The torque developed by a motor while running at 1500 rpm is 206 N-m, and the shaft torque available is 200 N-m. The iron and mechanical losses, in watts, are:

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SSC JE Electrical 14 Nov 2022 Shift 3 Official Paper
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  1. 300 π
  2. 250 π
  3. 150 π
  4. 500 π

Answer (Detailed Solution Below)

Option 1 : 300 π
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Detailed Solution

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Power flow in the motor

Input power - Armature loss = Developed power

Developed power - (Iron + Mechanical losses) = Shaft power

The relationship between torque and power is:

where, τ = Torque

P = Power

ω = Speed in rad/sec

Calculation

Given, τd = 206 Nm

τshaft = 200 Nm

Iron and mechanical loss = Pd - Pshaft

Iron and mechanical loss = 

Iron and mechanical loss = (206 - 200) × 50 × π  

Iron and mechanical loss = 300 π

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