ = torque

• ω = angular speed

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Substituting the values :

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→ Power = 180 × 200

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→ Power = 36kW

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Therefore, Power required by the engine is 36 kW.

Answer 2

Given:-

• Angular speed (ω) = 200 rad/s
• Torque (τ) = 180 Nm

To Find:-

• Power (P)

Solution:-

We know that,

Power (P) = Torque(τ)×Angular speed(ω)

$\sf P = 180 × 200$

$\boxed{\sf P = 36000 W}$

∴ The Power required by the engine is 36000 W or 36 kW.