Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A motor generates an output power of 220 W at an angular velocity of 2100 rpm. Calculate the torque (in N m) produced by the motor? 
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Understand the relationship between power (P), torque (τ), and angular velocity (ω). The formula connecting these quantities is given by: $$ P = τ imes ω $$ where P is the power in watts, τ is the torque in newton-meters (N·m), and ω is the angular velocity in radians per second (rad/s). Step 2: Convert angular velocity from RPM to rad/s. The conversion is done using the relation: $$ ω = rac{2 ext{π} imes ext{RPM}}{60} $$ Substituting the given RPM value: $$ ω = rac{2 ext{π} imes 2100}{60} = 220 ext{ rad/s} $$Step 3: Rearrange the power formula to solve for torque (τ): $$ τ = rac{P}{ω} $$Step 4: Substitute the values of power and angular velocity into the torque formula: $$ τ = rac{220 ext{ W}}{220 ext{ rad/s}} = 1 ext{ N·m} $$Step 5: Therefore, the torque produced by the motor is: $$ τ = 1 ext{ N·m} $$ Hence, the answer is option A.
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